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Amosov Andrey Avenirovitch

Publications in Math-Net.Ru

  1. Stationary problem of complex heat transfer in a system of semitransparent bodies with boundary conditions of diffuse reflection and refraction of radiation

    Zh. Vychisl. Mat. Mat. Fiz., 57:3 (2017),  510–535
  2. Nonstationary problem of complex heat transfer in a system of semitransparent bodies with radiation diffuse reflection and refraction boundary-value conditions

    CMFD, 59 (2016),  5–34
  3. Substantiation of two-scale homogenization of the equations governing the longitudinal vibrations of a viscoelastoplastic Ishlinskii material

    Zh. Vychisl. Mat. Mat. Fiz., 47:6 (2007),  988–1006
  4. Finite-difference scheme for two-scale homogenized equations of one-dimensional motion of a thermoviscoelastic Voigt-type body

    Zh. Vychisl. Mat. Mat. Fiz., 46:4 (2006),  727–754
  5. Global solvability of a nonlinear nonstationary problem with a nonlocal boundary condition of radiative heat transfer type

    Differ. Uravn., 41:1 (2005),  93–104
  6. Existence of Global Weak Solutions to the Equations of One-Dimensional Nonlinear Thermoviscoelasticity with Discontinuous Data

    Trudy Mat. Inst. Steklova, 236 (2002),  11–19
  7. Substantiation of two-scale homogenization of one-dimensional nonlinear thermoviscoelasticity equations with nonsmooth data

    Zh. Vychisl. Mat. Mat. Fiz., 41:11 (2001),  1713–1733
  8. The existence of global generalized solutions of the equations of one-dimensional motion of a real viscous gas with discontinuous data

    Differ. Uravn., 36:4 (2000),  486–499
  9. A semidiscrete method for solving equations of the one-dimensional motion of a viscous heat-conducting gas with nonsmooth data. Regularity of solutions

    Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 5,  12–25
  10. A finite difference scheme for quasi-averaged equations of one-dimensional viscous heat-conducting gas flow with nonsmooth data

    Zh. Vychisl. Mat. Mat. Fiz., 39:4 (1999),  592–611
  11. Stability of generalized solutions to equations of one-dimensional motion of viscous heat-conducting gases

    Mat. Zametki, 63:6 (1998),  835–846
  12. Quasi-averaging of the system of equations of one-dimensional motion of a viscous heat-conducting gas with rapidly oscillating data

    Zh. Vychisl. Mat. Mat. Fiz., 38:7 (1998),  1204–1219
  13. Justification of the quasi-averaging of equations of the one-dimensional motion of a viscous heat-conducting gas with rapidly oscillating properties

    Dokl. Akad. Nauk, 354:4 (1997),  439–442
  14. On properties of generalized solutions of one-dimensional linear parabolic problems with nonsmooth coefficients

    Differ. Uravn., 33:1 (1997),  83–95
  15. A semidiscrete method for solving equations of the one-dimensional motion of a non-homogeneous viscous heat-conducting gas with nonsmooth data

    Izv. Vyssh. Uchebn. Zaved. Mat., 1997, no. 4,  3–19
  16. Weak convergence for a class of rapidly oscillating functions

    Mat. Zametki, 62:1 (1997),  145–150
  17. On the stability of generalized solutions of equations of one-dimensional motion of a viscous heat-conducting gas

    Sibirsk. Mat. Zh., 38:4 (1997),  767–789
  18. Properties “in the large” of quasi-averaged equations of the one-dimensional motion of a viscous heat-conducting gas

    Dokl. Akad. Nauk, 346:2 (1996),  151–154
  19. An estimate of the error of quasi-averaging of the equations of motion of a viscous barotropic medium with rapidly oscillating data

    Zh. Vychisl. Mat. Mat. Fiz., 36:10 (1996),  111–128
  20. On quasi-averaged equations of the one-dimensional motion of a viscous barotropic medium with rapidly oscillating data

    Zh. Vychisl. Mat. Mat. Fiz., 36:2 (1996),  87–110
  21. Justification of quasi-averaged equations of the one-dimensional motion of a viscous barotropic medium with rapidly oscillating properties

    Dokl. Akad. Nauk, 342:3 (1995),  295–299
  22. Uniqueness and stability of generalized solutions of quasi-averaged equations of the one-dimensional motion of a viscous barotropic medium

    Differ. Uravn., 31:7 (1995),  1123–1131
  23. Solvability “in the large” of a class of quasilinear systems of equations of composite type with nonsmooth data

    Differ. Uravn., 30:4 (1994),  596–609
  24. Uniqueness and stability of generalized solutions for a class of quasilinear systems of composite type equations

    Mat. Zametki, 55:6 (1994),  13–31
  25. Solvability “in the large” of a system of equations of the one-dimensional motion of an inhomogeneous viscous heat-conducting gas

    Mat. Zametki, 52:2 (1992),  3–16
  26. A difference scheme on a non-uniform mesh for the equations of one-dimensional magnetic gas dynamics

    Zh. Vychisl. Mat. Mat. Fiz., 29:4 (1989),  521–534
  27. Generalized solutions “in the large” of the equations of the one-dimensional motion of a viscous heat-conducting gas

    Dokl. Akad. Nauk SSSR, 301:1 (1988),  11–15
  28. Generalized solutions “in the large” of equations of the one-dimensional motion of a viscous barotropic gas

    Dokl. Akad. Nauk SSSR, 299:6 (1988),  1303–1307
  29. A family of difference schemes for equations of one-dimensional magnetogasdynamics: properties and error estimates “in the large”

    Dokl. Akad. Nauk SSSR, 299:6 (1988),  1295–1299
  30. Difference schemes of second-order of accuracy for the equations of the one-dimensional motion of a viscous gas

    Zh. Vychisl. Mat. Mat. Fiz., 27:7 (1987),  1032–1049
  31. A difference scheme for equations of one-dimensional motion of a viscous barotropic gas, its properties and estimates of the error “in the large”

    Dokl. Akad. Nauk SSSR, 288:2 (1986),  270–275
  32. A difference scheme for equations of motion of a viscous heat conducting gas, its properties and error estimates “in the large”

    Dokl. Akad. Nauk SSSR, 284:2 (1985),  265–269
  33. Correctness “in the large” of initial-boundary value problems for a system of equations of the dynamics of a viscous radiating gas

    Dokl. Akad. Nauk SSSR, 280:6 (1985),  1326–1329
  34. A set of routines for the solution of problems of nonlinear optics

    Zh. Vychisl. Mat. Mat. Fiz., 22:3 (1982),  756–758
  35. Iteration processes for a problem of stationary heat exchange in a system of absolutely black bodies

    Zh. Vychisl. Mat. Mat. Fiz., 20:1 (1980),  104–111
  36. The limit connection between two problems of radiation heat transfer

    Dokl. Akad. Nauk SSSR, 246:5 (1979),  1080–1083
  37. The solvability of a problem of radiation heat transfer

    Dokl. Akad. Nauk SSSR, 245:6 (1979),  1341–1344
  38. A positive solution of an elliptic equation with nonlinear integral boundary condition of the radiation type

    Mat. Zametki, 22:1 (1977),  117–128
  39. Description of a program set for solution of the light-wave propagation equations

    Zh. Vychisl. Mat. Mat. Fiz., 17:4 (1977),  1074–1076
  40. Ordering of Information Criteria for Discrimination of Probability Distributions

    Probl. Peredachi Inf., 12:4 (1976),  3–9
  41. Scalar-Matrix Differentiation and Its Applications to Constructive Problems of Communication Theory

    Probl. Peredachi Inf., 8:1 (1972),  3–15

  42. In memory of Professor Stanislav Ivanovich Pokhozhaev, Corresponding Member of RAS

    Zh. Vychisl. Mat. Mat. Fiz., 57:3 (2017),  379–380

© Steklov Math. Inst. of RAS, 2026