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Vishik Marko Iosifovich

Publications in Math-Net.Ru

  1. Regular attractors and nonautonomous perturbations of them

    Mat. Sb., 204:1 (2013),  3–46
  2. Trajectory attractors of equations of mathematical physics

    Uspekhi Mat. Nauk, 66:4(400) (2011),  3–102
  3. Trajectory attractors of reaction-diffusion systems with small diffusion

    Mat. Sb., 200:4 (2009),  3–30
  4. On convergence of trajectory attractors of the 3D Navier–Stokes-$\alpha$ model as $\alpha$ approaches 0

    Mat. Sb., 198:12 (2007),  3–36
  5. Attractors of dissipative hyperbolic equations with singularly oscillating external forces

    Mat. Zametki, 79:4 (2006),  522–545
  6. Non-autonomous Ginzburg–Landau equation and its attractors

    Mat. Sb., 196:6 (2005),  17–42
  7. Kolmogorov $\varepsilon$-Entropy in Problems on Global Attractors of Evolution Equations of Mathematical Physics

    Probl. Peredachi Inf., 39:1 (2003),  4–23
  8. Approximation of trajectories lying on a global attractor of a hyperbolic equation with exterior force rapidly oscillating in time

    Mat. Sb., 194:9 (2003),  3–30
  9. Trajectory and Global Attractors of Three-Dimensional Navier–Stokes Systems

    Mat. Zametki, 71:2 (2002),  194–213
  10. Quantitative homogenization of global attractors for hyperbolic wave equations with rapidly oscillating coefficients

    Uspekhi Mat. Nauk, 57:4(346) (2002),  75–94
  11. Averaging of trajectory attractors of evolution equations with rapidly oscillating terms

    Mat. Sb., 192:1 (2001),  13–50
  12. Regular attractor for a non-linear elliptic system in a cylindrical domain

    Mat. Sb., 190:6 (1999),  23–58
  13. Kolmogorov $\varepsilon$-entropy estimates for the uniform attractors of non-autonomous reaction-diffusion systems

    Mat. Sb., 189:2 (1998),  81–110
  14. The trajectory attractor of a non-linear elliptic system in a cylindrical domain

    Mat. Sb., 187:12 (1996),  21–56
  15. Trajectory attractors of evolution equations without unique solvability of the Cauchy problem

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1996, no. 6,  27–30
  16. Attractors of periodic processes and estimates of their dimension

    Mat. Zametki, 57:2 (1995),  181–202
  17. Attractors of nonautonomous dynamical systems and an estimation of their dimension

    Mat. Zametki, 51:6 (1992),  141–143
  18. Asymptotics of the elements of attractors corresponding to singularly perturbed parabolic equations

    Mat. Sb., 182:12 (1991),  1769–1785
  19. Asymptotics of trajectories lying on the attractor of a singularly perturbed parabolic equation

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1991, no. 6,  11–16
  20. Some unsolved problems in the theory of differential equations and mathematical physics

    Uspekhi Mat. Nauk, 44:4(268) (1989),  191–202
  21. Spectral and stabilized asymptotic behaviour of solutions of non-linear evolution equations

    Uspekhi Mat. Nauk, 43:5(263) (1988),  99–132
  22. Attractors of parabolic and hyperbolic equations, the character of their compactness and attraction

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1988, no. 3,  71–73
  23. The behavior as $t\to+\infty$ of solutions of nonlinear evolution equations depending on a parameter

    Dokl. Akad. Nauk SSSR, 295:4 (1987),  786–790
  24. On unstable sets of evolution equations in the neighborhood of critical points of a stationary curve

    Izv. Akad. Nauk SSSR Ser. Mat., 51:1 (1987),  44–78
  25. Unstable invariant sets of semigroups of non-linear operators and their perturbations

    Uspekhi Mat. Nauk, 41:4(250) (1986),  3–34
  26. Perturbations of quasilinear elliptic equations and Fredholm manifolds

    Mat. Sb. (N.S.), 130(172):2(6) (1986),  222–242
  27. Stationary curves and unstable invariant manifolds near critical points of evolution equations, depending on the parameter

    Dokl. Akad. Nauk SSSR, 280:1 (1985),  19–23
  28. Maximal attractors of semigroups corresponding to evolution differential equations

    Mat. Sb. (N.S.), 126(168):3 (1985),  397–419
  29. Quasilinear elliptic equations and Fredholm manifolds

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1985, no. 6,  23–30
  30. The dimension of attractors of the Navier–Stokes system and other evolution equations

    Dokl. Akad. Nauk SSSR, 271:6 (1983),  1289–1293
  31. Kolmogorov equations corresponding to a two-dimensional stochastic Navier–Stokes system

    Tr. Mosk. Mat. Obs., 46 (1983),  3–43
  32. Attractors of partial differential evolution equations and estimates of their dimension

    Uspekhi Mat. Nauk, 38:4(232) (1983),  133–187
  33. Upper and lower bounds of the dimension of attractors of evolution partial differential equations

    Sibirsk. Mat. Zh., 24:5 (1983),  15–30
  34. Attractors of quasilinear parabolic equations

    Dokl. Akad. Nauk SSSR, 264:4 (1982),  780–784
  35. Existence of and an estimate for the dimension of attractors in quasilinear parabolic equations, and Navier–Stokes systems

    Uspekhi Mat. Nauk, 37:3(225) (1982),  173–174
  36. Attractors of Navier–Stokes systems and of parabolic equations, and estimates for their dimensions

    Zap. Nauchn. Sem. LOMI, 115 (1982),  3–15
  37. Individual and statistical solutions of the two-dimensional Euler system

    Dokl. Akad. Nauk SSSR, 261:4 (1981),  780–785
  38. On a stochastic Navier–Stokes system and the corresponding Kolmogorov equations

    Dokl. Akad. Nauk SSSR, 257:6 (1981),  1298–1301
  39. Weak solutions of the inverse Kolmogorov equation corresponding to the stochastic Navier–Stokes system

    Uspekhi Mat. Nauk, 36:3(219) (1981),  205–206
  40. Translationally homogeneous solutions of a stochastic Navier–Stokes system

    Dokl. Akad. Nauk SSSR, 246:5 (1979),  1037–1041
  41. Some mathematical problems of statistical hydromechanics

    Uspekhi Mat. Nauk, 34:5(209) (1979),  135–210
  42. Space-time statistical solutions of the Navier-Stokes system which are homogeneous in $x$, and individual solutions with infinite energy

    Dokl. Akad. Nauk SSSR, 239:5 (1978),  1025–1028
  43. Translationally homogeneous statistical solutions and individual solutions with infinite energy of a system of Navier–Stokes equations

    Sibirsk. Mat. Zh., 19:5 (1978),  1005–1031
  44. Infinite-dimensional parabolic equations connected with stochastic partial differential equations

    Dokl. Akad. Nauk SSSR, 233:5 (1977),  769–772
  45. Homogeneous statistical solutions of the Navier–Stokes system

    Uspekhi Mat. Nauk, 32:5(197) (1977),  179–180
  46. The Cauchy problem for the Hopf equation corresponding to parabolic equations. Statistical solutions and moment functions

    Dokl. Akad. Nauk SSSR, 227:5 (1976),  1041–1044
  47. The Cauchy problem for the Hopf equation corresponding to a quasi-linear parabolic equation

    Dokl. Akad. Nauk SSSR, 224:1 (1975),  23–26
  48. The Cauchy problem for nonlinear Schrödinger-type equations

    Mat. Sb. (N.S.), 96(138):3 (1975),  458–470
  49. Analytic first integrals of non-linear parabolic systems of differential equations in the sense of Petrovskii, and applications

    Uspekhi Mat. Nauk, 29:2(176) (1974),  123–153
  50. Asymptotic expansion of moment functions of solutions of nonlinear parabolic equations

    Mat. Sb. (N.S.), 95(137):4(12) (1974),  588–605
  51. Some questions in the theory of nonlinear elliptic and parabolic equations

    Mat. Sb. (N.S.), 94(136):2(6) (1974),  300–334
  52. Fundamental solutions of infinite-dimensional elliptic operators of arbitrary order with constant coefficients

    Dokl. Akad. Nauk SSSR, 208:4 (1973),  764–767
  53. Analytic first integrals of nonlinear parabolic equations and their applications

    Mat. Sb. (N.S.), 92(134):3(11) (1973),  347–377
  54. Boundary value problems for second-order elliptic and parabolic operators on infinite-dimensional manifolds with boundary

    Mat. Sb. (N.S.), 90(132):3 (1973),  331–371
  55. The parametrix of elliptic operators with infinitely many independent variables

    Uspekhi Mat. Nauk, 26:2(158) (1971),  155–174
  56. On a class of pseudodifferential operators with an infinite number of variables, and applications

    Mat. Sb. (N.S.), 86(128):3(11) (1971),  446–494
  57. Elliptic boundary value problems that are degenerate on a submanifold of the boundary

    Dokl. Akad. Nauk SSSR, 190:2 (1970),  255–258
  58. Degenerating elliptic differential and psevdo-differential operators

    Uspekhi Mat. Nauk, 25:4(154) (1970),  29–56
  59. Elliptic pseudodifferential operators on a closed manifold which are degenerate on a submanifold

    Dokl. Akad. Nauk SSSR, 189:1 (1969),  16–19
  60. Boundary value problems for elliptic equations degenerate on the boundary of a domain

    Mat. Sb. (N.S.), 80(122):4(12) (1969),  455–491
  61. On a class of higher order degenerate elliptic equations

    Mat. Sb. (N.S.), 79(121):1(5) (1969),  3–36
  62. Sobolev–Slobodeckii spaces of variable order with weighted norms, and their applications to mixed boundary value problems

    Sibirsk. Mat. Zh., 9:5 (1968),  973–997
  63. Convolution equations of variable order

    Tr. Mosk. Mat. Obs., 16 (1967),  25–50
  64. Elliptic equations in convolution in a bounded domain and their applications

    Uspekhi Mat. Nauk, 22:1(133) (1967),  15–76
  65. Normally solvable problems for elliptic systems of equations in convolutions

    Mat. Sb. (N.S.), 74(116):3 (1967),  326–356
  66. Parabolic convolution equations in a bounded region

    Mat. Sb. (N.S.), 71(113):2 (1966),  162–190
  67. Convolution equations in a bounded region in spaces with weight norms

    Mat. Sb. (N.S.), 69(111):1 (1966),  65–110
  68. Equations in convolutions in a bounded region

    Uspekhi Mat. Nauk, 20:3(123) (1965),  89–152
  69. General boundary-value problems wtih discontinuous boundary conditions

    Dokl. Akad. Nauk SSSR, 158:1 (1964),  25–28
  70. Singular elliptic equations and systems of variable order

    Dokl. Akad. Nauk SSSR, 156:2 (1964),  243–246
  71. Boundary-value problems for general singular equations in a bounded domain

    Dokl. Akad. Nauk SSSR, 155:1 (1964),  24–27
  72. The Gor'kii Mathematical Seminar on Homotopic Topology

    Uspekhi Mat. Nauk, 19:6(120) (1964),  237–238
  73. General parabolic integro-differential equations

    Uspekhi Mat. Nauk, 19:6(120) (1964),  224–226
  74. Elliptic problems with a parameter and parabolic problems of general type

    Uspekhi Mat. Nauk, 19:3(117) (1964),  53–161
  75. On the solvability of the first boundary-value problem for quasi-linear equations with coefficients of rapid growth in Orlicz classes

    Dokl. Akad. Nauk SSSR, 151:4 (1963),  758–761
  76. Elliptic boundary-value problems depending on a parameter

    Dokl. Akad. Nauk SSSR, 149:2 (1963),  223–226
  77. Quasi-linear strongly elliptic systems of differential equations of divergence form

    Tr. Mosk. Mat. Obs., 12 (1963),  125–184
  78. Parabolic boundary-value problems

    Uspekhi Mat. Nauk, 18:1(109) (1963),  206–208
  79. Quasilinear elliptic systems of equations containing subordinate terms

    Dokl. Akad. Nauk SSSR, 144:1 (1962),  13–16
  80. Solubility of boundary-value problems for quasi-linear parabolic equations of higher orders

    Mat. Sb. (N.S.), 59(101) (supplementary) (1962),  289–325
  81. Boundary-value problems for quasi-linear parabolic systems of equations and the Cauchy problem for hyperbolic equations

    Dokl. Akad. Nauk SSSR, 140:5 (1961),  998–1001
  82. Boundary-value problems for quasilinear strongly elliptic systems of equations having divergence form

    Dokl. Akad. Nauk SSSR, 138:3 (1961),  518–521
  83. Solution of a system of quasilinear equations having divergence form, under periodic boundary conditions

    Dokl. Akad. Nauk SSSR, 137:3 (1961),  502–505
  84. On the solvability of the first boundary value problem for nonlinear elliptic systems of differential equations

    Dokl. Akad. Nauk SSSR, 134:4 (1960),  749–752
  85. Initial jump for nonlinear differential equations containing a small parameter

    Dokl. Akad. Nauk SSSR, 132:6 (1960),  1242–1245
  86. Perturbation of eigenvalues and eigenelements for some non-selfadjoined operators

    Dokl. Akad. Nauk SSSR, 130:2 (1960),  251–253
  87. The asymptotic behaviour of solutions of linear differential equations with large or quickly changing coefficients and boundary conditions

    Uspekhi Mat. Nauk, 15:4(94) (1960),  27–95
  88. The solution of some perturbation problems for matrices and selfadjoint or non-selfadjoint differential equations. I

    Uspekhi Mat. Nauk, 15:3(93) (1960),  3–80
  89. On the asymptotic behaviour of the solutions of boundary problems for quasilinear differential equations

    Dokl. Akad. Nauk SSSR, 121:5 (1958),  778–781
  90. The asymptotic of the solutions of certain boundary problems with oscillating boundary conditions

    Dokl. Akad. Nauk SSSR, 120:1 (1958),  13–16
  91. The asymptotic of the solutions of problems involving rapidly oscillating boundary conditions for partial differential equations

    Dokl. Akad. Nauk SSSR, 119:4 (1958),  636–639
  92. On some even order elliptic equations containing small parameters in higher derivative terms and degenerating into equations of order one or, generally, of an odd order

    Dokl. Akad. Nauk SSSR, 113:5 (1957),  962–965
  93. On elliptical equations containing small parameters in the terms with higher derivatives

    Dokl. Akad. Nauk SSSR, 113:4 (1957),  734–737
  94. Regular degeneration and boundary layer for linear differential equations with small parameter

    Uspekhi Mat. Nauk, 12:5(77) (1957),  3–122
  95. Boundary value problems for partial differential equations and certain classes of operator equations

    Uspekhi Mat. Nauk, 11:6(72) (1956),  41–97
  96. The problem of Cauchy with operators as coefficients, the mixed boundary problem for systems of differential equations and an approximate method of their solution

    Mat. Sb. (N.S.), 39(81):1 (1956),  51–148
  97. Boundary problems for elliptic equations degenerating on the boundary of a region

    Mat. Sb. (N.S.), 35(77):3 (1954),  513–568
  98. On systems of elliptic differential equations and their general boundary problems

    Uspekhi Mat. Nauk, 8:1(53) (1953),  181–187
  99. On general boundary problems for elliptic differential equations

    Tr. Mosk. Mat. Obs., 1 (1952),  187–246
  100. On an inequality for the boundary values of harmonic functions in a sphere

    Uspekhi Mat. Nauk, 6:2(42) (1951),  165–166
  101. On strongly elliptic systems of differential equations

    Mat. Sb. (N.S.), 29(71):3 (1951),  615–676
  102. The method of orthogonal and direct decomposition in the theory of elliptic differential equations

    Mat. Sb. (N.S.), 25(67):2 (1949),  189–234

  103. Boris Vasil'evich Fedosov (obituary)

    Uspekhi Mat. Nauk, 67:1(403) (2012),  169–176
  104. Vladimir Gilelevich Maz'ya (to his 70th brithday)

    Uspekhi Mat. Nauk, 63:1(379) (2008),  183–189
  105. Leonid Romanovich Volevich (obituary)

    Uspekhi Mat. Nauk, 62:6(378) (2007),  157–160
  106. Leonid Romanovich Volevich (on his 70th birthday)

    Uspekhi Mat. Nauk, 59:5(359) (2004),  175–182
  107. Olga Aleksandrovna Ladyzhenskaya (obituary)

    Uspekhi Mat. Nauk, 59:3(357) (2004),  151–152
  108. Mikhail Semenovich Agranovich (on his 70th birthday)

    Uspekhi Mat. Nauk, 56:4(340) (2001),  163–168
  109. Victor Borisovich Lidskii (on his 75th birthday)

    Uspekhi Mat. Nauk, 54:5(329) (1999),  197–203
  110. Yurii Vladimirovich Egorov (on his 60th birthday)

    Uspekhi Mat. Nauk, 54:2(326) (1999),  195–204
  111. Evgenii Mikhailovich Landis (obituary)

    Uspekhi Mat. Nauk, 53:6(324) (1998),  233–238
  112. Sergei Mikhailovich Kozlov (obituary)

    Uspekhi Mat. Nauk, 51:4(310) (1996),  145–146
  113. Ivan Il'ich Danilyuk (obituary)

    Uspekhi Mat. Nauk, 44:5(269) (1989),  141–147
  114. Aleksandr Ivanovich Koshelev (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 42:5(257) (1987),  225–226
  115. Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics

    Uspekhi Mat. Nauk, 42:3(255) (1987),  221–228
  116. Andrei Vasil'evich Bitsadze (on his seventieth birthday)

    Uspekhi Mat. Nauk, 42:3(255) (1987),  219–220
  117. Sessions of the Petrovskii seminar on differential equations and mathemathical problems of physics

    Uspekhi Mat. Nauk, 40:5(245) (1985),  295–307
  118. Ol'ga Arsen'evna Oleinik (on her sixtieth birthday)

    Uspekhi Mat. Nauk, 40:5(245) (1985),  279–293
  119. Evgenii Mikhailovich Landis (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 38:2(230) (1983),  219–224
  120. Yaroslav Borisovich Lopatinskii (obituary)

    Uspekhi Mat. Nauk, 37:3(225) (1982),  167–169
  121. Lazar' Aronovich Lyusternik (on his eightieth birthday)

    Uspekhi Mat. Nauk, 35:6(216) (1980),  3–10
  122. Il'ya Nestorovich Vekua (on his seventieth birthday)

    Uspekhi Mat. Nauk, 32:2(194) (1977),  3–21
  123. Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics

    Uspekhi Mat. Nauk, 30:2(182) (1975),  261–269
  124. Lazar' Aronovich Lyusternik (on the occasion of his seventieth birthday)

    Uspekhi Mat. Nauk, 25:4(154) (1970),  3–10
  125. Izrail' Moiseevich Gelfand (on his fiftieth birthday)

    Uspekhi Mat. Nauk, 19:3(117) (1964),  187–205
  126. Lazar' Aronovich Lyusternik (on the occasion of his 60th birthday)

    Uspekhi Mat. Nauk, 15:2(92) (1960),  215–230
  127. Sergei L'vovich Sobolev (on his 50th birthday)

    Uspekhi Mat. Nauk, 14:3(87) (1959),  203–204
  128. I. M. Gel'fand Seminar on Functional Analysis and Mathematical Physics in Moscow State University

    Uspekhi Mat. Nauk, 13:2(80) (1958),  253–263

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