RUS  ENG
Full version
PEOPLE

Solonnikov Vsevolod Alekseevich

Publications in Math-Net.Ru

  1. Evolution free boundary problem for the Navier–Stokes equations

    Algebra i Analiz, 36:3 (2024),  213–238
  2. Stability of the rotation of a two-phase drop with self-gravity

    Zap. Nauchn. Sem. POMI, 508 (2021),  89–123
  3. $L_p$-estimates of solution of the free boundary problem for viscous compressible and incompressible fluids in the linear approximation

    Algebra i Analiz, 32:3 (2020),  254–291
  4. $ L_2$-theory for two viscous fluids of different types: Compressible and incompressible

    Algebra i Analiz, 32:1 (2020),  121–186
  5. Local solvability of free boundary problem for viscous compressible and incompressible fluids in the spaces $W_p^{2+l,1+l/2}(Q_T)$, $p>2$

    Zap. Nauchn. Sem. POMI, 489 (2020),  96–112
  6. On the model problem arising in the study of motion of viscous compressible and incompressible fluids with a free interface

    Algebra i Analiz, 30:2 (2018),  274–317
  7. Proof of Schauder estimates for parabolic initial-boundary value model problems via O. A. Ladyzhenskaya's Fourier multipliers theorem

    Zap. Nauchn. Sem. POMI, 444 (2016),  133–156
  8. On the solvability of initial-boundary value problems for a viscous compressible fluid in an infinite time interval

    Algebra i Analiz, 27:3 (2015),  238–271
  9. On the proof of the solvability of a linear problem arising in magnetohydrodynamics with the method of integral equations

    Algebra i Analiz, 26:6 (2014),  172–197
  10. Solvability of a free boundary problem of magnetohydrodynamics in an infinite time interval

    Zap. Nauchn. Sem. POMI, 410 (2013),  131–167
  11. The linearization principle for a free boundary problem for viscous, capillary incompressible fluids

    Zap. Nauchn. Sem. POMI, 410 (2013),  36–103
  12. $L_p$-estimates of solutions of a linear problem arising in magnetohydrodynamics

    Algebra i Analiz, 23:1 (2011),  232–254
  13. On some stationary problems of magnetohydrodynamics in multi-connected domains

    Zap. Nauchn. Sem. POMI, 397 (2011),  126–149
  14. Global solvability of a problem governing the motion of two incompressible capillary fluids in a container

    Zap. Nauchn. Sem. POMI, 397 (2011),  20–52
  15. On the linear problem arising in the study of a free boundary problem for the Navier–Stokes equations

    Algebra i Analiz, 22:6 (2010),  235–269
  16. On the free boundary problem of magnetohydrodynamics

    Zap. Nauchn. Sem. POMI, 385 (2010),  135–186
  17. Instability of rotating fluid

    Zap. Nauchn. Sem. POMI, 370 (2009),  160–183
  18. On the justification of the quasistationary approximation for the Stefan problem

    Zap. Nauchn. Sem. POMI, 348 (2007),  209–253
  19. On the stability of uniformly rotating viscous incompressible self-gravitating liquid

    Zap. Nauchn. Sem. POMI, 348 (2007),  165–208
  20. Weighted estimates of a solution to the linear problem connected with one-phase Stefan problem in the case of the specific heat tends to zero

    Zap. Nauchn. Sem. POMI, 336 (2006),  239–263
  21. Estimates of the solution of model evolution generalized Stokes problem in weighted Hölder spaces

    Zap. Nauchn. Sem. POMI, 336 (2006),  211–238
  22. Stability of axis-symmetric equilibrium figures of viscous incompressible liquid

    Algebra i Analiz, 16:2 (2004),  120–153
  23. On instability of axially symmetric equilibrium figures of rotating viscous incompressible liquid

    Zap. Nauchn. Sem. POMI, 318 (2004),  277–297
  24. Boundary partial regularity for the Navier–Stokes equations

    Zap. Nauchn. Sem. POMI, 310 (2004),  158–190
  25. On the Problem of Evolution of an Isolated Liquid Mass

    CMFD, 3 (2003),  43–62
  26. On estimates of solutions of the non-stationary Stokes problem in anisotropic Sobolev spaces and on estimates for the resolvent of the Stokes operator

    Uspekhi Mat. Nauk, 58:2(350) (2003),  123–156
  27. Classical solvability of a problem governing the motion of an isolated mass of a compressible fluid

    Algebra i Analiz, 14:1 (2002),  71–98
  28. Estimates of solutions of the Stokes equations in S. L. Sobolev spaces with a mixed norm

    Zap. Nauchn. Sem. POMI, 288 (2002),  204–231
  29. Generalized energy estimate in a free boundary problem for viscous incompressible fluid

    Zap. Nauchn. Sem. POMI, 282 (2001),  216–243
  30. On problems with free boundaries for second-order parabolic equations

    Algebra i Analiz, 12:6 (2000),  98–139
  31. Initial boundary-value problem for generalized Stokes equations in the half-space

    Zap. Nauchn. Sem. POMI, 271 (2000),  224–275
  32. Classical solvability of a model problem in a half-space related to the motion of an isolated mass of a compressible liquid

    Zap. Nauchn. Sem. POMI, 271 (2000),  92–113
  33. One-dimensional parabolic problem arising in the study of some free boundary problems

    Zap. Nauchn. Sem. POMI, 269 (2000),  322–338
  34. Estimates of solutions of the second initial-boundary problem for the Stokes system in the spaces of functions with Hölder continuous derivatives with respect to spatial variables

    Zap. Nauchn. Sem. POMI, 259 (1999),  254–279
  35. Solvability of a two-dimensional problem with a free boundary that describes the flow of a viscous incompressible fluid through a hole

    Algebra i Analiz, 9:2 (1997),  169–191
  36. On the estimate of maximum modulus of solution of stationary problem for the Navier–Stokes equations

    Zap. Nauchn. Sem. POMI, 249 (1997),  294–302
  37. Investigation of a problem governing a viscous compressible flow past a body in Hölder spaces

    Zap. Nauchn. Sem. POMI, 245 (1997),  247–269
  38. $L_p$-theory of the Stefan problem

    Zap. Nauchn. Sem. POMI, 243 (1997),  299–323
  39. Investigation of a problem governing a steady flow of the second grade fluid in the Hölder classes of functions

    Zap. Nauchn. Sem. POMI, 243 (1997),  154–168
  40. On a steady motion of a drop in an infinite liquid medium

    Zap. Nauchn. Sem. POMI, 233 (1996),  233–254
  41. Classical solvability of the problem of the motion of two viscous incompressible fluids

    Algebra i Analiz, 7:5 (1995),  101–142
  42. Estimates for solutions of the nonstationairy Stokes problem in anisotropic Sobolev spaces with mixed norm

    Zap. Nauchn. Sem. POMI, 222 (1995),  124–150
  43. On an initial boundary-value problem for the equation of magnetohydrodynamics with the Hall and ion-slip effects

    Zap. Nauchn. Sem. POMI, 221 (1995),  167–184
  44. Some model problems for second-order parabolic equations with a time derivative in the boundary conditions

    Algebra i Analiz, 6:6 (1994),  30–50
  45. Solvability of a model problem for the Stokes equations in an infinite edge

    Zap. Nauchn. Sem. POMI, 215 (1994),  285–300
  46. On free boundary problems with moving contact points for stationary two-dimensional Navier–Stokes equations

    Zap. Nauchn. Sem. POMI, 213 (1994),  179–205
  47. On a boundary value problem with discontinuous boundary conditions for Stokes and Navier–Stokes equations in the three-dimensional case

    Algebra i Analiz, 5:3 (1993),  252–270
  48. On the solvability of an initial-boundary value problem for a second-order parabolic equation with a time derivative in the boundary condition in a weighted Hölder space of functions

    Algebra i Analiz, 5:1 (1993),  109–142
  49. Solvability of some two-dimensional quasistationary free boundary problems for the Havier–Stokes equations with moving contact points

    Zap. Nauchn. Sem. POMI, 206 (1993),  119–126
  50. Problems in the hydrodynamics of a viscous incompressible fluid in domains with noncompact boundaries

    Algebra i Analiz, 4:6 (1992),  28–53
  51. Solvability of initial-boundary value problem for the equations of motion of a viscous compressible baratropic fluid in the spaces $W_2^{2+l,1+l/2}(Q_T)$

    Zap. Nauchn. Sem. POMI, 200 (1992),  177–186
  52. On two-dimensional initial-boundary value problem for the Navier–Stokes equations with discontinuous boundary data

    Zap. Nauchn. Sem. LOMI, 197 (1992),  159–178
  53. Solvability of a problem on the evolution of a viscous incompressible fluid, bounded by a free surface, on a finite time interval.

    Algebra i Analiz, 3:1 (1991),  222–257
  54. On a non-stationary problem in a dihedral angle. II

    Zap. Nauchn. Sem. LOMI, 188 (1991),  178–185
  55. Hölder spaces solvability of a model initial-boundary value problem generated by a problem on a motion of two fluids

    Zap. Nauchn. Sem. LOMI, 188 (1991),  5–44
  56. A problem with the third boundary condition for the Laplace equation in a plane angle and its applications to parabolic problems

    Algebra i Analiz, 2:4 (1990),  213–241
  57. An initial-boundary value problem for a Stokes system that arises in the study of a problem with a free boundary

    Trudy Mat. Inst. Steklov., 188 (1990),  150–188
  58. Investigation of a boundary value problem in a plane infinite wedge for the Laplacean with the boundary condition of a special type

    Zap. Nauchn. Sem. LOMI, 182 (1990),  149–167
  59. Free boundary problem for the Navier–Stokes equations for a compressible fluid with a surface tension

    Zap. Nauchn. Sem. LOMI, 182 (1990),  142–148
  60. An estimate for solutions of the Stokes equations in exteriour domains

    Zap. Nauchn. Sem. LOMI, 180 (1990),  105–120
  61. Unsteady motions of a finite isolated mass of a self-gravitating fluid

    Algebra i Analiz, 1:1 (1989),  207–249
  62. Solvability of a linearized problem on a motion of a drop in a fluid flow

    Zap. Nauchn. Sem. LOMI, 171 (1989),  53–65
  63. Reduction of basic initial-boundary value problems for the Navier–Stokes equations to initial-boundary value problems for nonlinear parabolic systems of pseudodifferential equations

    Zap. Nauchn. Sem. LOMI, 171 (1989),  36–52
  64. Solvability of a problem of the flow of a viscous incompressible fluid into an infinite open basin

    Trudy Mat. Inst. Steklov., 179 (1988),  174–202
  65. On the transient motion of an isolated volume of viscous incompressible fluid

    Izv. Akad. Nauk SSSR Ser. Mat., 51:5 (1987),  1065–1087
  66. Reduction of basic initial-boundary value problems for the Stokes equations to initial-boundary value problems for parabolic systems of pseudodifferential equations

    Zap. Nauchn. Sem. LOMI, 163 (1987),  37–48
  67. On an unsteady flow of a finite mass of a liquid bounded by a free surface

    Zap. Nauchn. Sem. LOMI, 152 (1986),  137–157
  68. Weighted $L_p$-estimates for singular integrals with anisotropic kernels

    Zap. Nauchn. Sem. LOMI, 147 (1985),  124–137
  69. On estimates for the solutions to the Dirichlet problem for the Laplacian in exterior domains

    Zap. Nauchn. Sem. LOMI, 146 (1985),  92–101
  70. Solvability of the problem of evolution of an isolated volume of viscous, incompressible capillary fluid

    Zap. Nauchn. Sem. LOMI, 140 (1984),  179–186
  71. On the solvability of classical initial boundary value problems for the heat equation in an unbounded wedge

    Zap. Nauchn. Sem. LOMI, 138 (1984),  146–180
  72. The initial-boundary value problem for the linearized Navier–Stokes equations in domains with noncompact boundaries

    Trudy Mat. Inst. Steklov., 159 (1983),  37–40
  73. On the Heumann problem for second order elliptic equations in domains with edges at the boundary

    Zap. Nauchn. Sem. LOMI, 127 (1983),  7–48
  74. Solutions of the stationary Navier–Stokes system of equations with an infinite Dirichlet integral

    Zap. Nauchn. Sem. LOMI, 115 (1982),  251–263
  75. On the solvability of initial-boundary value problems for quasilinear parabolic systems

    Zap. Nauchn. Sem. LOMI, 110 (1981),  225–234
  76. Estimates for solutions of parabolic initial-boundary value problems in weighted Hölder norms

    Trudy Mat. Inst. Steklov., 147 (1980),  147–155
  77. On the solvability of boundary and initial-boundary value problem for the Navier–Stokes equations in domains with noncompact boundaries

    Zap. Nauchn. Sem. LOMI, 96 (1980),  288–293
  78. On finding of solutions of the stationary Stokes and Navier–Stokes equations which have an unbounded Dirichlet integral

    Zap. Nauchn. Sem. LOMI, 96 (1980),  117–160
  79. Determination of the solutions of Navier–Stokes stationary boundary-value problems with infinite dissipation in unbounded regions

    Dokl. Akad. Nauk SSSR, 249:4 (1979),  828–831
  80. Solvability of a problem on the plane motion of a heavy viscous incompressible capillary liquid partially filling a container

    Izv. Akad. Nauk SSSR Ser. Mat., 43:1 (1979),  203–236
  81. Solvability of three-dimentional problem with a free boundary for the stationary system of Navier–Stokes equations

    Zap. Nauchn. Sem. LOMI, 84 (1979),  252–285
  82. Solvability of a problem on the motion of a viscous incompressible fluid bounded by a free surface

    Izv. Akad. Nauk SSSR Ser. Mat., 41:6 (1977),  1388–1424
  83. Certain spaces of solenoidal vectors and the solvability of the boundary problem for the Navier–Stokes system of equations in domains with noncompact boundaries

    Zap. Nauchn. Sem. LOMI, 73 (1977),  136–151
  84. The solvability of the second initial boundary-value problem for the linear, time-dependent system of Navier–Stokes equations

    Zap. Nauchn. Sem. LOMI, 69 (1977),  200–218
  85. An estimate of the maximum modulus of a solution of the linear, time-dependent system of Navier–Stokes equations

    Zap. Nauchn. Sem. LOMI, 69 (1977),  34–44
  86. Estimates of solutions of an initial- and boundary-value problem for the linear nonstationary Navier–Stokes system

    Zap. Nauchn. Sem. LOMI, 59 (1976),  178–254
  87. Some problems of vector analysis and generalized formulations of boundary-value problems for the Navier–Stokes equations

    Zap. Nauchn. Sem. LOMI, 59 (1976),  81–116
  88. On the solvability of the initial-boundary problem for the equation of motion of the viscosity compressible fluid

    Zap. Nauchn. Sem. LOMI, 56 (1976),  128–142
  89. A study of overdetermined elliptic boundary value problems in K. K. Golovkin's fractional spaces

    Trudy Mat. Inst. Steklov., 127 (1975),  93–114
  90. Estimations of the solutions of a certain boundary value problem of magnetohydrodynamics

    Trudy Mat. Inst. Steklov., 127 (1975),  76–92
  91. On unique solvability of initial-boundary value problem for viscous incompessible inhomogeneous liquids

    Zap. Nauchn. Sem. LOMI, 52 (1975),  52–109
  92. On a class of Noetheriah overdetermined elliptic boundary value problems

    Zap. Nauchn. Sem. LOMI, 47 (1974),  138–154
  93. On differential properties of weak solutions of quasilinear equations

    Zap. Nauchn. Sem. LOMI, 39 (1974),  110–119
  94. A certain boundary value problem for the stationary system of Navier–Stokes equations

    Trudy Mat. Inst. Steklov., 125 (1973),  196–210
  95. Estimates for solutions of nonstationary Navier–Stokes equations

    Zap. Nauchn. Sem. LOMI, 38 (1973),  153–231
  96. On a principle of linearization and invariant manifolds for problems of magnetic hydrodynamics

    Zap. Nauchn. Sem. LOMI, 38 (1973),  46–93
  97. The differential properties of weak solutions of quasilinear elliptic equations

    Zap. Nauchn. Sem. LOMI, 30 (1972),  174–175
  98. On certain inequalities for functions belonging to $\vec W_{p}(R^n)$-classes

    Zap. Nauchn. Sem. LOMI, 27 (1972),  194–210
  99. On overdetermined elliptic boundary value problems

    Dokl. Akad. Nauk SSSR, 199:2 (1971),  279–281
  100. The Green's matrices for elliptic boundary value problems. II

    Trudy Mat. Inst. Steklov., 116 (1971),  181–216
  101. On a question concerning equivalent right regularisator

    Zap. Nauchn. Sem. LOMI, 22 (1971),  192–195
  102. On operators admitting regularization

    Zap. Nauchn. Sem. LOMI, 21 (1971),  159–163
  103. Overdetermined elliptic boundary value problems

    Zap. Nauchn. Sem. LOMI, 21 (1971),  112–158
  104. The Green's matrices for elliptic boundary value problems. I

    Trudy Mat. Inst. Steklov., 110 (1970),  107–145
  105. Green matrices for parabolic initial boundary value problems

    Zap. Nauchn. Sem. LOMI, 14 (1969),  256–287
  106. On the complementing condition for overdetermined systems

    Zap. Nauchn. Sem. LOMI, 14 (1969),  237–255
  107. Estimates of solutions of parabolic initial-boundary value problems in weighted $L_p$-norms and pointwise estimates

    Zap. Nauchn. Sem. LOMI, 14 (1969),  212–236
  108. On some estimates of convolutions

    Zap. Nauchn. Sem. LOMI, 7 (1968),  6–86
  109. Estimates in $L_{p}$ of solutions of elliptic and parabolic systems

    Trudy Mat. Inst. Steklov., 102 (1967),  137–160
  110. General boundary value problems for Douglis–Nirenberg elliptic systems. II

    Trudy Mat. Inst. Steklov., 92 (1966),  233–297
  111. Estimates of integral operators in translation-invariant norms. II

    Trudy Mat. Inst. Steklov., 92 (1966),  5–30
  112. On boundary value problems for linear parabolic systems of differential equations of general form

    Trudy Mat. Inst. Steklov., 83 (1965),  3–163
  113. Estimates of fundamental matrices for general parabolic systems with constant coeffecients

    Dokl. Akad. Nauk SSSR, 158:3 (1964),  532–535
  114. Boundary-value problems for general linear parabolic systems

    Dokl. Akad. Nauk SSSR, 157:1 (1964),  56–59
  115. General boundary value problems for systems elliptic in the sense of A. Douglis and L. Nirenberg. I

    Izv. Akad. Nauk SSSR Ser. Mat., 28:3 (1964),  665–706
  116. On the differential properties of the solution of the first boundary-value problem for a non-stationary system of Navier–Stokes equations

    Trudy Mat. Inst. Steklov., 73 (1964),  221–291
  117. Estimates for solutions of a non-stationary linearized system of Navier–Stokes equations

    Trudy Mat. Inst. Steklov., 70 (1964),  213–317
  118. A priori estimates for solutions of second-order equations of parabolic type

    Trudy Mat. Inst. Steklov., 70 (1964),  133–212
  119. Bounds for integral operators in translation-invariant norms

    Trudy Mat. Inst. Steklov., 70 (1964),  47–58
  120. Bounds for the solutions of general boundary-value problems for elliptic systems

    Dokl. Akad. Nauk SSSR, 151:4 (1963),  783–785
  121. Imbedding theorems for fractional spaces

    Dokl. Akad. Nauk SSSR, 143:4 (1962),  767–770
  122. Some properties of differentiable functions of several variables

    Trudy Mat. Inst. Steklov., 66 (1962),  205–226
  123. The first boundary-value problem for the non-stationary Navier–Stokes equations

    Dokl. Akad. Nauk SSSR, 140:2 (1961),  287–290
  124. A priori estimates for certain boundary-value problems

    Dokl. Akad. Nauk SSSR, 138:4 (1961),  781–784
  125. Some properties of differentiable functions of many variables

    Dokl. Akad. Nauk SSSR, 136:3 (1961),  538–541
  126. Certain properties of fractional order $\mathfrak{W}_p^l$ spaces

    Dokl. Akad. Nauk SSSR, 134:2 (1960),  282–285
  127. On estimates of Green's tensors for certain boundary problems

    Dokl. Akad. Nauk SSSR, 130:5 (1960),  988–991
  128. Some stationary boundary-value problems of magnetohydrodynamics

    Trudy Mat. Inst. Steklov., 59 (1960),  174–187
  129. Solution of some non-stationary problems of magnetohydrodynamics for a viscous incompressible fluid

    Trudy Mat. Inst. Steklov., 59 (1960),  115–173
  130. Linear differential equations with a small parameter in the highest derivative term

    Dokl. Akad. Nauk SSSR, 119:3 (1958),  454–457

  131. Olga Aleksandrovna Ladyzhenskaya (obituary)

    Uspekhi Mat. Nauk, 59:3(357) (2004),  151–152
  132. Errata

    Trudy Mat. Inst. Steklov., 70 (1964),  318
  133. Поправки к статье “О некоторых свойствах дифференцируемых функций многих переменных” (ДАН, т. 136, № 3, 1961 г.)

    Dokl. Akad. Nauk SSSR, 138:6 (1961),  1254


© Steklov Math. Inst. of RAS, 2025