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Krylov Aleksandr L'vovich

Publications in Math-Net.Ru

  1. A stochastic description of finite-gap potentials

    Uspekhi Mat. Nauk, 54:2(326) (1999),  175–176
  2. On asymptotyic evolution of a localized perturbation in the case of one dimensional Landau–Lifshitz equation with one-axis anisotropy

    TMF, 109:1 (1996),  128–136
  3. Evolution of a localized perturbation in Korteweg–de Vries hydrodynamics

    Dokl. Akad. Nauk, 323:5 (1992),  876–879
  4. Mathematical model of nonlinear generation of ultrasound by seismic waves

    Dokl. Akad. Nauk SSSR, 318:6 (1991),  1340–1345
  5. Solutions of the sine-Gordon equation by the method of modulated waves (an application to a model of a two-level medium)

    Dokl. Akad. Nauk SSSR, 305:3 (1989),  593–598
  6. Quasisimple waves in dispersive hydrodynamics

    Dokl. Akad. Nauk SSSR, 305:2 (1989),  343–347
  7. The origin of a nondissipative shock wave

    Dokl. Akad. Nauk SSSR, 301:4 (1988),  851–854
  8. Solution of two-dimensional problems of the hydrodynamics of porous media in the vicinity of vertical faults by the complex potential method

    Dokl. Akad. Nauk SSSR, 298:4 (1988),  846–850
  9. A shock wave in dispersive hydrodynamics

    Dokl. Akad. Nauk SSSR, 298:3 (1988),  608–611
  10. Langmuir oscillations of a three-dimensionally inhomogeneous plasma

    Dokl. Akad. Nauk SSSR, 277:1 (1984),  74–76
  11. On the localized waves in cold inhomogeneous plasma

    Dokl. Akad. Nauk SSSR, 271:4 (1983),  838–841
  12. On the shape of Alfven modes in the axisymmetric adiabatic trap (magnetosphere)

    Dokl. Akad. Nauk SSSR, 268:3 (1983),  583–587
  13. On the Biot–Savart law for equilibrium plasma

    Dokl. Akad. Nauk SSSR, 266:2 (1982),  328–330
  14. On hyperbolic systems with nonpropagating perturbations

    Dokl. Akad. Nauk SSSR, 252:5 (1980),  1048–1051
  15. On resonance properties of plasma in a curvilinear magnetic field

    Dokl. Akad. Nauk SSSR, 247:5 (1979),  1094–1095
  16. On natural oscillations of anisotropic media

    Dokl. Akad. Nauk SSSR, 247:2 (1979),  347–349
  17. On natural oscillation of a confined volume of magnetized cold plasma

    Dokl. Akad. Nauk SSSR, 231:1 (1976),  68–70
  18. Electric and current quasi-steady fields in the high-latitude ionosphere

    Dokl. Akad. Nauk SSSR, 218:6 (1974),  1310–1312
  19. Equations of slow electromagnetic phenomena in a strongly magnetized plasma

    Dokl. Akad. Nauk SSSR, 218:5 (1974),  1056–1059
  20. Two-dimensional model of the magnetosphere with current sheath

    Dokl. Akad. Nauk SSSR, 207:1 (1972),  90–93
  21. The Cauchy problem for Laplace's equation in the complex domain

    Dokl. Akad. Nauk SSSR, 188:4 (1969),  748–751
  22. The Cauchy problem for a second order equation with two independent variables in the complex domain

    Dokl. Akad. Nauk SSSR, 183:4 (1968),  765–767
  23. Difference approximation to differential operators of mathematical physics

    Dokl. Akad. Nauk SSSR, 178:3 (1968),  535–538
  24. Cauchy problem for Laplace's equation in the theory of electrochemical processing of metal

    Dokl. Akad. Nauk SSSR, 178:2 (1968),  321–323
  25. Stability of the central position of a jounal in a hydrodynamic bearing

    Dokl. Akad. Nauk SSSR, 169:5 (1966),  1030–1033
  26. On the stability of a Poiseuille flow in a planar channel

    Dokl. Akad. Nauk SSSR, 159:5 (1964),  978–981
  27. A proof of the instability of a certain type of flows of a viscous incompressible liquid

    Dokl. Akad. Nauk SSSR, 153:4 (1963),  787–789
  28. Uniform distribution of points on a sphere and certain ergodic properties of solutions of linear ordinary differential equations in a complex domain

    Dokl. Akad. Nauk SSSR, 148:1 (1963),  9–12
  29. Proof of Dirichlet principle for the first boundary value problem of the nonlinear theory of elasticity

    Dokl. Akad. Nauk SSSR, 146:1 (1962),  54–57
  30. Models with finite numbers of degrees of freedom for a certain class of problems in mathematical physics (difference schemes with conservation law)

    Dokl. Akad. Nauk SSSR, 142:3 (1962),  572–575
  31. On a necessary and sufficient condition which can be used as a test that a given function belongs to the class $W_p^{(1)}$ of Sobolev

    Dokl. Akad. Nauk SSSR, 121:5 (1958),  795–796
  32. Boundary problems and biorthogonal expansions in Banach spaces

    Dokl. Akad. Nauk SSSR, 119:5 (1958),  865–867
  33. Propagation of limit equilibrium in the axially-symmetrical twodimensional elastic-loose body case

    Dokl. Akad. Nauk SSSR, 118:5 (1958),  882–883
  34. The first boundary problem for a non-linear elliptic equation of the second order in a bounded domain with a degenerate boundary

    Dokl. Akad. Nauk SSSR, 115:1 (1957),  42–44

  35. Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics

    Uspekhi Mat. Nauk, 39:2(236) (1984),  217–221

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