Matematicheskii Sbornik. Novaya Seriya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Subscription
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Mat. Sb. (N.S.), 1970, Volume 81(123), Number 2, Pages 228–255 (Mi msb3372)  

This article is cited in 560 scientific papers (total in 561 papers)

First order quasilinear equations in several independent variables

S. N. Kruzhkov


Abstract: In this paper we construct a theory of generalized solutions in the large of Cauchy's problem for the equations
$$ u_t+\sum_{i=1}^n\frac d{dx_i}\varphi_i(t,x,u)+\psi(t,x,u)=0 $$
in the class of bounded measurable functions. We define the generalized solution and prove existence, uniqueness and stability theorems for this solution. To prove the existence theorem we apply the “vanishing viscosity method”; in this connection, we first study Cauchy's problem for the corresponding parabolic equation, and we derive a priori estimates of the modulus of continuity in $L_1$ of the solution of this problem which do not depend on small viscosity.
Bibliography: 22 titles.

Full text: PDF file (2638 kB)
References: PDF file   HTML file

English version:
Mathematics of the USSR-Sbornik, 1970, 10:2, 217–243

Bibliographic databases:

UDC: 517.944
MSC: 35K45, 35A05, 26A42
Received: 23.04.1969

Citation: S. N. Kruzhkov, “First order quasilinear equations in several independent variables”, Mat. Sb. (N.S.), 81(123):2 (1970), 228–255; Math. USSR-Sb., 10:2 (1970), 217–243

Citation in format AMSBIB
\Bibitem{Kru70}
\by S.~N.~Kruzhkov
\paper First order quasilinear equations in several independent variables
\jour Mat. Sb. (N.S.)
\yr 1970
\vol 81(123)
\issue 2
\pages 228--255
\mathnet{http://mi.mathnet.ru/msb3372}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=267257}
\zmath{https://zbmath.org/?q=an:0202.11203|0215.16203}
\transl
\jour Math. USSR-Sb.
\yr 1970
\vol 10
\issue 2
\pages 217--243
\crossref{https://doi.org/10.1070/SM1970v010n02ABEH002156}


Linking options:
  • http://mi.mathnet.ru/eng/msb3372
  • http://mi.mathnet.ru/eng/msb/v123/i2/p228

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Panov E.Yu., “To the Theory of Entropy Sub-Solutions of Degenerate Nonlinear Parabolic Equations”, Math. Meth. Appl. Sci.  crossref  isi
    2. Crandall M.G., “The semigroup approach to first order quasilinear equations in several space variables”, Israel J. Math., 12:2 (1972), 108–132  crossref  mathscinet  zmath
    3. Fabrizio M., “Soluzioni generalizzate e disuguaglianze variazionali per alcuni sistemi differenziali non lineari della fisica matematica”, Ann. Mat. Pura Appl. (4), 95:1 (1973), 63–76  crossref  mathscinet  zmath
    4. É. B. Bykhovskii, “A global boundary-value problem for a quasilinear differential equation of first order”, Math. USSR-Izv., 8:6 (1974), 1387–1431  mathnet  crossref  mathscinet  zmath
    5. Harten A., Hyman J.M., Lax P.D., Keyfitz B., “On finite-difference approximations and entropy conditions for shocks”, Comm. Pure Appl. Math., 29:3 (1976), 297–322  crossref  mathscinet  zmath  adsnasa
    6. K. L. Ou Young, J.A.. Goldstein, “Periodic solutions of conservation laws”, Results. Math., 1:1-2 (1978), 227  crossref  mathscinet  zmath
    7. Bardos C., Penel P., Frisch U., Sulem P.-L., “Modified dissipativity for a non-linear evolution equation arising in turbulence”, Arch. Rational Mech. Anal., 71:3 (1979), 237–256  crossref  mathscinet  zmath  adsnasa
    8. A. S. Kalashnikov, “The concept of a finite rate of propagation of a perturbation”, Russian Math. Surveys, 34:2 (1979), 235–236  mathnet  crossref  mathscinet  zmath
    9. Crandall M., Majda A., “The method of fractional steps for conservation laws”, Numer. Math., 34:3 (1980), 285–314  crossref  mathscinet  zmath  isi
    10. Evans L.C., “On solving certain nonlinear partial differential equations by accretive operator methods”, Israel J. Math., 36:3-4 (1980), 225–247  crossref  mathscinet  zmath  isi
    11. Kuong Lin OuYoung, “Periodic solutions of conservation laws”, Journal of Mathematical Analysis and Applications, 75:1 (1980), 180  crossref  mathscinet  zmath  isi
    12. V. P. Maslov, G. A. Omel'yanov, “Asymptotic soliton-form solutions of equations with small dispersion”, Russian Math. Surveys, 36:3 (1981), 73–149  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    13. Kuo-Shung Cheng, “Decay rate of periodic solutions for a conservation law”, Journal of Differential Equations, 42:3 (1981), 390  crossref  mathscinet  zmath  isi
    14. David Hoff, “Locally Lipschitz solutions of a single conservation law in several space variables”, Journal of Differential Equations, 42:2 (1981), 215  crossref  mathscinet  zmath  isi
    15. Geveci T., “The significance of the stability of difference schemes in different $l^p$-spaces”, SIAM Rev., 24:4 (1982), 413–426  crossref  mathscinet  zmath  isi
    16. Hiroshi Nakazawa, “Stochastic Burgers' equation in the inviscid limit”, Advances in Applied Mathematics, 3:1 (1982), 18  crossref  mathscinet  zmath
    17. K. Gaid, A.Y. Le Roux, G. Martin, “A nonlinear problem occuring in water purification in aerated activated carbon biofilters”, Mathematical Modelling, 3:4 (1982), 293  crossref  zmath  isi
    18. Kuo-Shung Cheng, “Constructing solutions of a single conservation law”, Journal of Differential Equations, 49:3 (1983), 344  crossref  mathscinet  zmath  isi
    19. Yann Brenier, “Résolution d'équations d'évolution quasilinéaires en dimension N d'espace à l'aide d'équations linéaires en dimension N + 1”, Journal of Differential Equations, 50:3 (1983), 375  crossref  mathscinet  zmath  isi
    20. Lorenz J., “Analysis of difference schemes for a stationary shock problem”, SIAM J. Numer. Anal., 21:6 (1984), 1038–1053  crossref  mathscinet  zmath  isi
    21. Osher S., “Riemann solvers, the entropy condition, and difference approximations”, SIAM J. Numer. Anal., 21:2 (1984), 217–235  crossref  mathscinet  zmath  isi
    22. Osher S., Chakravarthy S., “High resolution schemes and the entropy condition”, SIAM J. Numer. Anal., 21:5 (1984), 955–984  crossref  mathscinet  zmath  isi
    23. LeRoux A.Y., Quesseveur P., “Convergence of an antidiffusion Lagrange–Euler scheme for quasilinear equations”, SIAM J. Numer. Anal., 21:5 (1984), 985–994  crossref  mathscinet  zmath  isi
    24. Brenier Y., “Averaged multivalued solutions for scalar conservation laws”, SIAM J. Numer. Anal., 21:6 (1984), 1013–1037  crossref  mathscinet  zmath  isi
    25. Tai-Ping Liu, Michel Pierre, “Source-solutions and asymptotic behavior in conservation laws”, Journal of Differential Equations, 51:3 (1984), 419  crossref  mathscinet  zmath  isi
    26. Lucier B.J., “A stable adaptive numerical scheme for hyperbolic conservation laws”, SIAM J. Numer. Anal., 22:1 (1985), 180–203  crossref  mathscinet  zmath  isi
    27. Sanders R., “The moving grid method for nonlinear hyperbolic conservation laws”, SIAM J. Numer. Anal., 22:4 (1985), 713–728  crossref  mathscinet  zmath  isi
    28. Osher S., “Convergence of generalized MUSCL schemes”, SIAM J. Numer. Anal., 22:5 (1985), 947–961  crossref  mathscinet  zmath  isi
    29. Bradley J. Lucier, “On sobolev regularizations of hyperbolic conservationlaws laws”, Communications in Partial Differential Equations, 10:1 (1985), 1–28  crossref  mathscinet  zmath  isi
    30. Stephen A Williams, Richard C Scalzo, “Differential games and BV functions”, Journal of Differential Equations, 59:3 (1985), 296  crossref  mathscinet  zmath  isi
    31. Richard Sanders, “L1 stability of solutions to certain linear parabolic equations in divergence form”, Journal of Mathematical Analysis and Applications, 112:2 (1985), 335  crossref  mathscinet  zmath  isi
    32. Cesari L., “Nonlinear-Analysis”, Boll. Unione Mat. Italiana, 4A:2 (1985), 157–216  mathscinet  zmath  isi
    33. Brenier Y., Osher S., “Approximate Riemann solvers and numerical flux functions”, SIAM J Numer Anal, 23:2 (1986), 259–273  crossref  mathscinet  zmath  isi
    34. Lorenz J., Sanders R., “Second order nonlinear singular perturbation problems with boundary conditions of mixed type”, SIAM J Math Anal, 17:3 (1986), 580–594  crossref  mathscinet  zmath  isi
    35. Lindquist W.B., “The scalar Riemann problem in two spatial dimensions: piecewise smoothness of solutions and its breakdown”, SIAM J. Math. Anal., 17:5 (1986), 1178–1197  crossref  mathscinet  zmath  isi
    36. George H. Pimbley, “A semigroup associated with a quasilinear system in which the coupling terms are linear—I”, Nonlinear Analysis: Theory, Methods & Applications, 10:9 (1986), 901  crossref  mathscinet  zmath  isi
    37. Kuo-Shung Cheng, “A regularity theorem for a nonconvex scalar conservation law”, Journal of Differential Equations, 61:1 (1986), 79  crossref  mathscinet  isi
    38. Eitan Tadmor, “A minimum entropy principle in the gas dynamics equations”, Applied Numerical Mathematics, 2:3-5 (1986), 211  crossref  mathscinet  zmath  isi
    39. Antony Jameson, Peter D. Lax, “Conditions for the construction of multi-point total variation diminishing difference schemes”, Applied Numerical Mathematics, 2:3-5 (1986), 335  crossref  mathscinet  zmath  isi
    40. W.B. Lindquist, “Construction of solutions for two-dimensional Riemann problems”, Computers & Mathematics with Applications, 12:4-5 (1986), 615  crossref  mathscinet  zmath  isi
    41. Lorenz J., Sanders R., “On the rate of convergence of viscosity solutions for boundary value problems”, SIAM J. Math. Anal., 18:2 (1987), 306–320  crossref  mathscinet  zmath  isi
    42. Kannan R., Ortega R., “A semi-discrete convergent scheme for a quasilinear hyperbolic equation”, Numer. Methods Partial Differential Equations, 3:4 (1987), 341–355  crossref  mathscinet
    43. S. N. Kruzhkov, N. S. Petrosyan, “Asymptotic behaviour of the solutions of the Cauchy problem for non-linear first order equations”, Russian Math. Surveys, 42:5 (1987), 1–47  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    44. Pierre Rouchon, Marc Schonauer, Patrick Valentin, Georges Guiochon, “Numerical Simulation of Band Propagation in Nonlinear Chromatography”, Separation Science and Technology, 22:8-10 (1987), 1793  crossref  isi
    45. Eitan Tadmor, “Entropy functions for symmetric systems of conservation laws”, Journal of Mathematical Analysis and Applications, 122:2 (1987), 355  crossref  mathscinet  zmath  isi
    46. D Serre, “Domaines invariants pour les systèmes hyperboliques de lois de conservation”, Journal of Differential Equations, 69:1 (1987), 46  crossref  mathscinet  zmath  isi
    47. Goodman J.B., LeVeque R.J., “A geometric approach to high resolution TVD schemes”, SIAM J. Numer. Anal., 25:2 (1988), 268–284  crossref  mathscinet  zmath  isi
    48. Lucier B.J., “Regularity through approximation for scalar conservation laws”, SIAM J. Math. Anal., 19:4 (1988), 763–773  crossref  mathscinet  isi
    49. Bustos M.C., Concha F., “On the construction of global weak solutions in the Kynch theory of sedimentation”, Math. Methods Appl. Sci., 10:3 (1988), 245–264  crossref  mathscinet  zmath  isi
    50. LeFloch Ph., “Explicit formula for scalar non-linear conservation laws with boundary condition”, Math. Methods Appl. Sci., 10:3 (1988), 265–287  crossref  mathscinet  zmath  isi
    51. Nakane Sh., “Formation of shocks for a single conservation law”, SIAM J. Math. Anal., 19:6 (1988), 1391–1408  crossref  mathscinet  zmath  isi
    52. E. Yu. Panov, “On the Cauchy problem for a first-order quasi-linear equation in the class of locally integrable functions”, Russian Math. Surveys, 43:1 (1988), 249–250  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    53. Max Bonnefille, “Propagation des oscillations dans deux classes de systemes hyperboliques (2$*$2et3$*$3)”, Communications in Partial Differential Equations, 13:8 (1988), 905–925  crossref  mathscinet  zmath  isi
    54. Stanley Osher, James A Sethian, “Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton–Jacobi formulations”, Journal of Computational Physics, 79:1 (1988), 12  crossref  mathscinet  zmath  isi
    55. François Dubois, Philippe Le Floch, “Boundary conditions for nonlinear hyperbolic systems of conservation laws”, Journal of Differential Equations, 71:1 (1988), 93  crossref  mathscinet  zmath  isi
    56. H. Holden, L. Holden, R. Høegh-Krohn, “A numerical method for first order nonlinear scalar conservation laws in one-dimension”, Computers & Mathematics with Applications, 15:6-8 (1988), 595  crossref  mathscinet  zmath  isi
    57. Aavatsmark I., “Kapillarenergie als Entropiefunktion [Capillary energy as entropy function]”, Z. Angew. Math. Mech., 69:10 (1989), 319–327  crossref  mathscinet  zmath  isi
    58. Teng Zhen Huan, Ying Lungan, “Existence, uniqueness and convergence as vanishing viscosity for a reaction-diffusion-convection system”, Acta Math. Sinica (N.S.), 5:2 (1989), 114–135  crossref  mathscinet  zmath
    59. Cockburn B., “Quasimonotone schemes for scalar conservation laws. I”, SIAM J. Numer. Anal., 26:6 (1989), 1325–1341  crossref  mathscinet  zmath  isi
    60. B. Dakoronya, “Slabaya nepreryvnost i slabaya polunepreryvnost snizu nelineinykh funktsionalov”, UMN, 44:4(268) (1989), 35–98  mathnet  mathscinet  zmath
    61. Eduard Harabetian, “Decay to Rarefactions for Scalar Multidimensional Viscous Conservation Laws”, Communications in Partial Differential Equations, 14:12 (1989), 1607  crossref  mathscinet  isi
    62. Anders Szepessy, “An existence result for scalar conservation laws using measure valued solutions”, Communications in Partial Differential Equations, 14:10 (1989), 1329  crossref  mathscinet  zmath  isi
    63. Hermano Frid, “Uniqueness of Solutions to Hyperbolic Balance Laws in Several Space Dimensions”, Communications in Partial Differential Equations, 14:8-9 (1989), 959  crossref  mathscinet  zmath  isi
    64. J.J Cauret, J.F Colombeau, A.Y Le Roux, “Discontinuous generalized solutions of nonlinear nonconservative hyperbolic equations”, Journal of Mathematical Analysis and Applications, 139:2 (1989), 552  crossref  mathscinet  zmath  isi
    65. Witold Kosiński, B. Brosowski, “Admissibility and uniqueness of weak solutions to hyperbolic systems of balance laws”, Math. Meth. Appl. Sci, 11:2 (1989), 253  crossref  mathscinet  zmath  isi
    66. Bustos M.C., Paiva F., Wendland W., “Control of continuous sedimentation of ideal suspensions as an initial and boundary value problem”, Math. Methods Appl. Sci., 12:6 (1990), 533–548  crossref  mathscinet  zmath  isi
    67. Bustos M.C., Concha F., Wendland W., “Global weak solutions to the problem of continuous sedimentation of an ideal suspension”, Math. Methods Appl. Sci., 13:1 (1990), 1–22  crossref  mathscinet  zmath  isi
    68. Childs P.N., Morton K.W., “Characteristic Galerkin methods for scalar conservation laws in one dimension”, SIAM J. Numer. Anal., 27:3 (1990), 553–594  crossref  mathscinet  zmath  isi
    69. Giga Y., Yoshida Z., “A dynamic free-boundary problem in plasma physics”, SIAM J. Math. Anal., 21:5 (1990), 1118–1138  crossref  mathscinet  zmath  isi
    70. Denis Serre, “Problémes de Riemann singuliers”, Applicable Analysis, 35:1-4 (1990), 175  crossref  mathscinet  zmath
    71. Yann Brenier, “Une méthode particulaire pour les équations non linéaires de diffusion convection en dimension un”, Journal of Computational and Applied Mathematics, 31:1 (1990), 35  crossref  mathscinet  zmath  isi
    72. Perthame B., Tadmor E., “A kinetic equation with kinetic entropy functions for scalar conservation laws”, Comm. Math. Phys., 136:3 (1991), 501–517  crossref  mathscinet  zmath  adsnasa  isi
    73. Rezakhanlou F., “Hydrodynamic limit for attractive particle systems on $Z^d$”, Comm. Math. Phys., 140:3 (1991), 417–448  crossref  mathscinet  zmath  adsnasa  isi
    74. Tveito A., Winther R., “Existence, uniqueness, and continuous dependence for a system of hyperbolic conservation laws modeling polymer flooding”, SIAM J. Math. Anal., 22:4 (1991), 905–933  crossref  mathscinet  zmath  isi
    75. H. Ming, K. Werner, H. Jackisch, “Construction of the entropy solution of hyperbolic conservation laws by a geometrical interpretation of the conservation principle”, Journal of Computational Physics, 95:1 (1991), 40  crossref  mathscinet  adsnasa
    76. Cristiana Mammana, “Evolution equations with forcing term for a class of nonlinear operators”, Nonlinear Analysis: Theory, Methods & Applications, 17:11 (1991), 1011  crossref  mathscinet  isi
    77. Mohsen Maesumi, “Symmetry breaking and the interaction of hyperbolic waves”, IMPACT of Computing in Science and Engineering, 3:4 (1991), 305  crossref  mathscinet  zmath
    78. Gimse T., Risebro N.H., “Solution of the Cauchy problem for a conservation law with a discontinuous flux function”, SIAM J. Math. Anal., 23:3 (1992), 635–648  crossref  mathscinet  zmath  isi
    79. Schochet S., Tadmor E., “The regularized Chapman-Enskog expansion for scalar conservation laws”, Arch. Rational Mech. Anal., 119:2 (1992), 95–107  crossref  mathscinet  zmath  adsnasa  isi
    80. Szepessy A., “On the stability of finite element methods for shock waves”, Comm. Pure Appl. Math., 45:8 (1992), 923–946  crossref  mathscinet  zmath  isi
    81. Freistühler H., “Dynamical stability and vanishing viscosity: a case study of a non-strictly hyperbolic system”, Comm. Pure Appl. Math., 45:5 (1992), 561–582  crossref  mathscinet  zmath  isi
    82. Gamba I.M., “Boundary-layer formation for viscosity approximations in transonic flow”, Phys. Fluids A, 4:3 (1992), 486–490  crossref  mathscinet  zmath  adsnasa  isi
    83. Langtangen H.P., Tveito A., Winther R., “Instability of Buckley-Leverett flow in a heterogeneous medium”, Transp. Porous Med., 9:3 (1992), 165–185  crossref  isi
    84. Kunik M., “A numerical method for some initial-value problems of one scalar hyperbolic conservation law”, Math. Methods Appl. Sci., 15:7 (1992), 495–509  crossref  mathscinet  zmath  isi
    85. Teng Zhen Huan, “Particle method and its convergence for scalar conservation laws”, SIAM J. Numer. Anal., 29:4 (1992), 1020–1042  crossref  mathscinet  zmath  isi
    86. Luc Robbiano, “Unicité des solutions de lois de conservation obtenues comme limites de solutions viscosités”, Applicable Analysis, 43:1-2 (1992), 125  crossref  mathscinet  zmath
    87. Gamba Irene Martínez, “Stationary Transonic Solutions of a One-Dimensional Hydrodynamic Model for Semiconductors”, Communications in Partial Differential Equations, 17:3-4 (1992), 225  crossref  mathscinet
    88. Arnon Levy, “On Majda' Model For Dynamic Combustion”, Communications in Partial Differential Equations, 17:3-4 (1992), 657  crossref  mathscinet  zmath  isi
    89. Heinrich Freistühler, E.Bruce Pitman, “A numerical study of a rotationally degenerate hyperbolic system. Part I. The Riemann problem”, Journal of Computational Physics, 100:2 (1992), 306  crossref  mathscinet  zmath  isi
    90. V. Caselles, “Scalar conservation laws and Hamilton–Jacobi equations in one-space variable”, Nonlinear Analysis: Theory, Methods & Applications, 18:5 (1992), 461  crossref  mathscinet  zmath  isi
    91. Athanasios N Lyberopoulos, “Large-time structure of solutions of scalar conservation laws without convexity in the presence of a linear source field”, Journal of Differential Equations, 99:2 (1992), 342  crossref  mathscinet  zmath  isi
    92. R Natalini, A Tesei, “On a class of perturbed conservation laws”, Advances in Applied Mathematics, 13:4 (1992), 429  crossref  mathscinet  zmath  isi
    93. Gimse T., “Conservation laws with discontinuous flux functions”, SIAM J. Math. Anal., 24:2 (1993), 279–289  crossref  mathscinet  zmath  isi
    94. Kunik M., “A solution formula for a non-convex scalar hyperbolic conservation law with monotone initial data”, Math. Methods Appl. Sci., 16:12 (1993), 895–902  crossref  mathscinet  zmath  isi
    95. Chayes J.T., Osher S.J., Ralston J.V., “On singular diffusion equations with applications to self-organized criticality”, Comm. Pure Appl. Math., 46:10 (1993), 1363–1377  crossref  mathscinet  zmath  isi
    96. Engquist B., E Weinan, “Large time behavior and homogenization of solutions of two-dimensional conservation laws”, Comm. Pure Appl. Math., 46:1 (1993), 1–26  crossref  mathscinet  zmath  isi
    97. LeFloch Ph., Xin Zhou Ping, “Uniqueness via the adjoint problems for systems of conservation laws”, Comm. Pure Appl. Math., 46:11 (1993), 1499–1533  crossref  mathscinet  zmath  isi
    98. Tveito A., Winther R., “An error estimate for a finite difference scheme approximating a hyperbolic system of conservation laws”, SIAM J. Numer. Anal., 30:2 (1993), 401–424  crossref  mathscinet  zmath  isi
    99. Coquel F., LeFloch Ph., “Convergence of finite difference schemes for conservation laws in several space dimensions: a general theory”, SIAM J Numer Anal, 30:3 (1993), 675–700  crossref  mathscinet  zmath  isi
    100. R. Natalini, “Unbounded solutions for conservation laws with source”, Nonlinear Analysis: Theory, Methods & Applications, 21:5 (1993), 349  crossref  mathscinet  zmath  isi
    101. Heinrich Freistühler, “Non-uniformity of vanishing viscosity approximation”, Applied Mathematics Letters, 6:2 (1993), 35  crossref  mathscinet  zmath  isi
    102. Jinghua Wang, Gerald Warnecke, “On Entropy Consistency of Large Time Step Schemes II. Approximate Riemann Solvers”, SIAM J. Numer. Anal, 30:5 (1993), 1252  crossref  mathscinet  zmath  isi
    103. Chancelier J.-Ph., Cohen De Lara M., Pacard F., “Analysis of a conservation PDE with discontinuous flux: a model of settler”, SIAM J. Appl. Math., 54:4 (1994), 954–995  crossref  mathscinet  zmath  isi
    104. Berkenbosch A.C., Kaasschieter E.F., ten Thije Boonkkamp J.H.M., “Finite-difference methods for one-dimensional hyperbolic conservation laws”, Numer. Methods Partial Differential Equations, 10:2 (1994), 225–269  crossref  mathscinet  zmath
    105. Rezakhanlou F., “Evolution of tagged particles in non-reversible particle systems”, Comm. Math. Phys., 165:1 (1994), 1–32  crossref  mathscinet  zmath  adsnasa  isi
    106. Teng Zhen Huan, “On the accuracy of fractional step methods for conservation laws in two dimensions”, SIAM J. Numer. Anal., 31:1 (1994), 43–63  crossref  mathscinet  zmath  isi
    107. Nessyahu H., Tassa T., “Convergence rate of approximate solutions to conservation laws with initial rarefactions”, SIAM J. Numer. Anal., 31:3 (1994), 628–654  crossref  mathscinet  zmath  isi
    108. E. Yu. Panov, “On sequences of measure-valued solutions of a first-order quasilinear equation”, Russian Acad. Sci. Sb. Math., 81:1 (1995), 211–227  mathnet  crossref  mathscinet  zmath  isi
    109. E. Yu. Panov, “Uniqueness of the solution of the Cauchy problem for a first order quasilinear equation with one admissible strictly convex entropy”, Math. Notes, 55:5 (1994), 517–525  mathnet  crossref  mathscinet  zmath  isi
    110. J Fouque, “Totally asymmetric attractive particle systems on $\mathbb Z$ hydrodynamic limit for general initial profiles”, Stochastic Processes and their Applications, 51:1 (1994), 9–23  crossref  mathscinet  zmath  isi
    111. Pierangelo Marcati, Roberto Natalini, “Convergence of the pseudo-viscosity approximation for conservation laws”, Nonlinear Analysis: Theory, Methods & Applications, 23:5 (1994), 621  crossref  mathscinet  zmath  isi
    112. Georges Guiochon, Sadroddin Golshan-Shirazi, “A retrospective on the solution of the ideal model of chromatography”, Journal of Chromatography A, 658:2 (1994), 173  crossref  isi
    113. Isaacson E., Temple B., “Convergence of the $2\times 2$ Godunov method for a general resonant nonlinear balance law”, SIAM J. Appl. Math., 55:3 (1995), 625–640  crossref  mathscinet  zmath  isi
    114. Bressan A., “The unique limit of the Glimm scheme”, Arch. Rational Mech. Anal., 130:3 (1995), 205–230  crossref  mathscinet  zmath  adsnasa  isi
    115. Bressan A., Colombo R.M., “The semigroup generated by $2\times 2$ conservation laws”, Arch. Rational Mech. Anal., 133:1 (1995), 1–75  crossref  mathscinet  zmath  adsnasa  isi
    116. Noelle S., “Convergence of higher order finite volume schemes on irregular grids”, Adv. Comput. Math., 3:1 (1995), 197–218  crossref  mathscinet  zmath
    117. Shemetov N.V., “Existence and stability results for the hyperbolic Stefan problem with relaxation”, Ann. Mat. Pura Appl. (4), 168:1 (1995), 301–316  crossref  mathscinet  zmath  isi
    118. Cockburn B., Coquel F., LeFloch P.G., “Convergence of the finite volume method for multidimensional conservation laws”, SIAM J. Numer. Anal., 32:3 (1995), 687–705  crossref  mathscinet  zmath  isi
    119. Benharbit S., Chalabi A., Vila J.P., “Numerical viscosity and convergence of finite volume methods for conservation laws with boundary conditions”, SIAM J. Numer. Anal., 32:3 (1995), 775–796  crossref  mathscinet  zmath  isi
    120. Lin L., Temple J.B., Wang J., “A comparison of convergence rates for Godunov's method and Glimm's method in resonant nonlinear systems of conservation laws”, SIAM J. Numer. Anal., 32:3 (1995), 824–840  crossref  mathscinet  zmath  isi
    121. Diehl S., “On scalar conservation laws with point source and discontinuous flux function”, SIAM J. Math. Anal., 26:6 (1995), 1425–1451  crossref  mathscinet  zmath  isi
    122. Tang Tao, Teng Zhen Huan, “Error bounds for fractional step methods for conservation laws with source terms”, SIAM J. Numer. Anal., 32:1 (1995), 110–127  crossref  mathscinet  zmath  isi
    123. V. V. Chistyakov, “Weak solutions to Burgers-type equations with nonsmooth data”, Math. Notes, 58:3 (1995), 1005–1009  mathnet  crossref  mathscinet  zmath  isi
    124. E. Yu. Panov, “On strong precompactness of bounded sets of measure-valued solutions of a first order quasilinear equation”, Sb. Math., 186:5 (1995), 729–740  mathnet  crossref  mathscinet  zmath  isi
    125. Hong Bum Il, “Regularity for Hamilton–Jacobi equations via approximation”, Bull. Austral. Math. Soc., 51:2 (1995), 195–213  crossref  mathscinet  zmath  isi
    126. B. L. Keyfitz, “A Geometric Theory of Conservation Laws which Change Type”, Plenary Lecture held at the Annual GAMM Conference at Braunschweig, Germany, April 4–9, 1994, ZAMM - Journal of Applied Mathematics and Mechanics, 75:8 (1995), 571  crossref  mathscinet  zmath  isi
    127. Ž}. Prni{ć, “Godunov scheme for the scalar nonlinear conservation laws with flux depending on the space variable”, Mathematical and Computer Modelling, 22:8 (1995), 1  crossref  mathscinet  zmath  isi
    128. Jiaxin Hu, “A kinetic formulation for scalar balance laws”, Transport Theory and Statistical Physics, 24:9 (1995), 1369  crossref  mathscinet  zmath
    129. Christian Klingenberg, Nils Henrik Risebro, “Convex conservation laws with discontinuous coefficients. existence, uniqueness and asymptotic behavior”, Communications in Partial Differential Equations, 20:11-12 (1995), 1959  crossref  mathscinet  zmath  isi
    130. Bustos M.C., Paiva F., Wendland W.L., “Entropy boundary conditions in the theory of sedimentation of ideal suspensions”, Math. Methods Appl. Sci., 19:9 (1996), 679–697  crossref  mathscinet  zmath  isi
    131. Shen W., Tveito A., Winther R., “A system of conservation laws including a stiff relaxation term; the 2D case”, BIT, 36:4 (1996), 786–813  crossref  mathscinet  zmath  isi
    132. Corrias L., “Fast Legendre–Fenchel transform and applications to Hamilton–Jacobi equations and conservation laws”, SIAM J. Numer. Anal., 33:4 (1996), 1534–1558  crossref  mathscinet  zmath  isi
    133. Greenberg J.M., Leroux A.Y., “A well-balanced scheme for the numerical processing of source terms in hyperbolic equations”, SIAM J. Numer. Anal., 33:1 (1996), 1–16  crossref  mathscinet  zmath  isi
    134. DeVore R.A., Lucier B.J., “On the size and smoothness of solutions to nonlinear hyperbolic conservation laws”, SIAM J Math Anal, 27:3 (1996), 684–707  crossref  mathscinet  zmath  isi
    135. Cockburn B., Gremaud P.-A., “Error estimates for finite element methods for scalar conservation laws”, SIAM J. Numer. Anal., 33:2 (1996), 522–554  crossref  mathscinet  zmath  isi
    136. Liu Xu-Dong, Osher S., “Nonoscillatory high order accurate self-similar maximum principle satisfying shock capturing schemes. I”, SIAM J. Numer. Anal., 33:2 (1996), 760–779  crossref  mathscinet  zmath  isi
    137. Langseth J.O., Tveito A., Winther R., “On the convergence of operator splitting applied to conservation laws with source terms”, SIAM J. Numer. Anal., 33:3 (1996), 843–863  crossref  mathscinet  zmath  isi
    138. E. Yu. Panov, “On measure-valued solutions of the Cauchy problem for a first-order quasilinear equation”, Izv. Math., 60:2 (1996), 335–377  mathnet  crossref  crossref  mathscinet  zmath  isi
    139. H. Yang, “Convergence of Godunov type schemes”, Applied Mathematics Letters, 9:5 (1996), 63  crossref  mathscinet  zmath  isi  elib
    140. A. Chalabi, “An error bound for the polygonal approximation of conservation laws with source terms”, Computers & Mathematics with Applications, 32:8 (1996), 59  crossref  mathscinet  zmath  isi  elib
    141. Diehl S., “Dynamic and steady-state behavior of continuous sedimentation”, SIAM J. Appl. Math., 57:4 (1997), 991–1018  crossref  mathscinet  zmath  isi
    142. Covert P., Rezakhanlou F., “Hydrodynamic limit for particle systems with nonconstant speed parameter”, J. Statist. Phys., 88:1-2 (1997), 383–426  crossref  mathscinet  zmath  adsnasa  isi
    143. Tveito A., Winther R., “On the rate of convergence to equilibrium for a system of conservation laws with a relaxation term”, SIAM J. Math. Anal., 28:1 (1997), 136–161  crossref  mathscinet  zmath  isi
    144. Escobedo M., Zuazua E., “Long-time behavior for a convection-diffusion equation in higher dimensions”, SIAM J Math Anal, 28:3 (1997), 570–594  crossref  mathscinet  zmath  isi
    145. Schroll H.J., Tveito A., Winther R., “An $L^1$-error bound for a semi-implicit difference scheme applied to a stiff system of conservation laws”, SIAM J Numer Anal, 34:3 (1997), 1152–1166  crossref  mathscinet  zmath  isi
    146. Teng Zhen-Huan, Zhang Pingwen, “Optimal $L^1$-rate of convergence for the viscosity method and monotone scheme to piecewise constant solutions with shocks”, SIAM J. Numer. Anal., 34:3 (1997), 959–978  crossref  mathscinet  zmath  isi
    147. E. Yu. Panov, “An approximation scheme for measure-valued solutions of a first-order quasilinear equation”, Sb. Math., 188:1 (1997), 87–113  mathnet  crossref  crossref  mathscinet  zmath  isi
    148. E. Yu. Panov, “A class of systems of quasilinear conservation laws”, Sb. Math., 188:5 (1997), 725–751  mathnet  crossref  crossref  mathscinet  zmath  isi
    149. Z. Prnic, “Second-order scheme for the scalar nonlinear conservation laws with flux depending on the space variable”, Computers & Mathematics with Applications, 33:8 (1997), 51  crossref  mathscinet  isi  elib
    150. M. Ghilani, “Estimation d'erreur pour une loi de conservation scalaire multidimensionelle approchée par un schéma implicite de volumes finis”, C.R. Acad. Sci. Ser. I Math., 324:3 (1997), 343  crossref  mathscinet  zmath  adsnasa
    151. Markos A. Katsoulakis, Athanasios E. Tzavaras, “Contractive relaxation systems and the scalar multidimensional conservation law”, Communications in Partial Differential Equations, 22:1-2 (1997), 225  crossref  mathscinet
    152. Miltiadis V. Papalexandris, Anthony Leonard, Paul E. Dimotakis, “Unsplit Schemes for Hyperbolic Conservation Laws with Source Terms in One Space Dimension”, Journal of Computational Physics, 134:1 (1997), 31  crossref  mathscinet  zmath  isi
    153. Andrea Terracina, “Comparison properties for scalar conservation laws with boundary conditions”, Nonlinear Analysis: Theory, Methods & Applications, 28:4 (1997), 633  crossref  mathscinet  zmath  isi
    154. Carlo Sinestrari, “Instability of Discontinuous Traveling Waves for Hyperbolic Balance Laws”, Journal of Differential Equations, 134:2 (1997), 269  crossref  mathscinet  zmath  isi
    155. Cockburn B., Gremaud P.-A., Yang Jimmy Xiangrong, “A priori error estimates for numerical methods for scalar conservation laws. III. Multidimensional flux-splitting monotone schemes on non-Cartesian grids”, SIAM J. Numer. Anal., 35:5 (1998), 1775–1803  crossref  mathscinet  zmath  isi
    156. Hanouzet B., Natalini R., Tesei A., “On the Chapman-Jouguet limit for a combustion model”, SIAM J. Math. Anal., 29:3 (1998), 619–636  crossref  mathscinet  zmath  isi
    157. Kawashima Sh., Nishibata Sh., “Shock waves for a model system of the radiating gas”, SIAM J. Math. Anal., 30:1 (1998), 95–117  crossref  mathscinet  isi
    158. Huang Feimin, “On the two-dimensional cauchy problem of a hyperbolic system”, Acta Math. Sinica (N.S.), 14:3 (1998), 399–410  crossref  mathscinet  zmath  isi
    159. Bürger R., Wendland W.L., “Entropy boundary and jump conditions in the theory of sedimentation with compression”, Math. Methods Appl. Sci., 21:9 (1998), 865–882  crossref  mathscinet  zmath  isi
    160. Lie K.-A., Haugse V., Hvistendahl Karlsen K., “Dimensional splitting with front tracking and adaptive grid refinement”, Numer. Methods Partial Differential Equations, 14:5 (1998), 627–648  crossref  mathscinet  zmath  isi
    161. Ancona F., Marson A., “On the attainable set for scalar nonlinear conservation laws with boundary control”, SIAM J. Control Optim., 36:1 (1998), 290–312  crossref  mathscinet  zmath  isi
    162. Tang Tao, “Convergence analysis for operator-splitting methods applied to conservation laws with stiff source terms”, SIAM J. Numer. Anal., 35:5 (1998), 1939–1968  crossref  mathscinet  zmath  isi
    163. Harten A., Lax P.D., Levermore C.D., Morokoff W.J., “Convex entropies and hyperbolicity for general Euler equations”, SIAM J. Numer. Anal., 35:6 (1998), 2117–2127  crossref  mathscinet  zmath  isi
    164. Yang Huanan, “On wavewise entropy inequality for high resolution schemes. II. Fully discrete MUSCL schemes with exact evolution in small time”, SIAM J. Numer. Anal., 36:1 (1998), 1–31  crossref  mathscinet  zmath  isi
    165. N. S. Bakhvalov, M. I. Zelikin, A. S. Kalashnikov, V. L. Kamynin, O. A. Oleinik, E. Yu. Panov, N. S. Petrosyan, V. M. Tikhomirov, A. V. Faminskii, V. N. Chubarikov, “Stanislav Nikolaevich Kruzhkov (obituary)”, Russian Math. Surveys, 53:5 (1998), 1071–1078  mathnet  crossref  crossref  mathscinet  zmath  isi
    166. K. Karlsen, “The corrected operator splitting approach applied to a nonlinear advection-diffusion problem”, Computer Methods in Applied Mechanics and Engineering, 167:3-4 (1998), 239  crossref  mathscinet  zmath  adsnasa  isi  elib
    167. Laurent Gosse, “A priori error estimate for a well-balanced scheme designed for inhomogeneous scalar conservation laws”, C.R. Acad. Sci. Ser. I Math., 327:5 (1998), 467  crossref  mathscinet  zmath  isi
    168. B. Perthame, “Uniqueness and error estimates in first order quasilinear conservation laws via the kinetic entropy defect measure”, Journal de Mathématiques Pures et Appliquées, 77:10 (1998), 1055  crossref  mathscinet  zmath  isi  elib
    169. Yuan Hongjun, “Existence and Uniqueness of BV Solutions for a Conservation Law withσ-Finite Borel Measures as Initial Conditions”, Journal of Differential Equations, 146:1 (1998), 90  crossref  mathscinet  zmath
    170. Yuan Hongjun, “Source-type solutions of a singular conservation law with absorption”, Nonlinear Analysis: Theory, Methods & Applications, 32:4 (1998), 467  crossref  mathscinet  zmath
    171. Changjiang Zhu, “Existence of the Entropy Solution for a Viscoelastic Model”, Journal of Differential Equations, 146:1 (1998), 22  crossref  mathscinet  zmath  isi
    172. Alberto Bressan, Wen Shen, “Uniqueness for discontinuous ODE and conservation laws”, Nonlinear Analysis: Theory, Methods & Applications, 34:5 (1998), 637  crossref  mathscinet  zmath  isi
    173. Jörg Härterich, “Attractors of Viscous Balance Laws: Uniform Estimates for the Dimension”, Journal of Differential Equations, 142:1 (1998), 188  crossref  mathscinet  isi
    174. K Ito, Y Yan, “Viscous Scalar Conservation Law with Nonlinear Flux Feedback and Global Attractors”, Journal of Mathematical Analysis and Applications, 227:1 (1998), 271  crossref  mathscinet  zmath  isi
    175. R Bürger, W.L Wendland, “Existence, Uniqueness, and Stability of Generalized Solutions of an Initial-Boundary Value Problem for a Degenerating Quasilinear Parabolic Equation”, Journal of Mathematical Analysis and Applications, 218:1 (1998), 207  crossref  mathscinet  isi
    176. Yuan Hongjun, “The Cauchy Problem for a Singular Conservation Law with Measures as Initial Conditions”, Journal of Mathematical Analysis and Applications, 225:2 (1998), 427  crossref  mathscinet  zmath
    177. Antonin Chambolle, Bradley J. Lucier, “Un principe du maximum pour des opérateurs monotones”, Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 326:7 (1998), 823  crossref  mathscinet  zmath  isi
    178. Shen Wen, Tveito A., Winther R., “On the zero relaxation limit for a system modeling the motions of a viscoelastic solid”, SIAM J. Math. Anal., 30:5 (1999), 1115–1135  crossref  mathscinet  zmath  isi
    179. Sun Wen Tao, Zhang Huai Yu, “Finite element method for two-phase immiscible flow”, Numer. Methods Partial Differential Equations, 15:4 (1999), 407–416  crossref  mathscinet  zmath  isi
    180. Liu Tai-Ping, Yang Tong, “Well-posedness theory for hyperbolic conservation laws”, Comm. Pure Appl. Math., 52:12 (1999), 1553–1586  crossref  mathscinet  zmath  isi
    181. Terracina A., “A free boundary problem for scalar conservation laws”, SIAM J. Math. Anal., 30:5 (1999), 985–1009  crossref  mathscinet  zmath  isi
    182. Tadmor E., Tang Tao, “Pointwise error estimates for scalar conservation laws with piecewise smooth solutions”, SIAM J. Numer. Anal., 36:6 (1999), 1739–1758  crossref  mathscinet  zmath  isi
    183. E. Yu. Panov, “Property of strong precompactness for bounded sets of measure-valued solutions of a first-order quasilinear equation”, Sb. Math., 190:3 (1999), 427–446  mathnet  crossref  crossref  mathscinet  zmath  isi
    184. E. Yu. Panov, “A non-local theory of generalized entropy solutions of the Cauchy problem for a class of hyperbolic systems of conservation laws”, Izv. Math., 63:1 (1999), 129–179  mathnet  crossref  crossref  mathscinet  zmath  isi
    185. J. Carrillo, P. Wittbold, “Unicité des solutions renormalisées de problèmes elliptiques-paraboliques”, C.R. Acad. Sci. Ser. I Math., 328:1 (1999), 23–28  crossref  mathscinet  zmath  adsnasa  isi
    186. L GOSSE, “Sur la stabilité des approximations implicites des lois de conservation scalaires non homogènes”, C.R. Acad. Sci. Ser. I Math., 329:1 (1999), 79  crossref  mathscinet  zmath  adsnasa  isi
    187. M. A. Katsoulakis, G. Kossioris, Ch. Makridakis, “Convergence and error estimates of relaxation schemes for multidimensional conservation laws”, Communications in Partial Differential Equations, 24:3-4 (1999), 395  crossref  mathscinet  zmath  isi
    188. D. Amadori, P. Baiti, P.G. LeFloch, B. Piccoli, “Nonclassical Shocks and the Cauchy Problem for Nonconvex Conservation Laws”, Journal of Differential Equations, 151:2 (1999), 345  crossref  mathscinet  zmath  isi
    189. Peng Zhang, Tong Zhang, “Generalized Characteristic Analysis and Guckenheimer Structure”, Journal of Differential Equations, 152:2 (1999), 409  crossref  mathscinet  zmath  isi
    190. Fabio Ancona, Andrea Marson, “Scalar non-linear conservation laws with integrable boundary data”, Nonlinear Analysis: Theory, Methods & Applications, 35:6 (1999), 687  crossref  mathscinet  zmath  isi
    191. B Cockburn, G Gripenberg, “Continuous Dependence on the Nonlinearities of Solutions of Degenerate Parabolic Equations”, Journal of Differential Equations, 151:2 (1999), 231  crossref  mathscinet  zmath  isi
    192. José Carrillo, Petra Wittbold, “Uniqueness of Renormalized Solutions of Degenerate Elliptic–Parabolic Problems”, Journal of Differential Equations, 156:1 (1999), 93  crossref  mathscinet  zmath  isi
    193. Runhild Aae Klausen, Nils Henrik Risebro, “Stability of Conservation Laws with Discontinuous Coefficients”, Journal of Differential Equations, 157:1 (1999), 41  crossref  mathscinet  zmath  isi
    194. Gui-Qiang Chen, Hermano Frid, “Large-Time Behavior of Entropy Solutions of Conservation Laws”, Journal of Differential Equations, 152:2 (1999), 308  crossref  mathscinet  zmath  isi
    195. M. Bertsch, J. Goncerzewicz, D. Hilhorst, “Large time behaviour of solutions of scalar viscous and nonviscous conservation laws”, Applied Mathematics Letters, 12:3 (1999), 83  crossref  mathscinet  zmath  isi
    196. Sh. Kawashima, Sh. Nishibata, “Cauchy problem for a model system of the radiating gas: weak solutions with a jump and classical solutions”, Math. Models Methods Appl. Sci., 09:01 (1999), 69  crossref  mathscinet  isi
    197. Otto F., “Evolution of Microstructure in Unstable Porous Media Flow: a Relaxational Approach”, Commun. Pure Appl. Math., 52:7 (1999), 873–915  crossref  mathscinet  isi
    198. Ph.G.. LeFloch, Roberto Natalini, “Conservation laws with vanishing nonlinear diffusion and dispersion11This work was partially carried out during a visit of the first author to the Istituto per le Applicazioni del Calcolo”, Nonlinear Analysis: Theory, Methods & Applications, 36:2 (1999), 213  crossref  mathscinet  zmath
    199. J Santos, P de Oliveira, “A converging finite volume scheme for hyperbolic conservation laws with source terms”, Journal of Computational and Applied Mathematics, 111:1-2 (1999), 239  crossref  mathscinet  zmath
    200. Towers J.D., “Convergence of a difference scheme for conservation laws with a discontinuous flux”, SIAM J. Numer. Anal., 38:2 (2000), 681–698  crossref  mathscinet  zmath  isi
    201. Gosse L., Makridakis Ch., “Two a posteriori error estimates for one-dimensional scalar conservation laws”, SIAM J. Numer. Anal., 38:3 (2000), 964–988  crossref  mathscinet  zmath  isi
    202. Chainais-Hillairet C., “Second-order finite-volume schemes for a non-linear hyperbolic equation: error estimate”, Math. Methods Appl. Sci., 23:5 (2000), 467–490  crossref  mathscinet  zmath  isi
    203. Galaktionov V.A., Peletier L.A., Vazquez J.L., “Asymptotics of the fast-diffusion equation with critical exponent”, SIAM J. Math. Anal., 31:5 (2000), 1157–1174  crossref  mathscinet  zmath  isi
    204. Ben Moussa B., Vila J.P., “Convergence of SPH method for scalar nonlinear conservation laws”, SIAM J. Numer. Anal., 37:3 (2000), 863–887  crossref  mathscinet  zmath  isi
    205. Karlsen K.H., Risebro N.H., “Corrected operator splitting for nonlinear parabolic equations”, SIAM J Numer Anal, 37:3 (2000), 980–1003  crossref  mathscinet  zmath  isi
    206. Evje S., Karlsen K.H., “Monotone difference approximations of BV solutions to degenerate convection-diffusion equations”, SIAM J. Numer. Anal., 37:6 (2000), 1838–1860  crossref  mathscinet  zmath  isi
    207. E. Yu. Panov, “On the theory of generalized entropy solutions of the Cauchy problem for a class of non-strictly hyperbolic systems of conservation laws”, Sb. Math., 191:1 (2000), 121–150  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    208. L. Gosse, “A well-balanced flux-vector splitting scheme designed for hyperbolic systems of conservation laws with source terms”, Computers & Mathematics with Applications, 39:9-10 (2000), 135–159  crossref  mathscinet  zmath  adsnasa  isi
    209. B. Nkonga, “On the conservative and accurate CFD approximations for moving meshes and moving boundaries”, Computer Methods in Applied Mechanics and Engineering, 190:13-14 (2000), 1801  crossref  zmath  adsnasa  isi  elib
    210. Miguel Escobedo, Eduard Feireisl, Philippe Laurengot, “Large time behaviour for degenerate parabolic equations with dominating convective term”, Communications in Partial Differential Equations, 25:1-2 (2000), 73  crossref  mathscinet  zmath  isi
    211. Huijiang Zhao, R. A. Admas, “Existence and convergence of solutions for the generalized BBM-burgers equations with dissipative term 2: the multidimensional case”, Applicable Analysis, 75:1-2 (2000), 107  crossref  mathscinet  zmath
    212. Ahmed Noussair, “Analysis of nonlinear resonance in conservation laws with point sources and well-balanced scheme”, Nonlinear Analysis: Theory, Methods & Applications, 42:8 (2000), 1431  crossref  mathscinet  zmath  isi
    213. Lung-an Ying, Pingwen Zhang, “Vanishing Curvature Viscosity for Front Propagation”, Journal of Differential Equations, 161:2 (2000), 289  crossref  mathscinet  zmath  isi
    214. Haitao Fan, Shi Jin, Zhen-huan Teng, “Zero reaction limit for hyperbolic conservation laws with source terms”, Journal of Differential Equations, 168:2 (2000), 270–294  crossref  mathscinet  zmath  isi
    215. D. Hilhorst, M.A. Peletier, “Convergence to Travelling Waves in a Reaction-Diffusion System Arising in Contaminant Transport”, Journal of Differential Equations, 163:1 (2000), 89  crossref  mathscinet  zmath  isi
    216. R. Bürger, S. Evje, K.Hvistendahl Karlsen, “On Strongly Degenerate Convection–Diffusion Problems Modeling Sedimentation–Consolidation Processes”, Journal of Mathematical Analysis and Applications, 247:2 (2000), 517  crossref  mathscinet  isi
    217. Sh. Nishibata, “Asymptotic behavior of solutions to a model system of radiating gas with discontinuous initial data”, Math. Models Methods Appl. Sci., 10:08 (2000), 1209–1231  crossref  mathscinet  isi
    218. Küther M., “Error estimates for the staggered Lax–Friedrichs scheme on unstructured grids”, SIAM J. Numer. Anal., 39:4 (2001), 1269–1301  crossref  mathscinet  zmath  isi
    219. Frid H., “Periodic and almost periodic solutions of conservation laws: Global existence and decay”, Bol. Soc. Brasil. Mat. (N.S.), 32:1 (2001), 1–35  crossref  mathscinet  zmath  isi
    220. Kim Yong Jung, Tzavaras A.E., “Diffusive $N$-waves and metastability in the Burgers equation”, SIAM J. Math. Anal., 33:3 (2001), 607–633  crossref  mathscinet  zmath  isi
    221. Bianchini S., “Stability of $L^\infty$ solutions for hyperbolic systems with coinciding shocks and rarefactions”, SIAM J. Math. Anal., 33:4 (2001), 959–981  crossref  mathscinet  zmath  isi
    222. Jakobsen E.R., Karlsen K.H., Risebro N.H., “On the convergence rate of operator splitting for Hamilton–Jacobi equations with source terms”, SIAM J. Numer. Anal., 39:2 (2001), 499–518  crossref  mathscinet  zmath  isi
    223. A. E. Biryuk, “Spectral Properties of Solutions of the Burgers Equation with Small Dissipation”, Funct. Anal. Appl., 35:1 (2001), 1–12  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    224. J. Ildefonso Díaz, Gonzalo Galiano, Ansgar Jüngel, “On a quasilinear degenerate system arising in semiconductors theory. Part I: Existence and uniqueness of solutions”, Nonlinear Analysis: Real World Applications, 2:3 (2001), 305–336  crossref  mathscinet  zmath
    225. Ingo Thomas, Thomas Sonar, “On a Second Order Residual Estimator for Numerical Schemes for Nonlinear Hyperbolic Conservation Laws”, Journal of Computational Physics, 171:1 (2001), 227  crossref  mathscinet  zmath  isi  elib
    226. Christian Klingenberg, Nils Henrik Risebro, “Stability of a Resonant System of Conservation Laws Modeling Polymer Flow with Gravitation”, Journal of Differential Equations, 170:2 (2001), 344  crossref  mathscinet  zmath  isi
    227. R. Bürger, C. Liu, W.L. Wendland, “Existence and Stability for Mathematical Models of Sedimentation–Consolidation Processes in Several Space Dimensions”, Journal of Mathematical Analysis and Applications, 264:2 (2001), 288  crossref  mathscinet  isi
    228. L.A. Monthé, “A study of splitting scheme for hyperbolic conservation laws with source terms”, Journal of Computational and Applied Mathematics, 137:1 (2001), 1  crossref  mathscinet  zmath  adsnasa  isi
    229. Thierry Cazenave, Flávio Dickstein, “On the Influence of Boundary Conditions on Flows in Porous Media”, Journal of Mathematical Analysis and Applications, 253:1 (2001), 79  crossref  mathscinet  zmath  isi
    230. F. Andreu, C. Ballester, V. Caselles, J.M. Mazón, “The Dirichlet Problem for the Total Variation Flow”, Journal of Functional Analysis, 180:2 (2001), 347  crossref  mathscinet  zmath  isi
    231. Thomas Hillen, Christian Rohde, Frithjof Lutscher, “Existence of Weak Solutions for a Hyperbolic Model of Chemosensitive Movement”, Journal of Mathematical Analysis and Applications, 260:1 (2001), 173  crossref  mathscinet  zmath  isi
    232. Laurent Lévi, Fabrice Peyroutet, “A Time-Fractional Step Method for Conservation Law Related Obstacle Problems”, Advances in Applied Mathematics, 27:4 (2001), 768  crossref  mathscinet  zmath  isi
    233. F. Peyroutet, “Splitting method applied to hyperbolic problem with source term”, Applied Mathematics Letters, 14:1 (2001), 99  crossref  mathscinet  zmath  isi
    234. Alain Yves Le Roux, Marie Noëlle Le Roux, “Convergence d'un schéma à profils stationnaires pour les équations quasi linéaires du premier ordre avec termes sources”, Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 333:7 (2001), 703  crossref  mathscinet  zmath  isi
    235. F. Peyroutet, M. Madaune-Tort, “Error estimate for a splitting method applied to convection-reaction equations”, Math. Models Methods Appl. Sci., 11:06 (2001), 1081–1100  crossref  mathscinet  zmath  isi
    236. L. Gosse, “A well-balanced scheme using non-conservative products designed for hyperbolic systems of conservation laws with source terms”, Math. Models Methods Appl. Sci., 11:02 (2001), 339–365  crossref  mathscinet  zmath  isi
    237. Kim Yong-Jung, “Piecewise self-similar solutions and a numerical scheme for scalar conservation laws”, SIAM J. Numer. Anal., 40:6 (2002), 2105–2132  crossref  mathscinet  zmath  isi
    238. Dias J.-P., LeFloch Ph.G., “Some existence results for conservation laws with source-term”, Math. Methods Appl. Sci., 25:13 (2002), 1149–1160  crossref  mathscinet  zmath  isi
    239. Giga Y., “Viscosity solutions with shocks”, Comm. Pure Appl. Math., 55:4 (2002), 431–480  crossref  mathscinet  zmath  isi
    240. A. Yu. Goritskii, E. Yu. Panov, “Locally Bounded Generalized Entropy Solutions to the Cauchy Problem for a First-Order Quasilinear Equation”, Proc. Steklov Inst. Math., 236 (2002), 110–123  mathnet  mathscinet  zmath
    241. E. Yu. Panov, “Maximum and minimum generalized entropy solutions to the Cauchy problem for a first-order quasilinear equation”, Sb. Math., 193:5 (2002), 727–743  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    242. E. Yu. Panov, “On generalized entropy solutions of the Cauchy problem for a first-order quasilinear equation in the class of locally summable functions”, Izv. Math., 66:6 (2002), 1171–1218  mathnet  crossref  crossref  mathscinet  zmath
    243. E. Yu. Panov, “O statisticheskikh resheniyakh zadachi Koshi dlya kvazilineinogo uravneniya pervogo poryadka”, Matem. modelirovanie, 14:3 (2002), 17–26  mathnet  mathscinet  zmath
    244. Laurent Levi, “Obstacle problems for scalar conservation laws”, ESAIM: M2AN, 35:3 (2002), 575  crossref  mathscinet  isi
    245. Mario Ohlberger, “A posteriorierror estimates for vertex centered finite volume approximations of convection-diffusion-reaction equations”, ESAIM: M2AN, 35:2 (2002), 355  crossref  mathscinet  isi
    246. Kenneth Hvistendahl Karlsen, Nils Henrik Risebro, “Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients”, ESAIM: M2AN, 35:2 (2002), 239  crossref  mathscinet  isi
    247. Seok Hwang, Athanasios E. Tzavaras, “Kinetic decomposition of approximate solutions to conservation laws: application to relaxation and diffusion-dispersion approximations”, Comm. Partial Differential Equations, 27:5-6 (2002), 1229–1254  crossref  mathscinet  zmath  isi
    248. Kenneth Hvistendahl Karlsen, Nils Henrik Risebro, “Unconditionally Stable Methods for Hamilton–Jacobi Equations”, Journal of Computational Physics, 180:2 (2002), 710  crossref  mathscinet  zmath  adsnasa  isi  elib
    249. Kenneth Hvistendahl Karlsen, Nils Henrik Risebro, “A note on front tracking and the equivalence between viscosity solutions of Hamilton–Jacobi equations and entropy solutions of scalar conservation laws”, Nonlinear Analysis: Theory, Methods & Applications, 50:4 (2002), 455  crossref  mathscinet  zmath  isi
    250. G. Bellettini, V. Caselles, M. Novaga, “The Total Variation Flow in N”, Journal of Differential Equations, 184:2 (2002), 475  crossref  mathscinet  zmath  isi
    251. Wancheng Sheng, “Two-Dimensional Riemann Problem for Scalar Conservation Laws”, Journal of Differential Equations, 183:1 (2002), 239  crossref  mathscinet  zmath  isi
    252. Jose Carrillo, Petra Wittbold, “Renormalized Entropy Solutions of Scalar Conservation Laws with Boundary Condition”, Journal of Differential Equations, 185:1 (2002), 137  crossref  mathscinet  zmath  isi
    253. Kenneth H. Karlsen, Mario Ohlberger, “A note on the uniqueness of entropy solutions of nonlinear degenerate parabolic equations”, Journal of Mathematical Analysis and Applications, 275:1 (2002), 439  crossref  mathscinet  zmath  isi
    254. J. Nieto, J. Soler, F. Poupaud, “About uniqueness of weak solutions to first order quasi-linear equations”, Math. Models Methods Appl. Sci., 12:11 (2002), 1599–1615  crossref  mathscinet  zmath  isi
    255. Steinar Evje, Kenneth H Karlsen, “An Error Estimate for Viscous Approximate Solutions of Degenerate Parabolic Equations”, Journal of Nonlinear Mathematical Physics, 9:3 (2002), 262  crossref  mathscinet  zmath  isi
    256. Coronel A., James F., Sepúlveda M., “Numerical identification of parameters for a model of sedimentation processes”, Inverse Problems, 19:4 (2003), 951–972  crossref  mathscinet  zmath  adsnasa  isi  elib
    257. Liu Hongxia, Pan Tao, “Interaction of elementary waves for scalar conservation laws on a bounded domain”, Math. Methods Appl. Sci., 26:7 (2003), 619–632  crossref  mathscinet  zmath  isi
    258. Zhu Changjiang, Duan Renjun, “Existence and uniqueness of entropy solution to initial boundary value problem for the inviscid Burgers equation”, J. Phys. A, 36:8 (2003), 2099–2107  crossref  mathscinet  zmath  adsnasa  isi  elib
    259. S. I. Pokhozhaev, “Multidimensional scalar conservation laws”, Sb. Math., 194:1 (2003), 151–164  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    260. S. I. Pokhozhaev, “On a priori Estimates and Gradient Catastrophes of Smooth Solutions to Hyperbolic Systems of Conservation Laws”, Proc. Steklov Inst. Math., 243 (2003), 247–277  mathnet  mathscinet  zmath
    261. Bressan A., “An ill posed Cauchy problem for a hyperbolic system in two space dimensions”, Rend. Sem. Mat. Univ. Padova, 110 (2003), 103–117  mathscinet  zmath  isi
    262. Galaktionov V.A., Shishkov A.E., “Saint-Venant's principle in blow-up for higher-order quasilinear parabolic equations”, Proc. Roy. Soc. Edinburgh Sect. A, 133 (2003), 1075–1119  crossref  mathscinet  zmath  isi
    263. Stefan Ulbrich, “Adjoint-based derivative computations for the optimal control of discontinuous solutions of hyperbolic conservation laws”, Systems & Control Letters, 48:3-4 (2003), 313  crossref  mathscinet  zmath  isi  elib
    264. Wenxian Shen, “Traveling waves in time periodic lattice differential equations”, Nonlinear Analysis: Theory, Methods & Applications, 54:2 (2003), 319  crossref  mathscinet  zmath  isi
    265. Kazuo Kobayasi, “The equivalence of weak solutions and entropy solutions of nonlinear degenerate second-order equations”, Journal of Differential Equations, 189:2 (2003), 383  crossref  mathscinet  zmath  isi
    266. Haitao Fan, Shi Jin, Judith R. Miller, “Wave patterns, stability, and slow motions in inviscid and viscous hyperbolic equations with stiff reaction terms”, Journal of Differential Equations, 189:1 (2003), 267–291  crossref  mathscinet  zmath  isi
    267. Manuel Portilheiro, “Weak solutions for equations defined by accretive operators II: relaxation limits”, Journal of Differential Equations, 195:1 (2003), 66  crossref  mathscinet  zmath  isi
    268. Wladimir Neves, “Scalar multidimensional conservation laws IBVP in noncylindrical Lipschitz domains”, Journal of Differential Equations, 192:2 (2003), 360  crossref  mathscinet  zmath  isi
    269. Tong Li, “Global solutions of nonconcave hyperbolic conservation laws with relaxation arising from traffic flow”, Journal of Differential Equations, 190:1 (2003), 131  crossref  mathscinet  zmath  isi
    270. Seok Hwang, “Kinetic decomposition for kinetic models of BGK type”, Journal of Differential Equations, 190:2 (2003), 353  crossref  mathscinet  zmath  isi
    271. Yuan Hongjun, Zheng Xiaoyu, “Existence and uniqueness for a quasilinear hyperbolic equation with σ-finite Borel measures as initial conditions”, Journal of Mathematical Analysis and Applications, 277:1 (2003), 27  crossref  mathscinet  zmath  isi
    272. Corrado Lattanzio, Pierangelo Marcati, “Global well-posedness and relaxation limits of a model for radiating gas”, Journal of Differential Equations, 190:2 (2003), 439  crossref  mathscinet  zmath  isi
    273. A.L. Amadori, R. Natalini, “Entropy solutions to a strongly degenerate anisotropic convection–diffusion equation with application to utility theory”, Journal of Mathematical Analysis and Applications, 284:2 (2003), 511  crossref  mathscinet  zmath  isi
    274. Vicente Martínez, Antonio Marquina, “Computation of travelling wave solutions of scalar conservation laws with a stiff source term”, Computers & Fluids, 32:8 (2003), 1161  crossref  mathscinet  zmath  isi
    275. Panov E.Y., “To the theory of generalized entropy solutions of the Cauchy problem for a first order quasilinear equation in the class of locally integrable functions”, Hyperbolic Problems: Theory, Numerics, Applications, 2003, 789–796  crossref  mathscinet  zmath  isi
    276. Laurent Gosse, “Time-Splitting Schemes and Measure Source Terms for a Quasilinear Relaxing System”, Math. Models Methods Appl. Sci., 13:08 (2003), 1081  crossref  mathscinet  zmath  isi
    277. Aregba-Driollet D., Milišić V., “Kinetic approximation of a boundary value problem for conservation laws”, Numer. Math., 97:4 (2004), 595–633  crossref  mathscinet  zmath  isi  elib
    278. Bürger R., Karlsen K.H., Risebro N.H., Towers J.D., “Monotone difference approximations for the simulation of clarifier-thickener units”, Comput. Vis. Sci., 6:2-3 (2004), 83–91  crossref  crossref  mathscinet  zmath
    279. Seok Hwang, “Kinetic decomposition for singularly perturbed higher order partial differential equations”, Journal of Differential Equations, 200:2 (2004), 191  crossref  mathscinet  zmath  isi
    280. F.R Guarguaglini, V Milišić, A Terracina, “A discrete BGK approximation for strongly degenerate parabolic problems with boundary conditions”, Journal of Differential Equations, 202:2 (2004), 183  crossref  mathscinet  zmath  isi
    281. Volker G. Jakubowski, Petra Wittbold, “On a nonlinear elliptic–parabolic integro-differential equation with L1-data”, Journal of Differential Equations, 197:2 (2004), 427  crossref  mathscinet  zmath  isi
    282. Peidong Lei, Zhuoqun Wu, Jingxue Yin, “Boundary value problem for a class of degenerate quasilinear parabolic equations with singularity”, Journal of Mathematical Analysis and Applications, 296:1 (2004), 209  crossref  mathscinet  zmath  isi
    283. M Remešı́ková, “Solution of convection–diffusion problems with nonequilibrium adsorption”, Journal of Computational and Applied Mathematics, 169:1 (2004), 101  crossref  mathscinet  zmath  adsnasa  isi
    284. Changjiang Zhu, Huijiang Zhao, “Well-posedness of the global entropy solution to the Cauchy problem of a hyperbolic conservation laws with relaxation”, Journal of Mathematical Analysis and Applications, 291:2 (2004), 438  crossref  mathscinet  zmath  isi
    285. Juan Nieto, “Hydrodynamical limit for a drift-diffusion system modeling large-population dynamics”, Journal of Mathematical Analysis and Applications, 291:2 (2004), 716  crossref  mathscinet  zmath  isi
    286. R. Bürger, K.H. Karlsen, N.H. Risebro, J.D. Towers, “Numerical methods for the simulation of continuous sedimentation in ideal clarifier-thickener units”, International Journal of Mineral Processing, 73:2-4 (2004), 209  crossref  mathscinet  isi
    287. R. Bürger, J.J.R. Damasceno, K.H. Karlsen, “A mathematical model for batch and continuous thickening of flocculated suspensions in vessels with varying cross-section”, International Journal of Mineral Processing, 73:2-4 (2004), 183  crossref  isi
    288. Th Katsaounis, B Perthame, C Simeoni, “Upwinding sources at interfaces in conservation laws”, Applied Mathematics Letters, 17:3 (2004), 309  crossref  mathscinet  zmath  isi
    289. K. H. Karlsen, N. H. Risebro, J. D. Towers, “Front tracking for scalar balance equations”, J. Hyperbolic Differ. Equ., 01:01 (2004), 115–148  crossref  mathscinet  isi
    290. H. Frid, “Asymptotic stability of non-planar Riemann solutions for multi-D systems of conservation laws with symmetric nonlinearities”, J. Hyperbolic Differ. Equ., 01:03 (2004), 567–579  crossref  mathscinet  isi
    291. Mishra S., “Convergence of upwind finite difference schemes for a scalar conservation law with indefinite discontinuities in the flux function”, SIAM J. Numer. Anal., 43:2 (2005), 559–577  crossref  mathscinet  zmath  isi
    292. Breuß M., “The implicit upwind method for 1-D scalar conservation laws with continuous fluxes”, SIAM J. Numer. Anal., 43:3 (2005), 970–986  crossref  mathscinet  zmath  isi
    293. Andreu F., Caselles V., Mazón J.M., “A strongly degenerate quasilinear equation: the parabolic case”, Arch. Ration. Mech. Anal., 176:3 (2005), 415–453  crossref  mathscinet  zmath  isi
    294. Jovanović V., Rohde Ch., “Finite-volume schemes for Friedrichs systems in multiple space dimensions: a priori anda posteriori error estimates”, Numer. Methods Partial Differential Equations, 21:1 (2005), 104–131  crossref  mathscinet  zmath  isi
    295. Dai Wen-Rong, Kong De-Xing, “Analysis of singularities and development of shocks for a class of multidimensional hyperbolic systems of conservation laws”, Math. Methods Appl. Sci., 28:13 (2005), 1585–1611  crossref  mathscinet  zmath  isi
    296. Lin Fang-Hua, Liu Chun, Zhang Ping, “On hydrodynamics of viscoelastic fluids”, Comm. Pure Appl. Math., 58:11 (2005), 1437–1471  crossref  mathscinet  zmath  isi
    297. Coclite G.M., Risebro N.H., “Conservation laws with time dependent discontinuous coefficients”, SIAM J. Math. Anal., 36:4 (2005), 1293–1309  crossref  mathscinet  zmath  isi
    298. I. V. Kuznetsov, “Entropy solutions to a second order forward-backward parabolic differential equation”, Siberian Math. J., 46:3 (2005), 467–488  mathnet  crossref  mathscinet  zmath  isi
    299. Panov E.Yu., “Existence of strong traces for generalized solutions of multidimensional scalar conservation laws”, J. Hyperbolic Differ. Equ., 2:4 (2005), 885–908  crossref  mathscinet  zmath  isi
    300. Danilov V., Mitrovic D., “Weak asymptotics of shock wave formation process”, Nonlinear Anal., 61:4 (2005), 613–635  crossref  mathscinet  zmath  isi  elib
    301. Luigi Ambrosio, François Bouchut, Camillo De Lellis, “Well-Posedness for a Class of Hyperbolic Systems of Conservation Laws in Several Space Dimensions”, Communications in Partial Differential Equations, 29:9-10 (2005), 1635–1651  crossref  mathscinet  isi
    302. Rachel Levy, Michael Shearer, “Kinetics and nucleation for driven thin film flow”, Physica D: Nonlinear Phenomena, 209:1-4 (2005), 145  crossref  mathscinet  zmath  isi
    303. Azmy S. Ackleh, Kazufumi Ito, “Measure-valued solutions for a hierarchically size-structured population”, Journal of Differential Equations, 217:2 (2005), 431  crossref  mathscinet  zmath  isi
    304. Satoru Takagi, “On renormalized dissipative solutions for conservation laws”, Nonlinear Analysis: Theory, Methods & Applications, 63:5-7 (2005), e2483  crossref  zmath  isi
    305. Haitao Fan, Jörg M. Härterich, “Conservation laws with a degenerate source: Traveling waves, large-time behavior and zero relaxation limit”, Nonlinear Analysis: Theory, Methods & Applications, 63:8 (2005), 1042  crossref  mathscinet  zmath  isi
    306. S. Berres, R. Bürger, A. Coronel, M. Sepúlveda, “Numerical identification of parameters for a strongly degenerate convection–diffusion problem modelling centrifugation of flocculated suspensions”, Applied Numerical Mathematics, 52:4 (2005), 311  crossref  mathscinet  zmath  isi
    307. Alain-Yves Le Roux, Marie-Noelle Le Roux, “Numerical solution of a nonlinear reaction diffusion equation”, Journal of Computational and Applied Mathematics, 173:2 (2005), 211  crossref  mathscinet  zmath  adsnasa  isi
    308. R. Bürger, K.H. Karlsen, N.H. Risebro, “A relaxation scheme forcontinuous sedimentation in ideal clarifier-thickener units”, Computers & Mathematics with Applications, 50:7 (2005), 993  crossref  mathscinet  isi
    309. A. Visintin, “Quasilinear first-order PDEs with hysteresis”, Journal of Mathematical Analysis and Applications, 312:2 (2005), 401  crossref  mathscinet  zmath  adsnasa  isi
    310. Nathalie Lanson, Jean-Paul Vila, “Convergence des méthodes particulaires renormalisées pour les systèmes de Friedrichs”, Comptes Rendus Mathematique, 340:6 (2005), 465  crossref  mathscinet  zmath  isi
    311. M. Campos Pinto, A. Cohen, W. Dahmen, R .Devore, “On the stability of nonlinear conservation laws in the Hausdorff metric”, J. Hyperbolic Differ. Equ., 02:01 (2005), 25–38  crossref  mathscinet  isi
    312. M. Campos Pinto, A. Cohen, P. Petrushev, “High order geometric smoothness for conservation laws”, J. Hyperbolic Differ. Equ., 02:01 (2005), 39–59  crossref  mathscinet  isi
    313. E. Tadmor, M. Rascle, P. Bagnerini, “Compensated compactness for 2D conservation laws”, J. Hyperbolic Differ. Equ., 02:03 (2005), 697–712  crossref  mathscinet  isi
    314. Adimurthi, S. Mishra, G. D. V. Gowda, “Optimal entropy solutions for conservation laws with discontinuous flux-functions”, J. Hyperbolic Differ. Equ., 02:04 (2005), 783–837  crossref  mathscinet  isi
    315. J. Ehrt, J. Härterich, “Asymptotic behavior of spatially inhomogeneous balance laws”, J. Hyperbolic Differ. Equ., 02:03 (2005), 645–672  crossref  mathscinet  isi
    316. Eymard R., Galloueët Th., “Analytical and numerical study of a model of erosion and sedimentation”, SIAM J. Numer. Anal., 43:6 (2006), 2344–2370  crossref  mathscinet  zmath  isi
    317. Jovanović V., Rohde Ch., “Error estimates for finite volume approximations of classical solutions for nonlinear systems of hyperbolic balance laws”, SIAM J. Numer. Anal., 43:6 (2006), 2423–2449  crossref  mathscinet  zmath  isi
    318. Frolkovič P., Kačur J., “Semi-analytical solutions of a contaminant transport equation with nonlinear sorption in 1D”, Comput. Geosci., 10:3 (2006), 279–290  crossref  mathscinet  zmath  isi
    319. Visintin A., “Quasilinear parabolic P.D.E.s with discontinuous hysteresis”, Ann. Mat. Pura Appl. (4), 185:4 (2006), 487–519  crossref  mathscinet  zmath  isi
    320. Du Tao, Wu Zi-Niu, Wang Bing, “On steady state computation of turbulent flows using $k-\varepsilon$ models approximated by the time splitting method”, Int. J. Numer. Methods Fluids, 51:1 (2006), 77–115  crossref  zmath  isi
    321. Ye Xiao Ping, Lin Long Wei, “Error bounds for Glimm difference approximations for scalar conservation laws without convexity”, Acta Math. Sin. (Engl. Ser.), 22:4 (2006), 1271–1282  crossref  mathscinet  zmath  isi
    322. Droniou J., Imbert C., “Fractal first-order partial differential equations”, Arch. Ration. Mech. Anal., 182:2 (2006), 299–331  crossref  mathscinet  zmath  adsnasa  isi
    323. Popov B., Trifonov O., “One-sided stability and convergence of the Nessyahu–Tadmor scheme”, Numer. Math., 104:4 (2006), 539–559  crossref  mathscinet  zmath  isi  elib
    324. Strub I.S., Bayen A.M., “Weak formulation of boundary conditions for scalar conservation laws: an application to highway traffic modelling”, Internat. J. Robust Nonlinear Control, 16:16 (2006), 733–748  crossref  mathscinet  zmath  isi
    325. Omrane A., “Error estimates for scalar conservation laws by a kinetic approach”, Int. J. Math. Math. Sci., 2006, 41510, 15 pp.  crossref  mathscinet  zmath
    326. E. Yu. Panov, “On well-posedness classes of locally bounded generalized entropy solutions of the Cauchy problem for quasilinear first-order equations”, J. Math. Sci., 150:6 (2008), 2578–2587  mathnet  crossref  mathscinet  zmath  elib
    327. M. V. Korobkov, E. Yu. Panov, “Isentropic solutions of quasilinear equations of the first order”, Sb. Math., 197:5 (2006), 727–752  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    328. S. A. Sazhenkov, “The genuinely nonlinear Graetz–Nusselt ultraparabolic equation”, Siberian Math. J., 47:2 (2006), 355–375  mathnet  crossref  mathscinet  zmath  isi  elib  elib
    329. Giuseppe Maria Coclite, Kenneth Hvistendahl Karlsen, “A Singular Limit Problem for Conservation Laws Related to the Camassa–Holm Shallow Water Equation”, Communications in Partial Differential Equations, 31:8 (2006), 1253  crossref  mathscinet  zmath  isi
    330. Kaouther Ammar, Petra Wittbold, Jose Carrillo, “Scalar conservation laws with general boundary condition and continuous flux function”, Journal of Differential Equations, 228:1 (2006), 111  crossref  mathscinet  zmath  isi
    331. Arturo de Pablo, Guillermo Reyes, “Long time behaviour for a nonlinear first-order equation”, Nonlinear Analysis: Theory, Methods & Applications, 65:2 (2006), 284  crossref  mathscinet  zmath  isi
    332. John M. Hong, “An extension of Glimm's method to inhomogeneous strictly hyperbolic systems of conservation laws by “weaker than weak” solutions of the Riemann problem”, Journal of Differential Equations, 222:2 (2006), 515  crossref  mathscinet  zmath  isi
    333. Gui-Qiang Chen, Stéphane Junca, Michel Rascle, “Validity of nonlinear geometric optics for entropy solutions of multidimensional scalar conservation laws”, Journal of Differential Equations, 222:2 (2006), 439  crossref  mathscinet  zmath  isi
    334. B ANDREIANOV, N IGBIDA, “Revising uniqueness for a nonlinear diffusion–convection equation”, Journal of Differential Equations, 227:1 (2006), 69  crossref  mathscinet  isi
    335. Seok Hwang, “Nonlinear diffusive–dispersive limits for scalar multidimensional conservation laws”, Journal of Differential Equations, 225:1 (2006), 90  crossref  mathscinet  zmath  isi
    336. Raimund Bürger, Aníbal Coronel, Mauricio Sepúlveda, “On an upwind difference scheme for strongly degenerate parabolic equations modelling the settling of suspensions in centrifuges and non-cylindrical vessels”, Applied Numerical Mathematics, 56:10-11 (2006), 1397  crossref  mathscinet  zmath  isi
    337. Anne-Laure Dalibard, “Kinetic formulation for heterogeneous scalar conservation laws”, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, 23:4 (2006), 475  crossref  mathscinet  zmath  isi
    338. Giuseppe M. Coclite, Kenneth H. Karlsen, “On the well-posedness of the Degasperis–Procesi equation”, Journal of Functional Analysis, 233:1 (2006), 60  crossref  mathscinet  zmath  isi
    339. Seok Hwang, “Fluid-dynamic limit for the Ruijgrok–Wu model of the Boltzmann equation”, Journal of Mathematical Analysis and Applications, 315:1 (2006), 327  crossref  mathscinet  zmath  isi
    340. R. Bürger, F. Concha, K.H. Karlsen, A. Narváez, “Numerical simulation of clarifier-thickener units treating ideal suspensions with a flux density function having two inflection points”, Mathematical and Computer Modelling, 44:3-4 (2006), 255  crossref  mathscinet  isi
    341. F. Bouchut, H. Frid, “Finite difference schemes with cross derivatives correctors for multidimensional parabolic systems”, J. Hyperbolic Differ. Equ., 03:01 (2006), 27–52  crossref  mathscinet  isi
    342. F. Lagoutière, “Large time behavior of numerical solutions of scalar conservation laws”, J. Hyperbolic Differ. Equ., 03:04 (2006), 631–648  crossref  mathscinet  isi
    343. L. L. Bonilla, C. J. Pérez Vicente, F. Ritort, J. Soler, “Exact solutions and dynamics of globally coupled oscillators”, Math. Models Methods Appl. Sci., 16:12 (2006), 1919–1959  crossref  mathscinet  zmath  isi
    344. Hua Zhang, Wan-cheng Sheng, “Guckenheimer structure of solution of Riemann problem with four pieces of constants in two space dimensions for scalar conservation laws”, J. of Shanghai Univ., 10:4 (2006), 305  crossref  mathscinet  zmath
    345. Nishikawa M., Nishibata Sh., “Convergence rates toward the travelling waves for a model system of the radiating gas”, Math. Methods Appl. Sci., 30:6 (2007), 649–663  crossref  mathscinet  zmath  isi
    346. Liu Hong Xia, Pan Tao, “Construction of solutions and $L^1$-error estimates of viscous methods for scalar conservation laws with boundary”, Acta Math Sinica, 23:3 (2007), 393–410  crossref  mathscinet  zmath  isi
    347. Herty M., Klar A., Piccoli B., “Existence of solutions for supply chain models based on partial differential equations”, SIAM J. Math. Anal., 39:1 (2007), 160–173  crossref  mathscinet  zmath  isi
    348. Tang Huazhong, Warnecke G., “On convergence of a domain decomposition method for a scalar conservation law”, SIAM J. Numer. Anal., 45:4 (2007), 1453–1471  crossref  mathscinet  zmath  isi
    349. Dalibard A.-L., “Kinetic formulation for a parabolic conservation law. Application to homogenization”, SIAM J. Math. Anal., 39:3 (2007), 891–915  crossref  mathscinet  zmath  isi
    350. Eymard R., Gallouët Th., “A partial differential inequality in geological models”, Chin. Ann. Math. Ser. B, 28:6 (2007), 709–736  crossref  mathscinet  zmath  isi
    351. Dalibard A.-L., “Initial layer for the Homogenization of a Conservation Law with Vanishing Viscosity”, Arch. Ration. Mech. Anal., 185:3 (2007), 515–543  crossref  mathscinet  zmath  adsnasa  isi
    352. Moutari S., Rascle M., “A hybrid Lagrangian model based on the Aw–Rascle traffic flow model”, SIAM J. Appl. Math., 68:2 (2007), 413–436  crossref  mathscinet  zmath  isi
    353. Echenim N., Clement F., Sorine M., “Multiscale modeling of follicular ovulation as a reachability problem”, Multiscale Model. Simul., 6:3 (2007), 895–912  crossref  mathscinet  zmath  isi  elib
    354. Sheng W., Zhang Tong, “A cartoon for the climbing ramp problem of a shock and von Neumann paradox”, Arch. Ration. Mech. Anal., 184:2 (2007), 243–255  crossref  mathscinet  zmath  isi
    355. Sjoberg D., “On uniqueness and continuity for the quasi-linear, bianisotropic maxwell equations, using an entropy condition”, Progress In Electromagnetics Research, 71 (2007), 317–339  crossref  isi  elib
    356. Jun Young-Bae, Kim Young-Hee, Oh Kyong-Ah, “Subtraction algebras with additional conditions”, Commun. Korean Math. Soc., 22:1 (2007), 1–7  crossref  mathscinet  zmath
    357. Hwang Seok, “Convergence of approximate solutions to scalar conservation laws by degenerate diffusion”, Commun. Korean Math. Soc., 22:1 (2007), 145–155  crossref  mathscinet  zmath
    358. Panov E.Yu., “Existence of strong traces for quasi-solutions of multidimensional conservation laws”, J. Hyperbolic Differ. Equ., 4:4 (2007), 729–770  crossref  mathscinet  zmath  isi  elib
    359. Karlsen K.H., Rascle M., Tadmor E., “On the existence and compactness of a two-dimensional resonant system of conservation laws”, Commun. Math. Sci., 5:2 (2007), 253–265  crossref  mathscinet  zmath  isi
    360. Jianwen Zhang, “Well-posedness for a class of nonlinear parabolic equations with strong degeneracy”, Nonlinear Analysis: Theory, Methods & Applications, 67:1 (2007), 270  crossref  mathscinet  zmath  isi
    361. Giuseppe M. Coclite, Kenneth H. Karlsen, “On the uniqueness of discontinuous solutions to the Degasperis–Procesi equation”, Journal of Differential Equations, 234:1 (2007), 142  crossref  mathscinet  zmath  isi
    362. Adimurthi, Siddhartha Mishra, G.D. Veerappa Gowda, “Conservation law with the flux function discontinuous in the space variable—II”, Journal of Computational and Applied Mathematics, 203:2 (2007), 310  crossref  mathscinet  zmath  adsnasa  isi
    363. Raimund Bürger, Ariel Narváez, “Steady-state, control, and capacity calculations for flocculated suspensions in clarifier–thickeners”, International Journal of Mineral Processing, 84:1-4 (2007), 274  crossref  isi
    364. Matania Ben-Artzi, Philippe G. LeFloch, “Well-posedness theory for geometry-compatible hyperbolic conservation laws on manifolds”, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, 24:6 (2007), 989  crossref  mathscinet  zmath  isi
    365. Raimund Bürger, Hermano Frid, Kenneth H. Karlsen, “On the well-posedness of entropy solutions to conservation laws with a zero-flux boundary condition”, Journal of Mathematical Analysis and Applications, 326:1 (2007), 108  crossref  mathscinet  zmath  isi
    366. M. Remešíková, “Numerical solution of two-dimensional convection–diffusion–adsorption problems using an operator splitting scheme”, Applied Mathematics and Computation, 184:1 (2007), 116  crossref  mathscinet  zmath  isi
    367. M. Bendahmane, K. H. Karlsen, J. M. Urbano, “On a two-sidedly degenerate chemotaxis model with volume-filling effect”, Math. Models Methods Appl. Sci., 17:05 (2007), 783–804  crossref  mathscinet  zmath  isi
    368. Bürger R., García A., Karlsen K.H., Towers J.D., “A family of numerical schemes for kinematic flows with discontinuous flux”, J. Engrg. Math., 60:3-4 (2008), 387–425  crossref  mathscinet  zmath  isi
    369. Lanson N., Vila J.-P., “Renormalized meshfree schemes. II. Convergence for scalar conservation laws”, SIAM J. Numer. Anal., 46:4 (2008), 1935–1964  crossref  mathscinet  zmath  isi
    370. Bürger R., Ruiz R., Schneider K., Sepúlveda M., “Fully adaptive multiresolution schemes for strongly degenerate parabolic equations in one space dimension”, M2AN Math. Model. Numer. Anal., 42:4 (2008), 535–563  crossref  mathscinet  zmath  isi  elib
    371. Bürger R., Ruiz R., Schneider K., Sepúlveda M.A., “Fully adaptive multiresolution schemes for strongly degenerate parabolic equations with discontinuous flux”, J. Engrg. Math., 60:3-4 (2008), 365–385  crossref  mathscinet  zmath  isi  elib
    372. V. A. Galaktionov, S. I. Pokhozhaev, “Third-order nonlinear dispersive equations: Shocks, rarefaction, and blowup waves”, Comput. Math. Math. Phys., 48:10 (2008), 1784–1810  mathnet  crossref  mathscinet  zmath  isi  elib  elib
    373. Galaktionov V.A., “Nonlinear dispersion equations: smooth deformations, compactions, and extensions to higher orders”, Comput. Math. Math. Phys., 48:10 (2008), 1823–1856  mathnet  crossref  mathscinet  zmath  isi  elib
    374. Lin Gui-cheng, Sheng Wan-cheng, “Godunov's method for initial-boundary value problem of scalar conservation laws”, J. Shanghai Univ., 12:4 (2008), 298–301  crossref  mathscinet  zmath
    375. Yao Ai-di, Sheng Wan-cheng, “Initial-boundary value problem of nonlinear hyperbolic system for conservation laws with delta-shock waves”, J. Shanghai Univ., 12:4 (2008), 306–310  crossref  mathscinet  zmath
    376. Galaktionov V.A., “On higher-order viscosity approximations of odd-order nonlinear PDEs”, J. Engrg. Math., 60:2 (2008), 173–208  crossref  mathscinet  zmath  isi  elib
    377. Shearer M., Gray J.M.N.T., Thornton A.R., “Stable solutions of a scalar conservation law for particle-size segregation in dense granular avalanches”, European J. Appl. Math., 19:1 (2008), 61–86  crossref  mathscinet  zmath  isi  elib
    378. A. V. Gasnikov, “Convergence in the form of a solution to the Cauchy problem for a quasilinear parabolic equation with a monotone initial condition to a system of waves”, Comput. Math. Math. Phys., 48:8 (2008), 1376–1405  mathnet  crossref  mathscinet  zmath  isi  elib  elib
    379. Pohozaev S.I., “On the nonexistence of global solutions of the Hamilton–Jacobi equation”, Differ. Equ., 44:10 (2008), 1467–1477  crossref  mathscinet  zmath  isi  elib  elib
    380. Greg Norgard, Kamran Mohseni, “A regularization of the Burgers equation using a filtered convective velocity”, J. Phys. A: Math. Theor, 41:34 (2008), 344016  crossref  mathscinet  zmath  isi
    381. Romain Nguyen van yen, Marie Farge, Dmitry Kolomenskiy, Kai Schneider, Nick Kingsbury, “Wavelets meet Burgulence: CVS-filtered Burgers equation”, Physica D: Nonlinear Phenomena, 237:14-17 (2008), 2151  crossref  mathscinet  zmath  isi
    382. Kaouther Ammar, “On nonlinear diffusion problems with strong degeneracy”, Journal of Differential Equations, 244:8 (2008), 1841  crossref  mathscinet  zmath  isi
    383. Gui-Qiang Chen, Nadine Even, Christian Klingenberg, “Hyperbolic conservation laws with discontinuous fluxes and hydrodynamic limit for particle systems”, Journal of Differential Equations, 245:11 (2008), 3095  crossref  mathscinet  zmath  isi
    384. Jin Feng, David Nualart, “Stochastic scalar conservation laws”, Journal of Functional Analysis, 255:2 (2008), 313  crossref  mathscinet  zmath  isi
    385. Wen Shen, Zhengfu Xu, “Vanishing viscosity approximation to hyperbolic conservation laws”, Journal of Differential Equations, 244:7 (2008), 1692  crossref  mathscinet  zmath  isi
    386. J. Kačur, B. Malengier, M. Remešíkov, “Convergence of an operator splitting method on a bounded domain for a convection–diffusion–reaction system”, Journal of Mathematical Analysis and Applications, 348:2 (2008), 894  crossref  mathscinet  zmath  adsnasa  isi
    387. Philippe G. LeFloch, Baver Okutmustur, “Hyperbolic conservation laws on manifolds with limited regularity”, Comptes Rendus Mathematique, 346:9-10 (2008), 539  crossref  mathscinet  zmath  isi
    388. L. Caravenna, “An entropy based Glimm-type functional”, J. Hyperbolic Differ. Equ., 05:03 (2008), 643–662  crossref  mathscinet  isi
    389. Ambrosio L., Frid H., “Multiscale Young measures in almost periodic homogenization and applications”, Arch. Ration. Mech. Anal., 192:1 (2009), 37–85  crossref  mathscinet  zmath  isi
    390. Dalibard A.-L., “Homogenization of non-linear scalar conservation laws”, Arch. Ration. Mech. Anal., 192:1 (2009), 117–164  crossref  mathscinet  zmath  adsnasa  isi
    391. Ohlberger M., “A review of a posteriori error control and adaptivity for approximations of non-linear conservation laws”, Internat. J. Numer. Methods Fluids, 59:3 (2009), 333–354  crossref  mathscinet  zmath  adsnasa  isi
    392. Danilov V.G., Mitrovic D., “Smooth approximations of global in time solutions to scalar conservation laws”, Abstr. Appl. Anal., 2009, 350762, 26 pp.  crossref  mathscinet  zmath  isi  elib
    393. Bürger R., Karlsen K.H., Towers J.D., “An Engquist–Osher-type scheme for conservation laws with discontinuous flux adapted to flux connections”, SIAM J. Numer. Anal., 47:3 (2009), 1684–1712  crossref  mathscinet  zmath  isi  elib
    394. LeFloch Ph.G., Okutmustur B., Neves W., “Hyperbolic conservation laws on manifolds. An error estimate for finite volume schemes”, Acta Math. Sin. (Engl. Ser.), 25:7 (2009), 1041–1066  crossref  mathscinet  zmath  isi  elib
    395. Mitrovic D., Bojkovic V., Danilov V.G., “Linearization of the Riemann problem for a triangular system of conservation laws and delta shock wave formation process”, Math. Meth. Appl. Sci., 33:7 (2009), 904–921  crossref  mathscinet  isi
    396. N. N. Subbotina, E. A. Kolpakova, “On the structure of locally Lipschitz minimax solutions of the Hamilton–Jacobi–Bellman equation in terms of classical characteristics”, Proc. Steklov Inst. Math. (Suppl.), 268, suppl. 1 (2010), S222–S239  mathnet  crossref  isi  elib
    397. Frid H., Silva J., “Homogenization of nonlinear PDEs in the Fourier–Stieltjes algebras”, SIAM J. Math. Anal., 41:4 (2009), 1589–1620  crossref  mathscinet  zmath  isi
    398. A. V. Gasnikov, “Time-asymptotic behaviour of a solution of the Cauchy initial-value problem for a conservation law with non-linear divergent viscosity”, Izv. Math., 73:6 (2009), 1111–1148  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    399. Holden H., Karlsen K.H., Mitrovic D., “Zero diffusion-dispersion-smoothing limits for a scalar conservation law with discontinuous flux function”, Int. J. Differ. Equ., 2009, 279818, 33 pp.  crossref  mathscinet
    400. Jia Zhi, Yao Ai-di, “Solutions to a hyperbolic system of conservation laws on two boundaries”, Appl. Math. J. Chinese Univ. Ser. B, 24:4 (2009), 495–502  crossref  mathscinet  zmath  isi
    401. Aleksić J., Mitrovic D., Pilipović S., “Hyperbolic conservation laws with vanishing nonlinear diffusion and linear dispersion in heterogeneous media”, J. Evol. Equ., 9:4 (2009), 809–828  crossref  mathscinet  zmath  isi  elib
    402. Holden H., Karlsen K.H., Mitrovic D., Panov E.Yu., “Strong compactness of approximate solutions to degenerate elliptic-hyperbolic equations with discontinuous flux function”, Acta Math. Sci. Ser. B Engl. Ed., 29:6 (2009), 1573–1612  crossref  mathscinet  zmath  isi  elib
    403. Panov E.Yu., “On the strong pre-compactness property for entropy solutions of a degenerate elliptic equation with discontinuous flux”, J. Differential Equations, 247:10 (2009), 2821–2870  crossref  mathscinet  zmath  isi  elib
    404. Antontsev S., Díaz J.I., “On gradient estimates and other qualitative properties of solutions of nonlinear non autonomous parabolic systems”, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM, 103:1 (2009), 201–214  crossref  mathscinet  zmath  isi
    405. Panov E.Yu., “On infinite-dimensional Keyfitz-Kranzer systems of conservation laws”, Differ. Equ., 45:2 (2009), 274–278  crossref  mathscinet  zmath  isi  elib  elib
    406. Lyashko A.D., Fedotov E.M., “Galerkin-Petrov limit schemes for the convection-diffusion equation”, Differ. Equ., 45:7 (2009), 1063–1073  crossref  mathscinet  zmath  isi  elib  elib
    407. Ambrosio L., Crippa G., Figalli A., Spinolo L.V., “Some New Well-Posedness Results for Continuity and Transport Equations, and Applications to the Chromatography System”, SIAM Journal on Mathematical Analysis, 41:5 (2009), 1890–1920  crossref  mathscinet  zmath  isi
    408. B. Andreianov, M. Bendahmane, K.H. Karlsen, S. Ouaro, “Well-posedness results for triply nonlinear degenerate parabolic equations”, Journal of Differential Equations, 247:1 (2009), 277  crossref  mathscinet  zmath  isi
    409. Frederike Kissling, Philippe G. LeFloch, Christian Rohde, “A kinetic decomposition for singular limits of non-local conservation laws”, Journal of Differential Equations, 247:12 (2009), 3338  crossref  mathscinet  zmath  isi
    410. Hassan Ibrahim, “Existence and uniqueness for a nonlinear parabolic/Hamilton–Jacobi coupled system describing the dynamics of dislocation densities”, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, 26:2 (2009), 415  crossref  mathscinet  zmath  isi
    411. Mostafa Bendahmane, Raimund Bürger, Ricardo Ruiz-Baier, Kai Schneider, “Adaptive multiresolution schemes with local time stepping for two-dimensional degenerate reaction–diffusion systems”, Applied Numerical Mathematics, 59:7 (2009), 1668  crossref  mathscinet  zmath  isi
    412. Luigi Ambrosio, Hermano Frid, Jean Silva, “Multiscale Young measures in homogenization of continuous stationary processes in compact spaces and applications”, Journal of Functional Analysis, 256:6 (2009), 1962  crossref  mathscinet  zmath  isi
    413. Adimurthi, G.D. Veerappa Gowda, Jérôme Jaffré, “Monotonization of flux, entropy and numerical schemes for conservation laws”, Journal of Mathematical Analysis and Applications, 352:1 (2009), 427  crossref  mathscinet  zmath  isi
    414. Xiaozhou Yang, Tao Wei, “New structures for non-selfsimilar solutions of multi-dimensional conservation laws”, Acta Mathematica Scientia, 29:5 (2009), 1182  crossref  mathscinet  zmath
    415. S. Diehl, “A uniqueness condition for nonlinear convection-diffusion equations with discontinuous coefficients”, J. Hyperbolic Differ. Equ., 06:01 (2009), 127–159  crossref  mathscinet
    416. E. Comparini, R. Dal Passo, C. Pescatore, M. Ughi, “On a model for the propagation of isotopic disequilibrium by diffusion”, Math. Models Methods Appl. Sci., 19:08 (2009), 1277–1294  crossref  mathscinet  zmath  isi
    417. Kolb O., Lang J., Bales P., “An implicit box scheme for subsonic compressible flow with dissipative source term”, Numer. Algorithms, 53:2-3 (2010), 293–307  crossref  mathscinet  zmath  adsnasa  isi
    418. Kondo C.I., Webler C.M., “Higher-Order for the Multidimensional Generalized BBM-Burgers Equation: Existence and Convergence Results”, Acta Appl. Math., 111:1 (2010), 45–64  crossref  mathscinet  zmath  isi
    419. Galaktionov V.A., “Shock waves and compactons for fifth-order non-linear dispersion equations”, European J. Appl. Math., 21:1 (2010), 1–50  crossref  mathscinet  zmath  isi  elib
    420. Panov E.Yu., “Existence and strong pre-compactness properties for entropy solutions of a first-order quasilinear equation with discontinuous flux”, Arch. Ration. Mech. Anal., 195:2 (2010), 643–673  crossref  mathscinet  zmath  adsnasa  isi
    421. May L.B.H., Shearer M., Daniels K.E., “Scalar Conservation Laws with Nonconstant Coefficients with Application to Particle Size Segregation in Granular Flow”, J. Nonlinear Sci., 2010  crossref  mathscinet  isi
    422. Mamaghani M., Enchéry G., Chainais-Hillairet C., “Development of a refinement criterion for adaptive mesh refinement in steam-assisted gravity drainage simulation”, Comput. Geosci., 2010  crossref  mathscinet  isi
    423. D'Apice C., Kogut P.I., Manzo R., “Efficient controls for traffic flow on networks”, J. Dyn. Control Syst., 16:3 (2010), 407–437  crossref  mathscinet  zmath  isi
    424. Ch. Srinivasa Rao, Manoj K. Yadav, “Large-time behaviour of solutions of the inviscid non-planar Burgers equation”, J. Eng. Math., 2010  crossref  mathscinet  isi
    425. Feireisl E., “Mathematical Models of Incompressible Fluids as Singular Limits of Complete Fluid Systems”, Milan J. Math., 2010  crossref  mathscinet  isi
    426. Mi-Ho Giga, Yoshikazu Giga, “Very singular diffusion equations: second and fourth order problems”, Japan J. Indust. Appl. Math, 27:3 (2010), 323–345  crossref  mathscinet  zmath  isi
    427. E. A. Kolpakova, “Obobschennyi metod kharakteristik v teorii uravnenii Gamiltona–Yakobi i zakonov sokhraneniya”, Tr. IMM UrO RAN, 16, no. 5, 2010, 95–102  mathnet  elib
    428. Crippa G., Spinolo L.V., “An Overview on Some Results Concerning the Transport Equation and its Applications to Conservation Laws”, Communications on Pure and Applied Analysis, 9:5 (2010), 1283–1293  crossref  mathscinet  zmath  isi
    429. Francesco Bigolin, Francesco Serra Cassano, “Intrinsic regular graphs in Heisenberg groups vs. weak solutions of non-linear first-order PDEs”, Advances in Calculus of Variations, 3:1 (2010), 69  crossref  mathscinet  zmath  isi
    430. V. A. Garanzha, “Polyconvex potentials, invertible deformations, and a thermodynamically consistent formulation of the equations of the nonlinear theory of elasticity”, Comput. Math. Math. Phys., 50:9 (2010), 1561–1587  mathnet  crossref  mathscinet  adsnasa  isi  elib
    431. B. Andreianov, M. Bendahmane, K. H. Karlsen, “Discrete duality finite volume schemes for doubly nonlinear degenerate hyperbolic-parabolic equations”, J. Hyperbolic Differ. Equ., 07:01 (2010), 1–67  crossref  mathscinet  isi
    432. H. Frankowska, “On LeFloch's solutions to the initial-boundary value problem for scalar conservation laws”, J. Hyperbolic Differ. Equ., 07:03 (2010), 503–543  crossref  mathscinet  isi
    433. Mitrovic D., “Existence and Stability of a Multidimensional Scalar Conservation Law with Discontinuous Flux”, Netw. Heterog. Media, 5:1 (2010), 163–188  crossref  mathscinet  zmath  isi  elib
    434. Brenier Ya., “Hidden Convexity in Some Nonlinear PDEs From Geomety and Physics”, J. Convex Anal., 17:3-4, SI (2010), 945–959  mathscinet  zmath  isi
    435. Victor A. Galaktionov, “Single Point Gradient Blow-Up and Nonuniqueness for a Third-Order Nonlinear Dispersion Equation: Third-Order Nonlinear Dispersion Equation”, Stud. Appl. Math., 126:2 (2011), 103–143  crossref  mathscinet  zmath  isi
    436. Corrado Lattanzio, Amelio Maurizi, Benedetto Piccoli, “Moving Bottlenecks in Car Traffic Flow: A PDE-ODE Coupled Model”, SIAM J. Math. Anal, 43:1 (2011), 50  crossref  mathscinet  zmath  isi
    437. Boris Andreianov, Kenneth Hvistendahl Karlsen, Nils Henrik Risebro, “A Theory of $L^1$-Dissipative Solvers for Scalar Conservation Laws with Discontinuous Flux”, Arch. Rational Mech. Anal., 201:1 (2011), 27–86  crossref  mathscinet  zmath  isi
    438. S. Blandin, D. Work, P. Goatin, B. Piccoli, A. Bayen, “A General Phase Transition Model for Vehicular Traffic”, SIAM J. Appl. Math, 71:1 (2011), 107  crossref  mathscinet  zmath  isi
    439. F. Betancourt, R. Bürger, K. H. Karlsen, E. M. Tory, “On nonlocal conservation laws modelling sedimentation”, Nonlinearity, 24:3 (2011), 855  crossref  mathscinet  zmath  adsnasa  isi
    440. Simone Cifani, Espen R. Jakobsen, “Entropy solution theory for fractional degenerate convection–diffusion equations”, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, 28:3 (2011), 413–441  crossref  mathscinet  zmath  isi
    441. Darko Mitrovic, “New entropy conditions for scalar conservation laws with discontinuous flux”, DCDS-A, 30:4 (2011), 1191  crossref  mathscinet  zmath  isi
    442. Guodong Wang, “An Engquist–Osher type finite difference scheme with a discontinuous flux function in space”, Journal of Computational and Applied Mathematics, 235:17 (2011), 4966–4977  crossref  mathscinet  zmath  isi
    443. João Paulo Dias, Mário Figueira, Hermano Frid, “Vanishing viscosity with short wave–long wave interactions for multi-D scalar conservation laws”, Journal of Differential Equations, 251:3 (2011), 492–503  crossref  mathscinet  zmath  isi
    444. Paulo Amorim, Philippe G. LeFloch, Wladimir Neves, “A geometric approach to error estimates for conservation laws posed on a spacetime”, Nonlinear Analysis: Theory, Methods & Applications, 74:15 (2011), 4898–4917  crossref  mathscinet  zmath  isi
    445. P. V. Lysuho, E. Yu. Panov, “Renormalized entropy solutions to the Cauchy problem for first order quasilinear conservation laws in the class of periodic functions”, J. Math. Sci., 177:1 (2011), 27–49  crossref  mathscinet  zmath  elib
    446. V. Caselles, “On the entropy conditions for some flux limited diffusion equations”, Journal of Differential Equations, 250:8 (2011), 3311  crossref  mathscinet  zmath  isi
    447. N. V. Chemetov, L. K. Arruda, “$L_p$-solvability of a full superconductive model”, Nonlinear Analysis: Real World Applications, 12:4 (2011), 2118–2129  crossref  mathscinet  zmath  isi
    448. Vicent Caselles, “An existence and uniqueness result for flux limited diffusion equations”, DCDS-A, 31:4 (2011), 1151  crossref  mathscinet  zmath  isi
    449. Huijiang Zhao, “Existence and uniqueness of the global admissible solution for a viscoelastic model with relaxation”, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 126:05 (2011), 1113  crossref  mathscinet
    450. Jörg Härterich, “Heteroclinic orbits between rotating waves in hyperbolic balance laws”, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 129:03 (2011), 519  crossref  mathscinet
    451. Adrian T. Hill, Endre Süli, “Dynamics of a nonlinear convection-diffusion equation in multidimensional bounded domains”, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 125:02 (2011), 439  crossref  mathscinet
    452. Pierangelo Marcati, Roberto Natalini, “Weak solutions to a hydrodynamic model for semiconductors: the Cauchy problem”, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 125:01 (2011), 115  crossref  mathscinet
    453. G.M. Coclite, M.M. Coclite, “Conservation laws with singular nonlocal sources”, Journal of Differential Equations, 250:10 (2011), 3831  crossref  mathscinet  zmath  isi
    454. Marco Di Francesco, Peter A. Markowich, Jan-Frederik Pietschmann, Marie-Therese Wolfram, “On the Hughes' model for pedestrian flow: The one-dimensional case”, Journal of Differential Equations, 250:3 (2011), 1334  crossref  mathscinet  zmath  isi
    455. Danilov V.G., Mitrovic D., “Shock Wave Formation Process for a Multidimensional Scalar Conservation Law”, Quart Appl. Math., 69:4 (2011), 613–634  crossref  mathscinet  zmath  isi  elib
    456. Jimenez J., “Mathematical analysis of a scalar multidimensional conservation law with discontinuous flux”, J. Evol. Equ., 11:3 (2011), 553–576  crossref  mathscinet  zmath  isi  elib
    457. Panov E.Yu., “On the Dirichlet Problem for First Order Quasilinear Equations on a Manifold”, Trans. Amer. Math. Soc., 363:5 (2011), 2393–2446  crossref  mathscinet  zmath  isi  elib
    458. Barbara Lee Keyfitz, “Singular shocks: retrospective and prospective”, Confluentes Math., 03:03 (2011), 445–470  crossref  mathscinet
    459. Lysukho P.V., Panov E.Yu., “O suschestvovanii i edinstvennosti neogranichennykh entropiinykh reshenii zadachi koshi dlya kvazilineinykh zakonov sokhraneniya pervogo poryadka”, Differentsialnye uravneniya, 47:1 (2011), 103–111  mathscinet  zmath  elib
    460. Mitrovic D., Ivec I., “A Generalization of H-Measures and Application on Purely Fractional Scalar Conservation Laws”, Commun. Pure Appl. Anal., 10:6 (2011), 1617–1627  crossref  mathscinet  zmath  isi  elib
    461. Theodoros Katsaounis, Chiara Simeoni, “Three-points interfacial quadrature for geometrical source terms on nonuniform grids”, Calcolo, 49:3 (2012), 149–176  crossref  mathscinet  zmath  isi
    462. C. Bahadoran, “Hydrodynamics and Hydrostatics for a Class of Asymmetric Particle Systems with Open Boundaries”, Commun. Math. Phys, 310:1 (2012), 1–24  crossref  mathscinet  zmath  adsnasa  isi  elib
    463. Debora Amadori, M. Di Francesco, “The one-dimensional Hughes model for pedestrian flow: Riemann-type solutions”, Acta Mathematica Scientia, 32:1 (2012), 259  crossref  mathscinet  zmath
    464. Yachun Li, Qin Wang, “Homogeneous Dirichlet problems for quasilinear anisotropic degenerate parabolic–hyperbolic equations”, Journal of Differential Equations, 252:9 (2012), 4719–4741  crossref  mathscinet  zmath  isi
    465. Gui-Qiang Chen, Qian Ding, Kenneth H. Karlsen, “On Nonlinear Stochastic Balance Laws”, Arch Rational Mech Anal, 204:3 (2012), 707–743  crossref  mathscinet  zmath  adsnasa  isi
    466. Chun Shen, Meina Sun, “The Bifurcation Phenomenon for Scalar Conservation Laws with Discontinuous Flux Functions”, Acta Appl. Math., 121:1 (2012), 69–80  crossref  mathscinet  zmath  isi
    467. Nathaël Alibaud, Simone Cifani, Espen R. Jakobsen, “Continuous Dependence Estimates for Nonlinear Fractional Convection-diffusion Equations”, SIAM J. Math. Anal, 44:2 (2012), 603  crossref  mathscinet  zmath  isi
    468. Ionel Sorin Ciuperca, Arnaud Heibig, Liviu Iulian Palade, “Existence and uniqueness results for the Doi–Edwards polymer melt model: the case of the (full) nonlinear configurational probability density equation”, Nonlinearity, 25:4 (2012), 991  crossref  mathscinet  zmath  isi
    469. Svenn Tveit, Ivar Aavatsmark, “Errors in the upstream mobility scheme for countercurrent two-phase flow in heterogeneous porous media”, Comput. Geosci., 16:3 (2012), 809–825  crossref  isi
    470. Beixiang Fang, Pingfan Tang, Ya-Guang Wang, “The Riemann problem of the Burgers equation with a discontinuous source term”, Journal of Mathematical Analysis and Applications, 395:1 (2012), 307–335  crossref  mathscinet  zmath  isi
    471. N. Besse, “Global weak solutions for the relativistic waterbag continuum”, Math. Models Methods Appl. Sci., 22:01 (2012), 1150001, 43 pp.  crossref  mathscinet  zmath  isi  elib
    472. Wang Zhigang, Li Yachun, “The homogeneous Dirichlet problem for quasilinear anisotropic degenerate parabolic-hyperbolic equation with Lp initial value”, Acta Mathematica Scientia, 32:5 (2012), 1727  crossref  mathscinet  zmath
    473. M. Alfaro, J. Droniou, “General Fractal Conservation Laws Arising from a Model of Detonations in Gases”, Applied Mathematics Research Express, 2012:2 (2012), 127–151  crossref  mathscinet  zmath
    474. Zhigang Wang, Yachun Li, “Applications of the kinetic formulation for scalar conservation laws with a zero-flux type boundary condition”, Chin. Ann. Math. Ser. B, 33:3 (2012), 351  crossref  mathscinet  zmath  isi
    475. Xiang Chen, “Lipschitz continuous solutions to the Cauchy problem for quasi-linear hyperbolic systems”, Chin. Ann. Math. Ser. B, 33:4 (2012), 521  crossref  mathscinet  zmath  isi
    476. Zhigang Wang, Lei Wang, Yachun Li, “Renormalized entropy solutions for degenerate parabolic-hyperbolic equations with time-space dependent coefficients”, CPAA, 12:3 (2012), 1163  crossref  mathscinet  isi
    477. Masashi Ohnawa, “Convergence rates towards the traveling waves for a model system of radiating gas with discontinuities”, KRM, 5:4 (2012), 857  crossref  mathscinet  zmath  isi
    478. I. V. Kuznetsov, “Entropy Solutions of Differential Equations with Variable Parabolicity Direction”, J. Math. Sci., 202:1 (2014), 91–112  mathnet  crossref
    479. Paulo Amorim, “On a nonlocal hyperbolic conservation law arising from a gradient constraint problem”, Bull. Braz. Math. Soc., New Series, 43:4 (2012), 599  crossref  mathscinet  zmath  isi
    480. B.H. Gilding, R. Kersner, “Wavefront solutions of a nonlinear telegraph equation”, Journal of Differential Equations, 254:2 (2013), 599–636  crossref  mathscinet  zmath  isi
    481. Fethi Ben Belgacem, Pierre-Emmanuel Jabin, “Compactness for nonlinear continuity equations”, Journal of Functional Analysis, 264:1 (2013), 139–168  crossref  mathscinet  zmath  isi
    482. Peipei Shang, “Cauchy problem for multiscale conservation laws: Application to structured cell populations”, Journal of Mathematical Analysis and Applications, 401:2 (2013), 896–920  crossref  mathscinet  zmath  isi
    483. N. V. Chemetov, F. Cipriano, “The Inviscid Limit for the Navier–Stokes Equations with Slip Condition on Permeable Walls”, J. Nonlinear Sci., 23:5 (2013), 731–750  crossref  mathscinet  zmath  isi
    484. Chun Shen, Meina Sun, “Wave interactions and stability of the Riemann solutions for a scalar conservation law with a discontinuous flux function”, Z. Angew. Math. Phys, 64:4 (2013), 1025–1056  crossref  mathscinet  zmath  isi
    485. Boris Andreianov, Mohamed Karimou Gazibo, “Entropy formulation of degenerate parabolic equation with zero-flux boundary condition”, Z. Angew. Math. Phys., 64:5 (2013), 1471–1491  crossref  mathscinet  zmath  isi
    486. Andreianov B., Cances C., “Vanishing Capillarity Solutions of Buckley-Leverett Equation with Gravity in Two-Rocks' Medium”, Comput. Geosci., 17:3 (2013), 551–572  crossref  mathscinet  zmath  isi  elib
    487. Hermano Frid, Jean Silva, “Homogenization of degenerate porous medium type equations in ergodic algebras”, Advances in Mathematics, 246 (2013), 303  crossref  mathscinet  zmath  isi
    488. J. Calvo, V. Caselles, “Local-in-time regularity results for some flux-limited diffusion equations of porous media type”, Nonlinear Analysis: Theory, Methods & Applications, 93 (2013), 236  crossref  mathscinet  zmath  isi
    489. Silvia Jerez, “Monotone first-order weighted schemes for scalar conservation laws”, Numer. Methods Partial Differential Equations, 29:6 (2013), 2133–2145  crossref  mathscinet  zmath  isi
    490. P. I. Kogut, R. Manzo, “On Vector-Valued Approximation of State Constrained Optimal Control Problems for Nonlinear Hyperbolic Conservation Laws”, J. Dyn. Control Syst., 19:3 (2013), 381–404  crossref  mathscinet  zmath  isi
    491. Adama Ouédraogo, Jean Dieu Zabsonré, “Continuous Dependence of Renormalized Solution for Nonlinear Degenerate Parabolic Problems in the Whole Space”, Mediterr. J. Math., 2013  crossref  mathscinet  isi
    492. Shaoyong Lai, “Global weak solutions to the Novikov equation”, Journal of Functional Analysis, 265:4 (2013), 520–544  crossref  mathscinet  zmath  isi
    493. C.M.. Dafermos, “Long Time Behavior of Periodic Solutions to Scalar Conservation Laws in Several Space Dimensions”, SIAM J. Math. Anal., 45:4 (2013), 2064  crossref  mathscinet  zmath  isi
    494. Nicola Gigli, Felix Otto, “Entropic Burgers' equation via a minimizing movement scheme based on the Wasserstein metric”, Calc. Var, 47:1-2 (2013), 181  crossref  mathscinet  zmath  isi
    495. E. Yu. Panov, “Renormalized entropy solutions of the Cauchy problem for a first-order inhomogeneous quasilinear equation”, Sb. Math., 204:10 (2013), 1480–1515  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    496. Shaoyong Lai, Nan Li, Sheng Fan, “The entropy weak solution to a generalized Degasperis–Procesi equation”, J Inequal Appl, 2013:1 (2013), 409  crossref  mathscinet  zmath
    497. V. A. Korneev, “Construction of generalized solution for first order divergence type equation”, Ufa Math. J., 5:3 (2013), 77–93  mathnet  crossref  elib
    498. Koley U., Risebro N.H., “Finite Difference Schemes for the Symmetric Keyfitz-Kranzer System”, Z. Angew. Math. Phys., 64:4 (2013), 1057–1085  crossref  mathscinet  zmath  isi
    499. Panov E.Yu., “On Decay of Periodic Entropy Solutions to a Scalar Conservation Law”, Ann. Inst. Henri Poincare-Anal. Non Lineaire, 30:6 (2013), 997–1007  crossref  mathscinet  zmath  isi  elib
    500. Meng Wu, Chong Lai, “The Uniqueness of Strong Solutions for the Camassa-Holm Equation”, Journal of Function Spaces and Applications, 2013 (2013), 409760, 7 pp.  crossref  mathscinet  zmath  isi
    501. Jin Bo, Su Ning, “Existence and uniqueness of solutions of reaction-convection equations with non-Lipschitz nonlinearity”, Journal of Mathematical Analysis and Applications, 410:1 (2014), 267–274  crossref  mathscinet  zmath  isi
    502. F. Kissling, K.H. Karlsen, “On the singular limit of a two-phase flow equation with heterogeneities and dynamic capillary pressure”, Z. Angew. Math. Mech., 94:7-8 (2014), 678–689  crossref  mathscinet  zmath  isi
    503. Caroline Bauzet, Guy Vallet, Petra Wittbold, “The Dirichlet problem for a conservation law with a multiplicative stochastic perturbation”, Journal of Functional Analysis, 11:3 (2014), 873–880  crossref  mathscinet  isi
    504. Marco Di Francesco, Daniel Matthes, “Curves of steepest descent are entropy solutions for a class of degenerate convection–diffusion equations”, Calc. Var., 50:1-2 (2014), 199–230  crossref  mathscinet  zmath  isi
    505. Heiko Berninger, Mario Ohlberger, Oliver Sander, Kathrin Smetana, “Unsaturated subsurface flow with surface water and nonlinear in- and outflow conditions”, Math. Models Methods Appl. Sci., 24:5 (2014), 901  crossref  mathscinet  zmath  isi
    506. Shaoyong Lai, Aiyin Wang, “The $L^1$ stability of strong solutions to a generalized BBM equation”, J. Inequal. Appl., 2014:1 (2014), 3  crossref  mathscinet  isi
    507. B. Graille, “Approximation of mono-dimensional hyperbolic systems: A lattice Boltzmann scheme as a relaxation method”, Journal of Computational Physics, 266 (2014), 74  crossref  mathscinet  zmath  isi
    508. De-Xing Kong, Changhua Wei, “Formation and propagation of singularities in one-dimensional Chaplygin gas”, Journal of Geometry and Physics, 80 (2014), 58–70  crossref  mathscinet  zmath  isi
    509. R.G.abriel Iagar, Ariel Sánchez, “Large time behavior for a porous medium equation in a nonhomogeneous medium with critical density”, Nonlinear Analysis: Theory, Methods & Applications, 102 (2014), 226  crossref  mathscinet  isi
    510. Haibo Yan, Ls Yong, Hanlei Hu, “On the Stability to a Generalized Degasperis–Procesi Equation”, Abstract and Applied Analysis, 2014 (2014), 121489, 6 pp.  crossref  mathscinet  zmath  isi
    511. Haibo Yan, Ls Yong, “The Local Stability of Solutions for a Nonlinear Equation”, Abstract and Applied Analysis, 2014 (2014), 781813, 6 pp.  crossref  mathscinet  zmath  isi
    512. Stefano Bianchini, Stefano Modena, “On a quadratic functional for scalar conservation laws”, J. Hyper. Differential Equations, 11:02 (2014), 355  crossref  mathscinet  zmath  isi
    513. Alberto Bressan, Wen Shen, “A semigroup approach to an integro-differential equation modeling slow erosion”, Journal of Differential Equations, 257:7 (2014), 2360–2403  crossref  mathscinet  zmath  isi
    514. K.S. Surana, K.P.J. Reddy, A.D. Joy, J.N. Reddy, “Riemann shock tube: 1D normal shocks in air, simulations and experiments”, International Journal of Computational Fluid Dynamics, 28:6-10 (2014), 251–271  crossref  mathscinet
    515. Masashi Ohnawa, “$L^\infty$-Stability of Continuous Shock Waves in a Radiating Gas Model”, SIAM J. Math. Anal, 46:3 (2014), 2136  crossref  mathscinet  zmath  isi
    516. Alberto Bressan, Kh.T.. Nguyen, “Global Existence of Weak Solutions for the Burgers–Hilbert Equation”, SIAM J. Math. Anal, 46:4 (2014), 2884  crossref  mathscinet  zmath  isi
    517. Silvia Jerez, Mario Arciga, “Switch flux limiter method for viscous and nonviscous conservation laws”, Applied Mathematics and Computation, 246 (2014), 292  crossref  mathscinet  zmath
    518. Boris Andreianov, Darko Mitrović, “Entropy conditions for scalar conservation laws with discontinuous flux revisited”, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, 2014  crossref  mathscinet
    519. Shaoyong Lai, Haibo Yan, Hongjing Chen, Yang Wang, “The stability of local strong solutions for a shallow water equation”, J. Inequal. Appl., 2014:1 (2014), 410  crossref  mathscinet  zmath
    520. I. V. Kuznetsov, “Strong Traces for Entropy Solutions of Second Order Differential Forward-Backward Parabolic Equations”, J. Math. Sci., 211:6 (2015), 767–788  mathnet  crossref
    521. G.M. Coclite, K.H. Karlsen, “Periodic solutions of the Degasperis–Procesi equation: Well-posedness and asymptotics”, Journal of Functional Analysis, 2014  crossref  mathscinet
    522. Miquel Oliu-Barton, “Differential Games with Asymmetric and Correlated Information”, Dyn. Games Appl., 2014  crossref  mathscinet
    523. Aníbal Coronel, Patricio Cumsille, Mauricio Sepúlveda, “Convergence of a level-set algorithm in scalar conservation laws”, Numer. Methods Partial Differential Eq., 2014  crossref  mathscinet
    524. Ting Zhang, Chun Shen, “The shock wave solution to the Riemann problem for the Burgers equation with the linear forcing term”, Applicable Analysis, 2015, 1  crossref  mathscinet
    525. Huashui Zhan, “Homogeneous Dirichlet condition of an anisotropic degenerate parabolic equation”, Bound Value Probl, 2015:1 (2015)  crossref  mathscinet
    526. G.A.. Bonaschi, José A. Carrillo, Marco Di Francesco, M.A.. Peletier, “Equivalence of gradient flows and entropy solutions for singular nonlocal interaction equations in 1D”, ESAIM: COCV, 21:2 (2015), 414  crossref  mathscinet  zmath
    527. Sebastien Blandin, Paola Goatin, “Well-posedness of a conservation law with non-local flux arising in traffic flow modeling”, Numer. Math, 2015  crossref  mathscinet
    528. E. Yu. Panov, “Stabilization Property of Periodic Generalized Entropy Solutions to Quasilinear First Order Equations”, J Math Sci, 2015  crossref  mathscinet
    529. Sebastian Pfaff, Stefan Ulbrich, “Optimal Boundary Control of Nonlinear Hyperbolic Conservation Laws with Switched Boundary Data”, SIAM J. Control Optim, 53:3 (2015), 1250  crossref  mathscinet  zmath
    530. H. Zakerzadeh, U. S. Fjordholm, “High-order accurate, fully discrete entropy stable schemes for scalar conservation laws”, IMA Journal of Numerical Analysis, 2015  crossref  mathscinet
    531. Ph.G.. LeFloch, Jean-Marc Mercier, “Revisiting the method of characteristics via a convex hull algorithm”, Journal of Computational Physics, 2015  crossref  mathscinet
    532. Wentao CAO, Feimin Huang, “On the convergence rate of a class of reaction hyperbolic systems for axonal transport”, Acta Mathematica Scientia, 35:4 (2015), 945  crossref  mathscinet  zmath
    533. Juan Calvo, “Analysis of a Class of Degenerate Parabolic Equations with Saturation Mechanisms”, SIAM J. Math. Anal, 47:4 (2015), 2917  crossref  mathscinet  zmath
    534. Yu. G. Rykov, O. B. Feodoritova, “Systems of quasilinear conservation laws and algorithmization of variational principles”, Comput. Math. Math. Phys., 55:9 (2015), 1554–1566  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    535. Andreianov B., Donadello C., Ghoshal Sh.S., Razafison U., “on the Attainable Set For a Class of Triangular Systems of Conservation Laws”, J. Evol. Equ., 15:3 (2015), 503–532  crossref  mathscinet  zmath  isi
    536. Galaktionov V., Mitidieri E., Pohozaev S., “Blow-Up For Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations”, Blow-Up For Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations, Monographs and Research Notes in Mathematics, Crc Press-Taylor & Francis Group, 2015, 1–543  mathscinet  zmath  isi
    537. GuoFu Lu, Liang Jiang, “A remark on removable singularity for nonlinear convection–diffusion equation”, Nonlinear Analysis: Real World Applications, 27 (2016), 1  crossref  mathscinet  zmath
    538. È. R. Andriyanova, F. Kh. Mukminov, “Existence and qualitative properties of a solution of the first mixed problem for a parabolic equation with non-power-law double nonlinearity”, Sb. Math., 207:1 (2016), 1–40  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    539. E. Yu. Panov, “Long Time Asymptotics of Periodic Generalized Entropy Solutions of Scalar Conservation Laws”, Math. Notes, 100:1 (2016), 113–122  mathnet  crossref  crossref  mathscinet  isi  elib
    540. F. Kh. Mukminov, “Uniqueness of the renormalized solutions to the Cauchy problem for an anisotropic parabolic equation”, Ufa Math. J., 8:2 (2016), 44–57  mathnet  crossref  isi  elib
    541. I. V. Kuznetsov, “Kinetic formulation of forward-backward parabolic equations”, Sib. elektron. matem. izv., 13 (2016), 930–949  mathnet  crossref
    542. Panov E.Yu., “On the Cauchy problem for scalar conservation laws in the class of Besicovitch almost periodic functions: Global well-posedness and decay property”, J. Hyberbolic Differ. Equ., 13:3 (2016), 633–659  crossref  mathscinet  zmath  isi  scopus
    543. Panov E.Yu., “on a Condition of Strong Precompactness and the Decay of Periodic Entropy Solutions To Scalar Conservation Laws”, Netw. Heterog. Media, 11:2, SI (2016), 349–367  crossref  mathscinet  zmath  isi
    544. V. A. Galkin, A. O. Dubovik, A. A. Epifanov, “Approximate methods for equations of incompressible fluid”, Comput. Math. Math. Phys., 57:2 (2017), 272–280  mathnet  crossref  crossref  isi  elib
    545. F. Kh. Mukminov, “Uniqueness of the renormalized solution of an elliptic-parabolic problem in anisotropic Sobolev-Orlicz spaces”, Sb. Math., 208:8 (2017), 1187–1206  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    546. E. Yu. Panov, “The Cauchy problem for a first-order quasilinear equation in the class of Besicovitch almost periodic functions”, Sb. Math., 208:8 (2017), 1207–1224  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    547. S. N. Antontsev, I. V. Kuznetsov, “Existence of entropy measure-valued solutions for forward-backward $p$-parabolic equations”, Sib. elektron. matem. izv., 14 (2017), 774–793  mathnet  crossref
    548. L. M. Kozhevnikova, “Ob entropiinykh resheniyakh anizotropnykh ellipticheskikh uravnenii s peremennymi pokazatelyami nelineinostei v neogranichennykh oblastyakh”, Differentsialnye i funktsionalno-differentsialnye uravneniya, SMFN, 63, no. 3, Rossiiskii universitet druzhby narodov, M., 2017, 475–493  mathnet  crossref
    549. V. F. Vildanova, F. Kh. Mukminov, “Suschestvovanie slabogo resheniya integro-differentsialnogo uravneniya agregatsii”, Differentsialnye i funktsionalno-differentsialnye uravneniya, SMFN, 63, no. 4, Rossiiskii universitet druzhby narodov, M., 2017, 557–572  mathnet  crossref
    550. L. V. Gargyants, “On Locally Bounded Solutions of the Cauchy Problem for a First-Order Quasilinear Equation with Power Flux Function”, Math. Notes, 104:2 (2018), 210–217  mathnet  crossref  crossref  mathscinet  isi  elib
    551. Yu. G. Rykov, “On the variational approach to systems of quasilinear conservation laws”, Proc. Steklov Inst. Math., 301 (2018), 213–227  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    552. L. M. Kozhevnikova, “Entropy and renormalized solutions of anisotropic elliptic equations with variable nonlinearity exponents”, Sb. Math., 210:3 (2019), 417–446  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    553. N. A. Vorobev, F. Kh. Mukminov, “Suschestvovanie renormalizovannogo resheniya parabolicheskoi zadachi v anizotropnykh prostranstvakh Soboleva—Orlicha”, Differentsialnye uravneniya, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 163, VINITI RAN, M., 2019, 39–64  mathnet  mathscinet
    554. F. Kh. Mukminov, “Existence of a Renormalized Solution to an Anisotropic Parabolic Problem for an Equation with Diffuse Measure”, Proc. Steklov Inst. Math., 306 (2019), 178–195  mathnet  crossref  crossref  mathscinet  isi  elib
    555. A. Yu. Goritsky, L. V. Gargyants, “Nonuniqueness of unbounded solutions of the Cauchy problem for scalar conservation laws”, J. Math. Sci. (N. Y.), 244:2 (2020), 183–197  mathnet  crossref  elib
    556. Ancona F. Glass O. Nguyen Kh.T., “On Kolmogorov Entropy Compactness Estimates For Scalar Conservation Laws Without Uniform Convexity”, SIAM J. Math. Anal., 51:4 (2019), 3020–3051  crossref  mathscinet  zmath  isi
    557. Kozhevnikova L. M., “On Solutions of Anisotropic Elliptic Equations With Variable Exponent and Measure Data”, Complex Var. Elliptic Equ., 65:3 (2020), 333–367  crossref  mathscinet  zmath  isi
    558. L. M. Kozhevnikova, “Renormalized solutions of elliptic equations with variable exponents and general measure data”, Sb. Math., 211:12 (2020), 1737–1776  mathnet  crossref  crossref  mathscinet  isi
    559. E. Yu. Panov, “K teorii entropiinykh reshenii nelineinykh vyrozhdayuschikhsya parabolicheskikh uravnenii”, Trudy Krymskoi osennei matematicheskoi shkoly-simpoziuma, SMFN, 66, no. 2, Rossiiskii universitet druzhby narodov, M., 2020, 292–313  mathnet  crossref
    560. Panov E.Yu., “On Some Properties of Entropy Solutions of Degenerate Non-Linear Anisotropic Parabolic Equations”, J. Differ. Equ., 275 (2021), 139–166  crossref  isi
    561. L. V. Gargyants, A. Yu. Goritsky, E. Yu. Panov, “Constructing unbounded discontinuous solutions of scalar conservation laws using the Legendre transform”, Sb. Math., 212:4 (2021), 475–489  mathnet  crossref  crossref  isi
  • Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics (from 1967)
    Number of views:
    This page:5089
    Full text:1453
    References:144
    First page:5

     
    Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2021