RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
General information
Latest issue
Archive
Impact factor
Subscription
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Uspekhi Mat. Nauk:
Year:
Volume:
Issue:
Page:
Find






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


Uspekhi Mat. Nauk, 1988, Volume 43, Issue 5(263), Pages 55–98 (Mi umn1969)  

This article is cited in 118 scientific papers (total in 120 papers)

Boundary-value problems for the system of elasticity theory in unbounded domains. Korn's inequalities

V. A. Kondrat'ev, O. A. Oleinik


Full text: PDF file (2291 kB)
References: PDF file   HTML file

English version:
Russian Mathematical Surveys, 1988, 43:5, 65–119

Bibliographic databases:

UDC: 517.9
MSC: 35J25, 35A05, 35N15
Received: 05.06.1988

Citation: V. A. Kondrat'ev, O. A. Oleinik, “Boundary-value problems for the system of elasticity theory in unbounded domains. Korn's inequalities”, Uspekhi Mat. Nauk, 43:5(263) (1988), 55–98; Russian Math. Surveys, 43:5 (1988), 65–119

Citation in format AMSBIB
\Bibitem{KonOle88}
\by V.~A.~Kondrat'ev, O.~A.~Oleinik
\paper Boundary-value problems for the system of elasticity theory in unbounded domains. Korn's inequalities
\jour Uspekhi Mat. Nauk
\yr 1988
\vol 43
\issue 5(263)
\pages 55--98
\mathnet{http://mi.mathnet.ru/umn1969}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=971465}
\zmath{https://zbmath.org/?q=an:0669.73005|0661.73001}
\transl
\jour Russian Math. Surveys
\yr 1988
\vol 43
\issue 5
\pages 65--119
\crossref{https://doi.org/10.1070/RM1988v043n05ABEH001945}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1988AN96100003}


Linking options:
  • http://mi.mathnet.ru/eng/umn1969
  • http://mi.mathnet.ru/eng/umn/v43/i5/p55

    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. V. A. Kondrat'ev, O. A. Oleinik, “On the dependence of the constant in Korn's inequality on parameters characterizing the geometry of the region”, Russian Math. Surveys, 44:6 (1989), 187–189  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    2. T. V. Mikhailova, “The mixed boundary-value problem for a system of elasticity theory in unbounded domains”, Russian Math. Surveys, 46:4 (1991), 188–189  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    3. V. N. Samokhin, “Existence of a solution of a modification of a system of equations of magnetohydrodynamics”, Math. USSR-Sb., 72:2 (1992), 373–385  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    4. K. Bhattacharya, “Comparison of the geometrically nonlinear and linear theories of martensitic transformation”, Continuum Mech Thermodyn, 5:3 (1993), 205  crossref  mathscinet  zmath  adsnasa  isi
    5. H. Matevossian, “On the uniqueness of solutions of the first boundary-value problem in elasticity theory for unbounded domains”, Russian Math. Surveys, 48:6 (1993), 169–170  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    6. H. Matevossian, “Uniqueness of solutions of boundary-value problems for a system of elasticity theory in a half-space”, Russian Math. Surveys, 49:4 (1994), 169–170  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    7. Eric Blavier, Andro Mikelić, “On the stationary quasi-Newtonian flow obeying a power-law”, Math Meth Appl Sci, 18:12 (1995), 927  crossref  mathscinet  zmath  isi
    8. C. O. Horgan, “Korn’s Inequalities and Their Applications in Continuum Mechanics”, SIAM Rev, 37:4 (1995), 491  crossref  mathscinet  zmath  isi
    9. N. S. Bakhvalov, S. P. Novikov, A. T. Fomenko, “Ol'ga Arsen'evna Oleinik (on her seventieth birthday)”, Russian Math. Surveys, 50:4 (1995), 837–848  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    10. S. A. Nazarov, “Inequalities of the type of root inequalities for elastic multistructures”, Russian Math. Surveys, 50:6 (1995), 1288–1289  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    11. Fouad Boughanim, Roland Tapiéro, “Derivation of the two-dimensional carreau law for a quasi-newtonian fluid flow through a thin slab”, Applicable Analysis, 57:3-4 (1995), 243  crossref
    12. Serguei A. Nazarov, “Korn's Inequalities for Junctions of Spatial Bodies and Thin Rods”, Math Meth Appl Sci, 20:3 (1997), 219  crossref  mathscinet  zmath  isi  elib
    13. S. A. Nazarov, M. V. Olyushin, “Approximation of smooth contours by polygonal ones. Paradoxes in problems for the Lame system”, Izv. Math., 61:3 (1997), 619–646  mathnet  crossref  crossref  mathscinet  zmath  isi
    14. S. A. Nazarov, “Weighted Korn inequalities in paraboloidal domains”, Math. Notes, 62:5 (1997), 629–641  mathnet  crossref  crossref  mathscinet  zmath  isi
    15. A. Borrelli, M.C. Patria, “Decay and other estimates for a semi-infinite magnetoelastic cylinder: Saint-Venant's principle”, International Journal of Non-Linear Mechanics, 32:6 (1997), 1087  crossref
    16. S. A. Nazarov, A. S. Slutskij, “Asymptotic behaviour of solutions of boundary-value problems for equations with rapidly oscillating coefficients in a domain with a small cavity”, Sb. Math., 189:9 (1998), 1385–1422  mathnet  crossref  crossref  mathscinet  zmath  isi
    17. S. A. Nazarov, “The polynomial property of self-adjoint elliptic boundary-value problems and an algebraic description of their attributes”, Russian Math. Surveys, 54:5 (1999), 947–1014  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    18. Hiroya Ito, “Optimal Korn’s inequalities for divergence-free vector fields with application to incompressible linear elastodynamics”, Japan J. Indust. Appl. Math, 16:1 (1999), 101  crossref
    19. I. V. Kamotskii, S. A. Nazarov, “On eigenfunctions localized in a neighborhood of the lateral surface of a thin domain”, Journal of Mathematical Sciences (New York), 101:2 (2000), 2941  crossref  mathscinet  zmath
    20. S. A. Nazarov, “Minimal requirements on the smoothness of data preserving accuracy of a one-dimensional model of rods”, Journal of Mathematical Sciences (New York), 101:2 (2000), 2987  crossref  mathscinet  elib
    21. I. I. Agratov, S. A. Nazarov, “Asymptotic analysis of problems in junctions of domains of different limit dimension. An elastic body pierced by thin rods”, Journal of Mathematical Sciences (New York), 102:5 (2000), 4349  crossref  mathscinet  zmath  elib
    22. S. A. Nazarov, A. S. Slutskii, “Saint-venant principle for paraboloidal elastic bodies”, Journal of Mathematical Sciences (New York), 98:6 (2000), 717  crossref  mathscinet  elib
    23. S. A. Nazarov, “Asymptotic analysis of an arbitrary anisotropic plate of variable thickness (sloping shell)”, Sb. Math., 191:7 (2000), 1075–1106  mathnet  crossref  crossref  mathscinet  zmath  isi
    24. S. A. Nazarov, A. S. Slutskij, “One-dimensional equations of deformation of thin slightly curved rods. Asymptotical analysis and justification”, Izv. Math., 64:3 (2000), 531–562  mathnet  crossref  crossref  mathscinet  zmath  isi
    25. R. O. Hryniv, S. Yu. Dobrokhotov, A. A. Shkalikov, “An operator model for the oscillation problem of liquids on an elastic bottom”, Math. Notes, 68:1 (2000), 57–70  mathnet  crossref  mathscinet  zmath  isi
    26. H. Matevossian, “Solutions of exterior boundary-value problems for the elasticity system in weighted spaces”, Sb. Math., 192:12 (2001), 1763–1798  mathnet  crossref  crossref  mathscinet  zmath  isi
    27. N. N. Romanovskii, “Coercive Estimates”, Math. Notes, 70:2 (2001), 283–287  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    28. H. Matevossian, “The Exterior Dirichlet Problem for the Biharmonic Equation: Solutions with Bounded Dirichlet Integral”, Math. Notes, 70:3 (2001), 363–377  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    29. E. Marušić-Paloka, “On the Stokes Paradox for Power-Law Fluids”, Z. angew. Math. Mech, 81:1 (2001), 31  crossref
    30. M. S. Agranovich, “Spectral problems for second-order strongly elliptic systems in smooth and non-smooth domains”, Russian Math. Surveys, 57:5 (2002), 847–920  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    31. G. A. Chechkin, E. A. Pichugina (Akimova), “On Weighted Korn's Inequality for a Thin Nonsymmetric Plate”, Proc. Steklov Inst. Math., 236 (2002), 334–340  mathnet  mathscinet  zmath
    32. G. Cardone, A. Corbo Esposito, V.V. Zhikov, “An Integral Representation Result for the Γ-Limit of Functionals with Non-standard Growth Conditions in the Case of Elasticity”, Applicable Analysis, 81:5 (2002), 1179  crossref
    33. Kewei Zhang, “Mountain Pass Solutions for a Double-Well Energy”, Journal of Differential Equations, 182:2 (2002), 490  crossref
    34. H. Matevossian, “A uniqueness criterion for solutions of the Robin problem for a system in elasticity theory in exterior domains”, Russian Math. Surveys, 58:2 (2003), 384–385  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    35. H. Matevossian, “Uniqueness of solution of the Robin problem for systems in the theory of elasticity in a half-space”, Russian Math. Surveys, 58:4 (2003), 791–793  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    36. H. Matevossian, “On solutions of mixed boundary-value problems for the elasticity system in unbounded domains”, Izv. Math., 67:5 (2003), 895–929  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    37. S. A. Nazarov, “Weighted anisotropic Korn's inequality for a junction of a plate and a rod”, Sb. Math., 195:4 (2004), 553–583  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    38. S. A. Nazarov, “Estimates for second order derivatives of eigenvectors in thin anisotropic plates with variable thickness”, J. Math. Sci. (N. Y.), 132:1 (2006), 91–102  mathnet  crossref  mathscinet  zmath  elib  elib
    39. N. N. Romanovskii, “Integral representations and embedding theorems for functions on the Hesenberg groups $\mathbb H^n$”, St. Petersburg Math. J., 16:2 (2005), 349–375  mathnet  crossref  mathscinet  zmath
    40. A. Yu. Kokotov, B. A. Plamenevskii, “Asymptotics of the solutions of the Neumann problem for hyperbolic systems in domains with conic points”, St. Petersburg Math. J., 16:3 (2005), 477–506  mathnet  crossref  mathscinet  zmath
    41. Kewei Zhang, “An approximation theorem for sequences of linear strains and its applications”, ESAIM: COCV, 10:2 (2004), 224  crossref
    42. A. Borrelli, M.C. Patria, E. Piras, “Spatial decay estimates in the problem of entry flow for a Bingham fluid filling a pipe”, Mathematical and Computer Modelling, 40:1-2 (2004), 23  crossref
    43. A. A. Kulikov, S. A. Nazarov, “Cracks in piezoelectric and electroconductive bodies”, J. Appl. Industr. Math., 1:2 (2007), 201–216  mathnet  crossref  mathscinet  elib
    44. S. A. Nazarov, “Korn's inequalities for junctions of elastic bodies with thin plates”, Siberian Math. J., 46:4 (2005), 695–706  mathnet  crossref  mathscinet  zmath  isi  elib
    45. S. I. Matyukevich, B. A. Plamenevskii, “Elastodynamics in domains with edges”, St. Petersburg Math. J., 18:3 (2007), 459–510  mathnet  crossref  mathscinet  zmath  elib
    46. Costabel, M, “Analysis of crack singularities in an aging elastic material”, ESAIM-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique et Analyse Numerique, 40:3 (2006), 553  crossref  mathscinet  zmath  isi  elib
    47. A. R. Bikmetov, “Asymptotics of eigenelements of boundary value problems for the Schrödinger operator with a large potential localized on a small set”, Comput. Math. Math. Phys., 46:4 (2006), 636–650  mathnet  crossref  mathscinet  zmath  elib  elib
    48. Agranovich M.S., “Strongly elliptic second order systems with spectral parameter in transmission conditions on a nonclosed surface”, Pseudo-Differential Operators and Related Topics, Operator Theory : Advances and Applications, 164, 2006, 1–21  crossref  isi
    49. Martin Steigemann, Markus Fulland, “On the computation of the pure Neumann problem in 2-dimensional elasticity”, Int J Fract, 146:4 (2007), 265  crossref  isi
    50. D. Gomez, S. A. Nazarov, M. E. Perez, “The formal asymptotics of eigenmodes for oscillating elastic spatial body with concentrated masses”, J. Math. Sci. (N. Y.), 148:5 (2008), 650–674  mathnet  crossref  mathscinet  zmath  elib  elib
    51. S. A. Nazarov, “The spectrum of the elasticity problem for a spiked body”, Siberian Math. J., 49:5 (2008), 874–893  mathnet  crossref  mathscinet  isi  elib  elib
    52. Kewei Zhang, “On coercivity and irregularity for some nonlinear degenerate elliptic systems”, Front Math China, 3:4 (2008), 599  crossref  mathscinet  zmath  isi  elib
    53. S. A. Nazarov, “Asymptotics of solutions and modelling the problems of elasticity theory in domains with rapidly oscillating boundaries”, Izv. Math., 72:3 (2008), 509–564  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    54. S. A. Nazarov, “Korn inequalities for elastic junctions of massive bodies, thin plates, and rods”, Russian Math. Surveys, 63:1 (2008), 35–107  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    55. Nazarov, SA, “A gap in the continuous spectrum of an elastic waveguide”, Comptes Rendus Mecanique, 336:10 (2008), 751  crossref  zmath  adsnasa  isi  elib
    56. Alexander Mielke, Adrien Petrov, João A.C. Martins, “Convergence of solutions of kinetic variational inequalities in the rate-independent quasi-static limit”, Journal of Mathematical Analysis and Applications, 348:2 (2008), 1012  crossref
    57. S. A. Nazarov, “Opening a gap in the essential spectrum of the elasticity problem in a periodic semi-layer”, St. Petersburg Math. J., 21:2 (2010), 281–307  mathnet  crossref  mathscinet  zmath  isi
    58. F. L. Bakharev, S. A. Nazarov, “On the structure of the spectrum for the elasticity problem in a body with a supersharp spike”, Siberian Math. J., 50:4 (2009), 587–595  mathnet  crossref  mathscinet  isi  elib  elib
    59. Alexander Mielke, Laetitia Paoli, Adrien Petrov, “On Existence and Approximation for a 3D Model of Thermally Induced Phase Transformations in Shape-Memory Alloys”, SIAM J Math Anal, 41:4 (2009), 1388  crossref  mathscinet  zmath  isi
    60. Cardone, G, “A criterion for the existence of the essential spectrum for beak-shaped elastic bodies”, Journal de Mathematiques Pures et Appliquees, 92:6 (2009), 628  crossref  mathscinet  zmath  isi  elib
    61. Cardone, G, “Gaps in the essential spectrum of periodic elastic waveguides”, Zamm-Zeitschrift fur Angewandte Mathematik und Mechanik, 89:9 (2009), 729  crossref  mathscinet  zmath  isi  elib
    62. Cardone, G, “Korn's inequality for periodic solids and convergence rate of homogenization”, Applicable Analysis, 88:6 (2009), 847  crossref  mathscinet  zmath  isi  elib
    63. S. A. Nazarov, “Gap detection in the spectrum of an elastic periodic waveguide with a free surface”, Comput. Math. Math. Phys., 49:2 (2009), 323–333  mathnet  crossref  mathscinet  zmath  isi  elib  elib
    64. Sheretov Yu.V., “O svoistvakh reshenii kvazigidrodinamicheskikh uravnenii v barotropnom priblizhenii”, Vestn. Tverskogo gos. un-ta. Ser.: Prikladnaya matematika, 2009, no. 14, 5–19  elib
    65. Cardone G., Nazarov S.A., Taskinen J., ““Absorption” effect for elastic waves by the beak-shaped boundary irregularity”, Dokl. Phys., 54:3 (2009), 146–150  mathnet  crossref  mathscinet  zmath  isi  elib  elib
    66. M. Thomas, A. Mielke, “Damage of nonlinearly elastic materials at small strain - Existence and regularity results -”, Z angew Math Mech, 90:2 (2010), 88  crossref  mathscinet  zmath  isi
    67. Nazarov, SA, “Essential spectrum of a periodic elastic waveguide may contain arbitrarily many gaps”, Applicable Analysis, 89:1 (2010), 109  crossref  mathscinet  zmath  isi  elib
    68. Kewei Zhang, “On Universal Coercivity in Linear Elasticity”, SIAM J Math Anal, 42:1 (2010), 298  crossref  mathscinet  isi
    69. A. Bikmetov, R. Gadyl’shin, “On quantum waveguide with shrinking potential”, Russ J Math Phys, 17:1 (2010), 19  crossref  mathscinet  zmath  isi  elib
    70. Nazarov S.A., “Gap in a Continuous Spectrum of an Elastic Waveguide with a Partly Clamped Surface”, Journal of Applied Mechanics and Technical Physics, 51:1 (2010), 114–124  crossref  mathscinet  adsnasa  isi  elib
    71. G. Cardone, S. A. Nazarov, J. Sokolowski, “Asymptotic Analysis, Polarization Matrices, and Topological Derivatives for Piezoelectric Materials with Small Voids”, SIAM J Control Optim, 48:6 (2010), 3925  crossref  mathscinet  isi
    72. Giovanni P. Galdi, Carlo R. Grisanti, “Existence and Regularity of Steady Flows for Shear-Thinning Liquids in Exterior Two-Dimensional”, Arch Rational Mech Anal, 2010  crossref
    73. Alexander Mielke, Laetitia Paoli, Adrien Petrov, Ulisse Stefanelli, “Error Estimates for Space-Time Discretizations of a Rate-Independent Variational Inequality”, SIAM J Numer Anal, 48:5 (2010), 1625  crossref
    74. Sergey A. Nazarov, Andrey S. Slutskij, Guido H. Sweers, “Korn Inequalities for a Reinforced Plate”, J Elast, 2010  crossref
    75. Nazarov S.A., “Gap in the essential spectrum of an elliptic formally self-adjoint system of differential equations”, Differential Equations, 46:5 (2010), 730–741  crossref  isi  elib
    76. Campbell A., Nazarov S.A., Sweers G.H., “Spectra of Two-Dimensional Models for Thin Plates With Sharp Edges”, SIAM J Math Anal, 42:6 (2010), 3020–3044  crossref  isi
    77. Nazarov S.A., Sokolowski J., “On asymptotic analysis of spectral problems in elasticity”, Latin American Journal of Solids and Structures, 8:1 (2011), 27–54  isi
    78. M. S. Agranovich, I. V. Astashova, L. A. Bagirov, V. V. Vlasov, V. V. Zhikov, Yu. S. Ilyashenko, V. V. Kozlov, A. A. Kon'kov, S. I. Pokhozhaev, E. V. Radkevich, N. Kh. Rozov, I. N. Sergeev, A. L. Skubachevskii, G. A. Chechkin, A. S. Shamaev, T. A. Shaposhnikova, “Vladimir Alexandrovich Kondratiev. July 2, 1935 – March 11, 2010”, Journal of Mathematical Sciences, 190:1 (2013), 1–7  mathnet  crossref  mathscinet
    79. S. A. Nazarov, G. H. Sweers, A. S. Slutskij, “Homogenization of a thin plate reinforced with periodic families of rigid rods”, Sb. Math., 202:8 (2011), 1127–1168  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    80. Laetitia Paoli, Adrien Petrov, “Global existence result for thermoviscoelastic problems with hysteresis”, Nonlinear Analysis: Real World Applications, 2011  crossref
    81. Athanasiadis C.E., Natroshvili D., Sevroglou V., Stratis I.G., “A Boundary Integral Equations Approach for Mixed Impedance Problems in Elasticity”, Journal of Integral Equations and Applications, 23:2 (2011), 183–222  crossref  isi
    82. Nazarov S.A., “Localized elastic fields in periodic waveguides with defects”, Journal of Applied Mechanics and Technical Physics, 52:2 (2011), 311–320  isi
    83. Nazarov S.A., “Lokalizovannye uprugie polya v periodicheskikh volnovodakh s defektami”, Prikladnaya mekhanika i tekhnicheskaya fizika, 52:2 (2011), 183–194  elib
    84. S. A. Nazarov, “Notes to the proof of a weighted Korn inequality for an elastic body with peak-shaped cusps”, J Math Sci, 2012  crossref
    85. Laetitia Paoli, Adrien Petrov, “Thermodynamics of multiphase problems in viscoelasticity”, GAMM-Mitteilungen, 35:1 (2012), 75  crossref
    86. G. Leugering, S. Nazarov, F. Schury, M. Stingl, “The Eshelby Theorem and Application to the Optimization of an Elastic Patch”, SIAM J. Appl. Math, 72:2 (2012), 512  crossref
    87. A. V. Rukavishnikov, “Ob otsenke tochnosti dlya odnoi zadachi gidrodinamiki s razryvnymi koeffitsientami v norme prostranstva $\mathbf L_2(\Omega_h)$”, Sib. zhurn. industr. matem., 15:1 (2012), 110–122  mathnet  mathscinet
    88. S. A. Nazarov, “Asymptotics of solutions to the spectral elasticity problem for a spatial body with a thin coupler”, Siberian Math. J., 53:2 (2012), 274–290  mathnet  crossref  mathscinet  isi
    89. Laetitia Paoli, Adrien Petrov, “Solvability for a class of generalized standard materials with thermomechanical coupling”, Nonlinear Analysis: Real World Applications, 2012  crossref
    90. A. V. Rukavishnikov, “Nekonformnyi metod konechnykh elementov dlya odnoi zadachi gidrodinamiki s krivolineinym interfeisom”, Zh. vychisl. matem. i matem. fiz., 52:6 (2012), 1072–1094  mathnet
    91. S. A. Nazarov, “Asymptotics of eigen-oscillations of a massive elastic body with a thin baffle”, Izv. Math., 77:1 (2013), 87–142  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    92. G. Leugering, S.A. Nazarov, A.S. Slutskij, “Asymptotic analysis of 3-D thin piezoelectric rods”, Z. angew. Math. Mech, 2013, n/a  crossref
    93. M. Steigemann, B. Schramm, “Precise computation and error control of stress intensity factors and certain integral characteristics in anisotropic inhomogeneous materials”, Int J Fract, 2013  crossref
    94. Pavel Krejčí, Adrien Petrov, “Existence and uniqueness results for a class of dynamic elasto-plastic contact problems”, Journal of Mathematical Analysis and Applications, 2013  crossref
    95. S. Brisard, K. Sab, L. Dormieux, “New boundary conditions for the computation of the apparent stiffness of statistical volume elements”, Journal of the Mechanics and Physics of Solids, 2013  crossref
    96. S. A. Nazarov, “The Mandelstam Energy Radiation Conditions and the Umov–Poynting Vector in Elastic Waveguides”, J Math Sci, 2013  crossref
    97. Laetitia Paoli, Adrien Petrov, “Global solutions to phase change models with heat transfer for a class of smart materials”, Nonlinear Analysis: Real World Applications, 2013  crossref
    98. M. M. Karchevskii, “Issledovanie razreshimosti nelineinoi zadachi o ravnovesii pologoi nezakreplennoi obolochki”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 155, no. 3, Izd-vo Kazanskogo un-ta, Kazan, 2013, 105–110  mathnet
    99. O. A. Matevosyan, “Solutions of the Robin problem for the system of elastic theory in external domains”, J. Math. Sci. (N. Y.), 197:3 (2014), 367–394  mathnet  crossref  elib
    100. S.A.. Nazarov, A.S.. Slutskij, Jari Taskinen, “Korn inequality for a thin rod with rounded ends”, Math. Meth. Appl. Sci, 2014, n/a  crossref
    101. Mahdi Boukrouche, Imane Boussetouan, Laetitia Paoli, “Non-isothermal Navier–Stokes system with mixed boundary conditions and friction law: Uniqueness and regularity properties”, Nonlinear Analysis: Theory, Methods & Applications, 102 (2014), 168  crossref
    102. S. A. Nazarov, “Umov-Mandelshtam radiation conditions in elastic periodic waveguides”, Sb. Math., 205:7 (2014), 953–982  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    103. A. V. Rukavishnikov, “Domain decomposition method and numerical analysis of a fluid dynamics problem”, Comput. Math. Math. Phys., 54:9 (2014), 1459–1480  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    104. Yury Grabovsky, Davit Harutyunyan, “Exact Scaling Exponents in Korn and Korn-Type Inequalities for Cylindrical Shells”, SIAM J. Math. Anal, 46:5 (2014), 3277  crossref
    105. M. M. Karchevskii, “Investigation of the solvability of the nonlinear equilibrium problem for an unfixed shallow shell”, Lobachevskii J Math, 35:4 (2014), 397  crossref
    106. Patrizio Neff, Dirk Pauly, Karl-Josef Witsch, “Poincaré meets Korn via Maxwell: Extending Korn's first inequality to incompatible tensor fields”, Journal of Differential Equations, 2014  crossref
    107. Nazarov S.A., Specovius-Neugebauer M., Steigemann M., “Crack Propagation in Anisotropic Composite Structures”, Asymptotic Anal., 86:3-4 (2014), 123–153  crossref  isi
    108. Mahdi Boukrouche, Imane Boussetouan, Laetitia Paoli, “Existence for non-isothermal fluid flows with Tresca's friction and Cattaneo's heat law”, Journal of Mathematical Analysis and Applications, 2015  crossref
    109. C. E. Athanasiadis, D. Natroshvili, V. Sevroglou, I. G. Stratis, “Mixed impedance transmission problems for vibrating layered elastic bodies”, Math. Meth. Appl. Sci, 2015, n/a  crossref
    110. G.B.attista Maggiani, Riccardo Scala, N.V.an Goethem, “A compatible-incompatible decomposition of symmetric tensors inLpwith application to elasticity”, Math. Meth. Appl. Sci, 2015, n/a  crossref
    111. M. M. Karchevskii, R. R. Shagidullin, “O kraevykh zadachakh dlya ellipticheskikh sistem uravnenii vtorogo poryadka divergentnogo vida”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 157, no. 2, Izd-vo Kazanskogo un-ta, Kazan, 2015, 93–103  mathnet  elib
    112. S.A.. Nazarov, Jari Taskinen, “Spectral gaps for periodic piezoelectric waveguides”, Z. Angew. Math. Phys, 2015  crossref
    113. H. A. Matevossian, “On Solutions of the Neumann Problem for the Biharmonic Equation in Unbounded Domains”, Math. Notes, 98:6 (2015), 990–994  mathnet  crossref  crossref  mathscinet  isi  elib
    114. Buttazzo G., Cardone G., Nazarov S.A., “Thin Elastic Plates Supported Over Small Areas. i: Korn'S Inequalities and Boundary Layers”, J. Convex Anal., 23:2 (2016), 347–386  mathscinet  zmath  isi
    115. M. M. Karchevskii, “Smeshannyi metod konechnykh elementov dlya neklassicheskikh granichnykh zadach teorii pologikh obolochek”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 158, no. 3, Izd-vo Kazanskogo un-ta, Kazan, 2016, 322–335  mathnet  elib
    116. Kozlov V., Nazarov S.A., “on the Spectrum of An Elastic Solid With Cusps”, Adv. Differ. Equat., 21:9-10 (2016), 887–944  mathscinet  isi  elib
    117. H. A. Matevossian, “Mixed Dirichlet–Steklov problem for the biharmonic equation in weighted spaces”, J. Math. Sci. (N. Y.), 234:4 (2018), 440–454  mathnet  crossref
    118. Harutyunyan D., “Sharp Weighted Korn and Korn-Like Inequalities and an Application to Washers”, J. Elast., 127:1 (2017), 59–77  crossref  mathscinet  isi  scopus
    119. Gomez D., Nazarov S.A., Perez M.E., “Homogenization of Winkler-Steklov Spectral Conditions in Three-Dimensional Linear Elasticity”, Z. Angew. Math. Phys., 69:2 (2018), 35  crossref  isi
    120. Kozlov V.A., Nazarov S.A., “Waves and Radiation Conditions in a Cuspidal Sharpening of Elastic Bodies”, J. Elast., 132:1 (2018), 103–140  crossref  isi
  • Успехи математических наук Russian Mathematical Surveys
    Number of views:
    This page:1025
    Full text:398
    References:55
    First page:4

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019