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Danilov, Vladimir Grigor'evich
Professor
Doctor of physico-mathematical sciences
E-mail:

https://www.mathnet.ru/eng/person8396
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/211660

Publications in Math-Net.Ru Citations
2024
1. V. G. Danilov, S. O. Mikhailova, “Maslov tunnel asymptotics and random walks on a discrete-time lattice”, Mat. Zametki, 116:6 (2024),  881–897  mathnet; Math. Notes, 116:6 (2024), 1249–1263  scopus
2. V. G. Danilov, “Asymptotics of Fundamental Solutions of Parabolic Problems”, Mat. Zametki, 115:2 (2024),  219–229  mathnet  mathscinet; Math. Notes, 115:2 (2024), 182–191  scopus 1
3. M. Votiakova, V. G. Danilov, A. A. Kovalishin, D. S. Minenkov, “О кризисах тепловыделения в потоке жидкости в цилиндре при сверхкритическом давлении”, TVT, 62:6 (2024),  877–887  mathnet
4. R. K. Gaydukov, V. G. Danilov, “Modeling the ice–water phase transition in a tube with small ice buildups on the wall”, Zh. Vychisl. Mat. Mat. Fiz., 64:6 (2024),  1055–1063  mathnet  elib; Comput. Math. Math. Phys., 64:6 (2024), 1317–1325
2022
5. R. K. Gaydukov, V. G. Danilov, “Asymptotic Solutions of Flow Problems with Boundary Layer of Double-Deck Structures”, Mat. Zametki, 112:4 (2022),  521–533  mathnet  mathscinet; Math. Notes, 112:4 (2022), 523–532  scopus 4
2020
6. V. G. Danilov, “Weak Asymptotics Method Approach to the Problem of $\delta$-Shock Wave Interactions”, Math. Notes, 108:1 (2020), 29–38  mathnet  mathscinet  isi  elib  scopus
2015
7. V. G. Danilov, R. Gaydukov, “Double-Deck Structure of the Boundary Layer in Problems of Flow around Localized Perturbations on a Plate”, Math. Notes, 98:4 (2015), 561–571  mathnet  isi  elib  scopus 16
2012
8. V. G. Danilov, V. Yu. Rudnev, “Численное исследование локализованного возмущения температуры в модели фазового поля в случае слияния свободных границ”, Zh. Vychisl. Mat. Mat. Fiz., 52:11 (2012),  2080–2092  mathnet
2006
9. V. G. Danilov, V. Yu. Rudnev, “A weak asymptotic solution of the phase-field system in the case of confluence of free boundaries in the Stefan–Gibbs–Thomson problem”, Fundam. Prikl. Mat., 12:6 (2006),  49–66  mathnet  mathscinet  zmath; J. Math. Sci., 151:1 (2008), 2664–2676  scopus
2003
10. V. G. Danilov, K. Yu. Rossinskii, “Streamline of a plate with small periodic irregularities”, Mat. Model., 15:11 (2003),  91–109  mathnet  mathscinet  zmath 3
2001
11. V. G. Danilov, S. M. Frolovichev, “The Exponential Asymptotics of Solutions of the Kolmogorov–Feller Equation”, Differ. Uravn., 37:9 (2001),  1273–1276  mathnet  mathscinet; Differ. Equ., 37:9 (2001), 1340–1344
2000
12. V. G. Danilov, A. M. Loginov, E. M. Lukashev, “Nonlinear concentration waves in adsorption problems”, Mat. Model., 12:8 (2000),  107–126  mathnet  mathscinet  zmath
1998
13. V. G. Danilov, V. P. Maslov, V. M. Shelkovich, “Algebras of the singularities of singular solutions to first-order quasi-linear strictly hyperbolic systems”, TMF, 114:1 (1998),  3–55  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 114:1 (1998), 1–42  isi 52
1997
14. G. A. Omel'yanov, E. V. Radkevich, V. G. Danilov, “The problem of phase transition in a phase field system”, Dokl. Akad. Nauk, 352:6 (1997),  731–734  mathnet  mathscinet  zmath
1996
15. V. G. Danilov, N. V. Kokotushkina, “Filtration of a fluid through a model elastic medium”, Dokl. Akad. Nauk, 347:1 (1996),  30–33  mathnet  mathscinet  zmath
1995
16. V. G. Danilov, G. A. Omel'yanov, E. V. Radkevich, “Asymptotic behavior of the solution of a phase field system, and a modified Stefan problem”, Differ. Uravn., 31:3 (1995),  483–491  mathnet  mathscinet; Differ. Equ., 31:3 (1995), 446–454 7
17. G. A. Omel'yanov, V. G. Danilov, E. V. Radkevich, “On regularization of initial conditions of the modified Stefan problem”, Mat. Zametki, 57:5 (1995),  793–795  mathnet  mathscinet  zmath; Math. Notes, 57:5 (1995), 559–561  isi 1
18. V. G. Danilov, S. M. Frolovichev, “Method of reflections applied to the construction of the asymptote of Green's function for parabolic equations with variable coefficients”, Mat. Zametki, 57:3 (1995),  467–470  mathnet  mathscinet  zmath; Math. Notes, 57:3 (1995), 323–326  isi 1
19. V. G. Danilov, “Asymptotics of nonoscillating fundamental solution of $h$-pseudodifferential equations”, Mat. Zametki, 57:2 (1995),  304–306  mathnet  mathscinet  zmath  elib; Math. Notes, 57:2 (1995), 214–216  isi 2
20. V. G. Danilov, G. A. Omel'yanov, E. V. Radkevich, “Justification of asymptotics of solutions of the phase-field equations and a modified Stefan problem”, Mat. Sb., 186:12 (1995),  63–80  mathnet  mathscinet  zmath; Sb. Math., 186:12 (1995), 1753–1771  isi 7
1994
21. V. V. Bulatov, Yu. V. Vladimirov, V. G. Danilov, S. Yu. Dobrokhotov, “An example of the computation of the “eye” of a hurricane based on a conjecture of V. P. Maslov”, Dokl. Akad. Nauk, 338:1 (1994),  102–105  mathnet  mathscinet 7
22. K. A. Volosov, V. G. Danilov, A. M. Loginov, “Exact single-wave and two-phase solutions for sistems of semilinear parabolic equations”, TMF, 101:2 (1994),  189–199  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 101:2 (1994), 1289–1295  isi 3
1993
23. V. G. Danilov, E. A. Kiseleva, “Remarks on heat convection in a porous medium”, Dokl. Akad. Nauk, 332:1 (1993),  29–32  mathnet  mathscinet  zmath; Dokl. Math., 38:9 (1993), 363–365
1991
24. V. G. Danilov, O. B. Rashkowsky, “The asymptotic solution of the equation describing the polytropic gas filtration in a nonhomogeneous porous medium. 2”, Mat. Model., 3:3 (1991),  97–108  mathnet  mathscinet  zmath
25. V. G. Danilov, O. B. Rashkowsky, “The asymptotic solution of the equation describing the polytropic gas filtration in a nonhomogeneous porous medium. 2”, Mat. Model., 3:2 (1991),  119–134  mathnet  mathscinet  zmath
26. V. G. Danilov, P. Yu. Subochev, “Interaction of kinks in the KPP–Fisher equation”, Mat. Zametki, 50:3 (1991),  152–154  mathnet  mathscinet  zmath; Math. Notes, 50:3 (1991), 981–982  isi 2
27. V. G. Danilov, “Asymptotic finite solutions of degenerate quasilinear parabolic equations with small diffusion”, Mat. Zametki, 50:2 (1991),  77–88  mathnet  mathscinet  zmath; Math. Notes, 50:2 (1991), 823–831 1
28. V. G. Danilov, P. Yu. Subochev, “Wave solutions of semilinear parabolic equations”, TMF, 89:1 (1991),  25–47  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 89:1 (1991), 1029–1046  isi 13
1990
29. V. G. Danilov, “Asymptotic solutions of traveling wave type for semilinear parabolic equations with a small parameter”, Mat. Zametki, 48:2 (1990),  148–151  mathnet  mathscinet  zmath 7
1989
30. V. G. Danilov, P. N. Zhevandrov, “On Maslov's method for constructing combined asymptotics for $h$-pseudodifferential equations”, Izv. Akad. Nauk SSSR Ser. Mat., 53:2 (1989),  411–424  mathnet  mathscinet  zmath; Math. USSR-Izv., 34:2 (1990), 425–439 2
31. K. A. Volosov, V. G. Danilov, “A model of thermal silicon oxidation”, Mat. Model., 1:11 (1989),  58–67  mathnet  mathscinet  zmath
32. V. G. Danilov, “Global formulas for solutions of quasilinear parabolic equations with a small parameter and ill-posedness”, Mat. Zametki, 46:1 (1989),  115–117  mathnet  mathscinet  zmath 5
1988
33. V. G. Danilov, O. B. Rashkowsky, “Asymptotic solution of a boundary value problem for a nonlinear nonstationary equation of isothermic filtration of a gas in an inhomogeneous anisotropic porous medium”, Dokl. Akad. Nauk SSSR, 301:6 (1988),  1352–1356  mathnet  mathscinet  zmath; Dokl. Math., 33:8 (1988), 583–584
34. V. G. Danilov, “Correctness of $h$-pseudodifferential equations in the class of asymptotics of exponential type”, Mat. Zametki, 44:3 (1988),  406–409  mathnet  zmath
35. V. G. Danilov, V. P. Maslov, “Asymptotics of reaction-diffusion equations”, Mat. Zametki, 44:1 (1988),  152–153  mathnet  zmath
36. K. A. Volosov, V. G. Danilov, V. P. Maslov, “Structure of a weak discontinuity of solutions of quasilinear degenerate parabolic equations”, Mat. Zametki, 43:6 (1988),  829–839  mathnet  mathscinet  zmath; Math. Notes, 43:6 (1988), 479–485  isi 1
1986
37. K. A. Volosov, V. G. Danilov, V. P. Maslov, “Burning wave asymptotics in a nonlinear inhomogeneous medium with slowly varying properties”, Dokl. Akad. Nauk SSSR, 290:5 (1986),  1089–1094  mathnet  mathscinet  zmath
38. K. A. Volosov, V. G. Danilov, N. A. Kolobov, V. P. Maslov, “Solutions of the type of localized solitary waves for quasilinear parabolic equations of diffusion with chemical reactions”, Dokl. Akad. Nauk SSSR, 287:6 (1986),  1290–1294  mathnet  mathscinet  zmath 1
1985
39. V. G. Danilov, V. P. Maslov, “Pontryagin's duality principle for calculation of an effect of Cherenkov's type in crystals and difference schemes. II”, Trudy Mat. Inst. Steklov., 167 (1985),  96–107  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 167 (1986), 103–116 6
1984
40. V. P. Maslov, V. G. Danilov, “Pontryagin's duality principle for calculation of an effect of Cherenkov's type in crystals and difference schemes”, Trudy Mat. Inst. Steklov., 166 (1984),  130–160  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 166 (1986), 143–177 8
1982
41. V. G. Danilov, I. A. Dzhemesiuk, “Estimates for integral Fourier operators with complex phase”, Mat. Zametki, 32:4 (1982),  557–576  mathnet  mathscinet  zmath; Math. Notes, 32:4 (1982), 761–771  isi 2
1979
42. V. G. Danilov, “Estimates for a pseudodifferential canonical operator with complex phase”, Dokl. Akad. Nauk SSSR, 244:4 (1979),  800–804  mathnet  mathscinet  zmath 5
43. V. G. Danilov, Le Vu An', “On Fourier integral operators”, Mat. Sb. (N.S.), 110(152):3(11) (1979),  323–368  mathnet  mathscinet  zmath; Math. USSR-Sb., 38:3 (1981), 293–334  isi 9
1976
44. V. P. Maslov, V. G. Danilov, “Quasiinvertibility of functions of ordered operators in the theory of pseudodifferential equations”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 6 (1976),  5–132  mathnet  mathscinet  zmath; J. Soviet Math., 7:5 (1977), 695–795 7
1974
45. V. G. Danilov, “Stability of difference schemes for first order systems that are well posed in the sense of {Petrovskiĭ}”, Izv. Vyssh. Uchebn. Zaved. Mat., 1974, no. 12,  58–60  mathnet  mathscinet  zmath
2024
46. S. O. Gorchinskiy, V. G. Danilov, S. Yu. Dobrokhotov, V. V. Kozlov, V. E. Nazaikinskii, N. N. Nefedov, D. O. Orlov, S. A. Stepin, I. A. Taimanov, D. V. Treschev, N. A. Tyurin, A. T. Fomenko, S. E. Yakush, “Andrei Igorevich Shafarevich (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 79:3(477) (2024),  185–188  mathnet  mathscinet; Russian Math. Surveys, 79:3 (2024), 553–556  isi

Presentations in Math-Net.Ru
1. EXACT ASYMPTOTICS OF FUNDAMENTAL SOLUTIONS OF INITIAL-BOUNDARY VALUE PROBLEMS for NON-STRICTLY PARABOLIC EQUATIONS with SMALL PARAMETER
V. G. Danilov
Seminar on nonlinear problems of partial differential equations and mathematical physics
April 22, 2025 18:00
2. Weak asymptotic method for describing the propagation and interactions of solitary waves
V. G. Danilov
Seminar on nonlinear problems of partial differential equations and mathematical physics
November 22, 2022 18:00   
3. Метод слабых асимптотик для описания взаимодействия нелинейных волн
V. G. Danilov

November 9, 2022 16:20
4. Solution of one boundary value problem on the semi-axis for the diffusion equation with a growing coefficient
V. G. Danilov
Seminar on nonlinear problems of partial differential equations and mathematical physics
May 18, 2021 19:30   
5. Propagation and interaction of solution singularities for nonlinear equations
Vladimir Danilov
School-Seminar "Interaction of Mathematics and Physics: New Perspectives" for graduate students and young researchers
August 29, 2012 15:00   

Organisations