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Omel'yanov Georgiy Aleksandrovich

Publications in Math-Net.Ru

  1. Asymptotics of Kink–Kink Interaction for Sine-Gordon Type Equations

    Mat. Zametki, 75:4 (2004),  603–607
  2. Numerical simulation of unstable processes in phase decomposition problem

    Mat. Model., 14:2 (2002),  27–38
  3. Dynamics of a free boundary in a binary medium with variable thermal conductivity

    Mat. Zametki, 66:2 (1999),  231–241
  4. A geometric correction in the problem on the motion of a free boundary

    Mat. Zametki, 63:1 (1998),  151–153
  5. The problem of phase transition in a phase field system

    Dokl. Akad. Nauk, 352:6 (1997),  731–734
  6. Asymptotic behavior of the solution of a phase field system, and a modified Stefan problem

    Differ. Uravn., 31:3 (1995),  483–491
  7. The turbulent dynamo problem

    Mat. Zametki, 58:6 (1995),  936–939
  8. On regularization of initial conditions of the modified Stefan problem

    Mat. Zametki, 57:5 (1995),  793–795
  9. Justification of asymptotics of solutions of the phase-field equations and a modified Stefan problem

    Mat. Sb., 186:12 (1995),  63–80
  10. Turbulent bending of a plasma filament in vacuum

    Dokl. Akad. Nauk, 336:3 (1994),  320–323
  11. Three-scale expansion of the solution of the magnetohydrodynamic equations and the Reynolds equation for a tokamak

    TMF, 98:2 (1994),  297–311
  12. Existence of a solution to the equations of magnetohydrodynamics with helical symmetry in the tokamak approximation

    Mat. Zametki, 53:6 (1993),  72–88
  13. Interaction of waves of different scales in gas dynamics

    Mat. Zametki, 53:1 (1993),  148–151
  14. On equations of Kadomtsev–Pogutse type for a tokamak and domains of arbitrary symmetry

    Dokl. Akad. Nauk, 326:1 (1992),  83–90
  15. Rapidly oscillating asymptotic solution of magnetohydrodynamic equations in the Tokamak approximation

    TMF, 92:2 (1992),  269–292
  16. Interaction of short waves with nonlinear phases in weakly nonlinear media with small viscosity

    Mat. Zametki, 48:5 (1990),  150–153
  17. Interaction of short waves in the barotropic atmosphere

    Dokl. Akad. Nauk SSSR, 307:4 (1989),  844–849
  18. Single-phase asymptotics for equations of magnetohydrodynamics for large Reynolds numbers

    Sibirsk. Mat. Zh., 29:5 (1988),  172–180
  19. Soliton-like asymptotics of internal waves in a stratified fluid with small dispersion

    Differ. Uravn., 21:10 (1985),  1766–1775
  20. Asymptotics of some differential and pseudodifferential equations, and dynamical systems with small dispersion

    Mat. Sb. (N.S.), 122(164):2(10) (1983),  197–219
  21. Conditions of Hugoniot type for infinitely narrow solutions of the simple wave equation

    Sibirsk. Mat. Zh., 24:5 (1983),  172–182
  22. Boundary value problems for elliptic systems of nonlinear differential equations with a small parameter

    Differ. Uravn., 18:10 (1982),  1829–1831
  23. Asymptotic soliton-form solutions of equations with small dispersion

    Uspekhi Mat. Nauk, 36:3(219) (1981),  63–126


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