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Gabov Sergei Aleksandrovich

Publications in Math-Net.Ru

  1. On an abstract Cauchy problem that arises in the theory of internal waves in the presence of flotation

    Dokl. Akad. Nauk SSSR, 310:2 (1990),  280–283
  2. Mathematical problems of the dynamics of a floating fluid

    Itogi Nauki i Tekhn. Ser. Mat. Anal., 28 (1990),  3–86
  3. Linear problems of the dynamics of a floating fluid. Existence theorems

    Mat. Zametki, 48:5 (1990),  47–54
  4. Energy characteristics of non-stationary internal waves in a vertical channel containing a stratified liquid

    Zh. Vychisl. Mat. Mat. Fiz., 30:5 (1990),  751–766
  5. The flow of a heavy liquid in the presence of a periodic impressed force

    Zh. Vychisl. Mat. Mat. Fiz., 30:4 (1990),  501–512
  6. On an initial-boundary value problem which arises in the dynamics of a compressible stratified fluid

    Zh. Vychisl. Mat. Mat. Fiz., 30:3 (1990),  457–465
  7. A property of systems of functions that are complete in $W^1_2(\Omega)$

    Dokl. Akad. Nauk SSSR, 307:6 (1989),  1304–1307
  8. Mathematical foundations of linear theory of ion-sound waves in non-magnetized plasma

    Mat. Model., 1:12 (1989),  133–148
  9. On a boundary value problem describing the electric current in a magnetized semiconductor

    Mat. Model., 1:5 (1989),  71–79
  10. The flow of flotable finite-depth fluid in the presence of varying pressure on the free surface

    Mat. Model., 1:3 (1989),  110–122
  11. Calculation of the parameters of steady-state waves of finite amplitude on the surface of a floating fluid

    Mat. Model., 1:2 (1989),  109–118
  12. Cauchy–Poisson problem in the theory of floating liquid

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1989, no. 4,  26–30
  13. On the energy characteristics of a horizontal channel filled with a stratified fluid

    Zh. Vychisl. Mat. Mat. Fiz., 29:11 (1989),  1662–1673
  14. The flow of a floating fluid with the formation of standing waves over an uneven periodically varying bottom

    Zh. Vychisl. Mat. Mat. Fiz., 29:8 (1989),  1129–1143
  15. On the small vibrations of a section placed at the boundary of separation between two stratified liquids

    Zh. Vychisl. Mat. Mat. Fiz., 29:4 (1989),  554–564
  16. The theory of internal and surface waves in a stratified liquid

    Zh. Vychisl. Mat. Mat. Fiz., 29:2 (1989),  225–238
  17. Nonlinear waves of a certain type that are describable by the Dubreil–Jacotin equation

    Dokl. Akad. Nauk SSSR, 302:5 (1988),  1036–1039
  18. A method for the reduction and investigation of equations of the dynamics of a stratified fluid

    Dokl. Akad. Nauk SSSR, 300:3 (1988),  525–529
  19. A problem in the hydrodynamics of an ideal fluid that is connected with flotation

    Differ. Uravn., 24:1 (1988),  16–21
  20. Investigation of the linear equations of the dynamics of a compressible stratified fluid

    Zh. Vychisl. Mat. Mat. Fiz., 28:12 (1988),  1832–1842
  21. On the existence of steady waves of finite amplitude on the surface of a floating liquid

    Zh. Vychisl. Mat. Mat. Fiz., 28:10 (1988),  1507–1519
  22. On the flow of a stratified fluid past an obstacle

    Zh. Vychisl. Mat. Mat. Fiz., 28:4 (1988),  608–613
  23. The theory of interior waves when a free surface is present

    Zh. Vychisl. Mat. Mat. Fiz., 28:3 (1988),  335–345
  24. The problem of the oscillations of a flat disc in a stratified liquid

    Zh. Vychisl. Mat. Mat. Fiz., 28:1 (1988),  63–71
  25. Nonstationary oscillations of a vertical column of a stratified fluid and their stabilization

    Dokl. Akad. Nauk SSSR, 295:5 (1987),  1041–1045
  26. On the Dirichlet problem for the gravitational-gyroscopic wave equation

    Dokl. Akad. Nauk SSSR, 295:2 (1987),  272–275
  27. On the non-stationary Larsen problem

    Zh. Vychisl. Mat. Mat. Fiz., 27:8 (1987),  1184–1194
  28. A third-order differential equation

    Zh. Vychisl. Mat. Mat. Fiz., 27:7 (1987),  1100–1105
  29. Solvability of an exterior initial-boundary value problem for the gravitational gyroscopic wave equation

    Zh. Vychisl. Mat. Mat. Fiz., 27:5 (1987),  711–719
  30. On the non-stationary theory of internal waves. Existence theorems

    Zh. Vychisl. Mat. Mat. Fiz., 27:2 (1987),  237–244
  31. The gravitational-gyroscopic wave equation: The angular potential and its applications

    Zh. Vychisl. Mat. Mat. Fiz., 27:1 (1987),  102–113
  32. An evolution equation arising in the hydroacoustics of a stratified fluid

    Dokl. Akad. Nauk SSSR, 287:5 (1986),  1037–1040
  33. The method of descent and singular solutions of an equation of the dynamics of a stratified fluid

    Differ. Uravn., 22:2 (1986),  279–285
  34. A fourth-order evolution equation encountered in underwater acoustics of a stratified fluid

    Differ. Uravn., 22:1 (1986),  19–25
  35. An equation for stationary capillary gravitational-gyroscopic waves in shallow water, and Kelvin waves

    Itogi Nauki i Tekhn. Ser. Mat. Anal., 24 (1986),  207–269
  36. On the non-stationary theory of internal waves

    Zh. Vychisl. Mat. Mat. Fiz., 26:8 (1986),  1223–1233
  37. The equation $\frac{\partial^2}{\partial t^2}[u_{xx}-u]+u_{xx}=0$ and some problems associated with it

    Zh. Vychisl. Mat. Mat. Fiz., 26:1 (1986),  92–102
  38. Kelvin capillary waves and diffraction by a half plane

    Dokl. Akad. Nauk SSSR, 282:4 (1985),  780–784
  39. An equation of capillary gravitational-gyroscopic waves on shallow water

    Dokl. Akad. Nauk SSSR, 282:1 (1985),  11–15
  40. An operator pencil arising in the dynamics of a compressible stratified fluid

    Dokl. Akad. Nauk SSSR, 280:1 (1985),  23–26
  41. Alekseǐ Georgievich Sveshnikov (on the occasion of his sixtieth birthday)

    Differ. Uravn., 21:2 (1985),  357–360
  42. An initial-boundary value problem for the gravitational-gyroscopic wave equation

    Zh. Vychisl. Mat. Mat. Fiz., 25:11 (1985),  1689–1696
  43. An equation of two-dimensional waves in a compressible rotating fluid, and diffraction problems

    Zh. Vychisl. Mat. Mat. Fiz., 25:6 (1985),  873–882
  44. Solution of a problem of the dynamics of a stratified fluid and its stabilization as $t\to\infty$

    Zh. Vychisl. Mat. Mat. Fiz., 25:5 (1985),  718–730
  45. Angular potential for S. L. Sobolev's equation and its applications

    Dokl. Akad. Nauk SSSR, 278:3 (1984),  527–530
  46. Explicit solution and existence of a limit amplitude for a problem of dynamics of a stratified fluid

    Dokl. Akad. Nauk SSSR, 277:5 (1984),  1039–1043
  47. A differential equation of the type of S. L. Sobolev's equation

    Dokl. Akad. Nauk SSSR, 276:1 (1984),  14–17
  48. Scattering of internal waves by an edge of an ice field. The case of finite depth

    Differ. Uravn., 20:12 (1984),  2088–2095
  49. An equation of the dynamics of a viscous stratified fluid

    Differ. Uravn., 20:7 (1984),  1156–1165
  50. Some equations that arise in the dynamics of a rotating, stratified and compressible fluid

    Zh. Vychisl. Mat. Mat. Fiz., 24:12 (1984),  1850–1863
  51. A spectral problem connected with oscillations of a viscous stratified fluid

    Zh. Vychisl. Mat. Mat. Fiz., 24:6 (1984),  893–899
  52. The Cauchy problem for a class of motions of a viscous stratified fluid

    Zh. Vychisl. Mat. Mat. Fiz., 24:3 (1984),  467–471
  53. The potential function and problems on oscillations of an exponentially stratified fluid

    Dokl. Akad. Nauk SSSR, 269:2 (1983),  270–273
  54. Basic boundary value problems for the equation of oscillations of a stratified fluid

    Dokl. Akad. Nauk SSSR, 268:6 (1983),  1293–1296
  55. The scattering of waves described by the Klein–Gordon equation by an inclined half plane

    Dokl. Akad. Nauk SSSR, 268:5 (1983),  1095–1098
  56. An equation of composite type connected with oscillations of a compressible stratified fluid

    Differ. Uravn., 19:7 (1983),  1171–1180
  57. On the diffraction of internal waves by the edge of an ice field

    Dokl. Akad. Nauk SSSR, 265:1 (1982),  16–20
  58. Diffraction at a half-plane of internal waves described by the Klein–Gordon equation

    Dokl. Akad. Nauk SSSR, 264:1 (1982),  73–75
  59. Some problems connected with the oscillations of stratified fluids

    Differ. Uravn., 18:7 (1982),  1150–1156
  60. On a problem that contains a spectral parameter in the boundary condition

    Differ. Uravn., 18:4 (1982),  626–631
  61. On a class of eigenvalue problems that contain a spectral parameter in a boundary condition

    Differ. Uravn., 18:3 (1982),  450–457
  62. A problem of diffraction of waves described by the Klein–Gordon equation

    Zh. Vychisl. Mat. Mat. Fiz., 22:6 (1982),  1513–1518
  63. Asymptotic behaviour of the solution of a problem in the theory of waves on the surface of a thin layer of stratified fluid

    Zh. Vychisl. Mat. Mat. Fiz., 22:3 (1982),  690–699
  64. Asymptotic form of the solution of the problem of waves on the surface of a thin spherical layer of a stratified liquid in the presence of obstacles

    Dokl. Akad. Nauk SSSR, 260:3 (1981),  579–583
  65. Theory of steady waves on the surface of a spherical layer of a stratified liquid

    Dokl. Akad. Nauk SSSR, 256:2 (1981),  343–346
  66. On the asymptotic behavior of the solution of a problem on the diffraction of long waves on the surface of a stratified fluid

    Differ. Uravn., 17:10 (1981),  1817–1825
  67. Applications of angular potential. On the solution of a problem of Poincaré

    Differ. Uravn., 17:8 (1981),  1483–1486
  68. On the spectrum and bases of eigenfunctions of a problem connected with oscillations of a rotating fluid

    Mat. Sb. (N.S.), 116(158):2(10) (1981),  245–252
  69. The selfadjoint V. A. Steklov problem with oblique derivative

    Zh. Vychisl. Mat. Mat. Fiz., 21:4 (1981),  1046–1049
  70. The spectrum and bases of eigenfunctions of a problem on acoustic oscillations of a rotating liquid

    Dokl. Akad. Nauk SSSR, 254:4 (1980),  777–779
  71. On the spectrum of a problem of S. L. Sobolev

    Dokl. Akad. Nauk SSSR, 253:3 (1980),  521–524
  72. On completeness and basicity of the system of eigenfunctions of a problem arising in the theory of tidal oscillations

    Dokl. Akad. Nauk SSSR, 250:4 (1980),  780–782
  73. Long-wave asymptotic behavior of the Green function of a wave problem on the surface of a stratified fluid

    Zh. Vychisl. Mat. Mat. Fiz., 20:6 (1980),  1564–1579
  74. Application of Watson's method to a problem of the theory of waves on the surface of a heavy fluid

    Zh. Vychisl. Mat. Mat. Fiz., 20:4 (1980),  965–978
  75. The angular potential on curves of bounded rotation

    Dokl. Akad. Nauk SSSR, 249:2 (1979),  271–274
  76. On the property of destruction of solitary waves described by the Whitham equation

    Dokl. Akad. Nauk SSSR, 246:6 (1979),  1292–1295
  77. Applications of angular potential. Solution of problems of the diffraction of tide waves

    Differ. Uravn., 15:7 (1979),  1271–1278
  78. The angular potential for the operator $\Delta+c(x)$

    Zh. Vychisl. Mat. Mat. Fiz., 19:5 (1979),  1162–1177
  79. Angular potential for solving an elliptic equation with variable coefficients

    Zh. Vychisl. Mat. Mat. Fiz., 19:3 (1979),  652–664
  80. The angular potential for a divergence elliptic operator

    Dokl. Akad. Nauk SSSR, 243:4 (1978),  835–838
  81. On Whitham's equation

    Dokl. Akad. Nauk SSSR, 242:5 (1978),  993–996
  82. Applications of angular potential: integral equations for the plane problem with an oblique derivative for harmonic functions

    Zh. Vychisl. Mat. Mat. Fiz., 18:6 (1978),  1516–1528
  83. The Green function of the Laplace operator in the plane problem with an oblique derivative with constant coefficients

    Zh. Vychisl. Mat. Mat. Fiz., 18:3 (1978),  660–671
  84. The angular potential and some of its applications

    Mat. Sb. (N.S.), 103(145):4(8) (1977),  490–504
  85. Angular potential and the oblique derivative problem for harmonic functions

    Zh. Vychisl. Mat. Mat. Fiz., 17:3 (1977),  706–717
  86. On the oblique derivative problem for Laplace's equation

    Dokl. Akad. Nauk SSSR, 226:2 (1976),  253–256
  87. Kelvin-wave diffraction by a slit

    Dokl. Akad. Nauk SSSR, 220:5 (1975),  1050–1052
  88. Diffraction of Kelvin waves by a semi-infinite wall in a semi-bounded basin

    Zh. Vychisl. Mat. Mat. Fiz., 15:6 (1975),  1512–1524
  89. Application of L. N. Sretenskii's method to a problem of the theory of waves in channels

    Zh. Vychisl. Mat. Mat. Fiz., 15:1 (1975),  217–226
  90. Diffraction of Kelvin wave on semi-infinite wall

    Dokl. Akad. Nauk SSSR, 217:2 (1974),  299–302

  91. Aleksei Georgievich Sveshnikov (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 40:6(246) (1985),  163–164

© Steklov Math. Inst. of RAS, 2026