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Ladyzhenskaya Olga Aleksandrovna

Publications in Math-Net.Ru

  1. Sixth problem of the millennium: Navier–Stokes equations, existence and smoothness

    Uspekhi Mat. Nauk, 58:2(350) (2003),  45–78
  2. On a constraction of basises in spaces of solenoidal vector-valued fields

    Zap. Nauchn. Sem. POMI, 306 (2003),  92–106
  3. On coersitive estimates for solutions to the linear systems of hydrodynamical type

    Zap. Nauchn. Sem. POMI, 288 (2002),  104–133
  4. Relationship between the Stokes problem and decompositions of the spaces $\mathring W_2^1$ and $W_2^{(-1)}$

    Algebra i Analiz, 13:4 (2001),  119–133
  5. On multiplicators in Hölder spaces with nonhomogeneous metrics

    Zap. Nauchn. Sem. POMI, 271 (2000),  156–174
  6. On some gaps in two my publications on the Navier–Stokes equations and their improvements

    Zap. Nauchn. Sem. POMI, 271 (2000),  151–155
  7. On reqularity of solutions to two-dimensional equations of the dynamics of fluids with nonlinear viscosity

    Zap. Nauchn. Sem. POMI, 259 (1999),  145–166
  8. On a modification of Gehring lemma

    Zap. Nauchn. Sem. POMI, 259 (1999),  7–18
  9. Smoothness of solutions of equations describing generalized Newtonian flows and estimates for the dimensions of their attractors

    Izv. RAN. Ser. Mat., 62:1 (1998),  59–122
  10. Estimates for first-order derivatives for solutions of some classes of non-totally parabolic equations

    Algebra i Analiz, 9:6 (1997),  109–131
  11. Estimation of the second derivatives on the boundary for surfaces evolving under the action of their principal curvatures

    Algebra i Analiz, 9:2 (1997),  30–50
  12. On the smoothness of solutions of systems describing the flow of generalized Newtonian fluids and the estimation of the dimensions of their attractors

    Dokl. Akad. Nauk, 354:5 (1997),  590–592
  13. On a global unique solvability of some two-dimensional problems for the water solutions of polymers

    Zap. Nauchn. Sem. POMI, 243 (1997),  138–153
  14. On viscosity solutions for non-totally parabolic fully nonlinear equations

    Zap. Nauchn. Sem. POMI, 233 (1996),  112–130
  15. The first initial-boundary value problem for evolution equations generated by symmetric functions of principal curvatures

    Dokl. Akad. Nauk, 340:2 (1995),  155–157
  16. Flows generated by symmetric functions of the eigenvalues of the Hessian

    Zap. Nauchn. Sem. POMI, 221 (1995),  127–144
  17. Parabolic equations generated by symmetric functions of the eigenvalues of the Hessian or by the principal curvatures of a surface. I. Parabolic Monge-Ampére equations

    Algebra i Analiz, 6:3 (1994),  141–160
  18. The first initial-boundary value problem for evolution equations generated by traces of order $m$ of the Hessian of the unknown surface

    Dokl. Akad. Nauk, 337:3 (1994),  300–303
  19. Local estimates of the gradients of solution to a simplest regularisation for some class of nonuniformly elliptic

    Zap. Nauchn. Sem. POMI, 213 (1994),  75–92
  20. New estimates for the Navier–Stokes equations and globally steady approximations

    Zap. Nauchn. Sem. POMI, 200 (1992),  98–109
  21. On some way of the approximation of solutions of initial boundary value problems for Navier–Stokes equations

    Zap. Nauchn. Sem. LOMI, 197 (1992),  87–119
  22. Some comments to my papers on the theory of attractors for abstract semigroups

    Zap. Nauchn. Sem. LOMI, 182 (1990),  102–112
  23. Triviality of harmonic mappings of finite energy of the Euclidean spaces $R^m$, $m>3$, into Riemannian manifolds

    Algebra i Analiz, 1:2 (1989),  114–115
  24. Attractors for the quasilinear second order parabolic equations of general form

    Zap. Nauchn. Sem. LOMI, 171 (1989),  163–173
  25. Estimates on the boundary of the domain of first derivatives of functions satisfying an elliptic or a parabolic inequality

    Trudy Mat. Inst. Steklov., 179 (1988),  102–125
  26. Minimal global $B$-attractors of semigroups and of initial-boundary value problems for nonlinear partial differential equations

    Dokl. Akad. Nauk SSSR, 294:1 (1987),  33–37
  27. On the determination of minimal global attractors for the Navier–Stokes and other partial differential equations

    Uspekhi Mat. Nauk, 42:6(258) (1987),  25–60
  28. A Lipschitz estimate at the boundary points for the solutions of quasilinear equations of divergence form

    Sibirsk. Mat. Zh., 28:4 (1987),  145–153
  29. Estimates of the fractal dimension and of the number of deterministic modes for invariant sets of dynamical sytsems

    Zap. Nauchn. Sem. LOMI, 163 (1987),  105–129
  30. A survey of results on the solubility of boundary-value problems for second-order uniformly elliptic and parabolic quasi-linear equations having unbounded singularities

    Uspekhi Mat. Nauk, 41:5(251) (1986),  59–83
  31. Some directions in the research carried out at the Laboratory of Mathematical Physics of the Leningrad Branch of the Institute of Mathematics

    Trudy Mat. Inst. Steklov., 175 (1986),  217–245
  32. On the attractors of nonlinear evolution problems

    Zap. Nauchn. Sem. LOMI, 152 (1986),  72–85
  33. Solvability of the first boundary value problem for quasilinear elliptic and parabolic equations in the presence of singularities

    Dokl. Akad. Nauk SSSR, 281:2 (1985),  275–279
  34. Estimates of Holder constants for functions satisfying a uniformly elliptic or uniformly parabolic quasilinear inequality with unbounded coefficients

    Zap. Nauchn. Sem. LOMI, 147 (1985),  72–94
  35. On estimates of $\max|u_x|$ for solutions of quasilinear elliptic and parabolic equations of the general type and on some existence theorems

    Zap. Nauchn. Sem. LOMI, 138 (1984),  90–107
  36. Spherically symmetric solutions of the euclidean Yang–Mills equations

    Zap. Nauchn. Sem. LOMI, 133 (1984),  126–132
  37. On Coleman's principle for finding the stationary points of quadratic functionals

    Dokl. Akad. Nauk SSSR, 270:3 (1983),  529–532
  38. The initial-boundary value problem for the linearized Navier–Stokes equations in domains with noncompact boundaries

    Trudy Mat. Inst. Steklov., 159 (1983),  37–40
  39. On the Coleman's principle concerning the stationary points of invariant functionals

    Zap. Nauchn. Sem. LOMI, 127 (1983),  84–102
  40. On the finite-dimensionality of bounded invariant sets for dissipative problems

    Dokl. Akad. Nauk SSSR, 263:4 (1982),  802–804
  41. Finite-dimensionality of bounded invariant sets for Navier–Stokes systems and other dissipative systems

    Zap. Nauchn. Sem. LOMI, 115 (1982),  137–155
  42. On the unique solvability of the Cauchy problem for the equations of two-dimensional relativistic chiral fields with values in a complete Riemannian manifold

    Zap. Nauchn. Sem. LOMI, 110 (1981),  81–94
  43. An estimate of the Hölder norm of solutions of quasilinear general elliptic equations of the second order

    Zap. Nauchn. Sem. LOMI, 96 (1980),  161–168
  44. 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
  45. 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
  46. On limiting regime for modified Navier–Stokes equations in three-dimensional space

    Zap. Nauchn. Sem. LOMI, 84 (1979),  131–146
  47. Stabilization of the solutions of a certain class of quasilinear parabolic equations as $t\to\infty$

    Sibirsk. Mat. Zh., 19:5 (1978),  1043–1052
  48. The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types

    Zap. Nauchn. Sem. LOMI, 69 (1977),  77–102
  49. On the evolution of measures defined by the Navier–Stokes equations, and on the solvability of the Cauchy problem for Hopf's statistical equation

    Dokl. Akad. Nauk SSSR, 226:1 (1976),  26–29
  50. 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
  51. The evolution of measures determined by the Navier–Stokes equations and on the solvability of the Cauchy problem for the Hopf statistical equation

    Zap. Nauchn. Sem. LOMI, 59 (1976),  3–24
  52. On unique solvability of initial-boundary value problem for viscous incompessible inhomogeneous liquids

    Zap. Nauchn. Sem. LOMI, 52 (1975),  52–109
  53. On a principle of linearization and invariant manifolds for problems of magnetic hydrodynamics

    Zap. Nauchn. Sem. LOMI, 38 (1973),  46–93
  54. Dynamical system generated by the Navier–Stokes equations

    Dokl. Akad. Nauk SSSR, 205:2 (1972),  318–320
  55. On a dynamical system generated by Navier–Stokes equations

    Zap. Nauchn. Sem. LOMI, 27 (1972),  91–115
  56. On the alternating directions method for the calculation in cylindrical coordinates of the flow of a viscous incompressible fluid

    Izv. Akad. Nauk SSSR Ser. Mat., 35:2 (1971),  259–268
  57. Boundary value problems for equations of mixed type

    Trudy Mat. Inst. Steklov., 116 (1971),  101–136
  58. The stability of difference schemes for the Navier–Stokes equations in cylindrical coordinates, and a sweep method for them

    Trudy Mat. Inst. Steklov., 116 (1971),  71–94
  59. On the solvability in the small of initial-boundary value problems for non-compressible ideal and viscous liquides and on vanishing viscosity

    Zap. Nauchn. Sem. LOMI, 21 (1971),  65–78
  60. On a initial-boundary value problem for Navier–Stokes equations in domains degenerating in a point at $t=0$

    Zap. Nauchn. Sem. LOMI, 21 (1971),  52–64
  61. Example of nonuniqueness in the Hopf class of weak solutions for the Navier–Stokes equations

    Izv. Akad. Nauk SSSR Ser. Mat., 33:1 (1969),  240–247
  62. Gloval estimates of the gradient of solutions of quasilinear elliptic and parabolic equations

    Zap. Nauchn. Sem. LOMI, 14 (1969),  127–155
  63. Stable difference schemes for Navier–Stokes equations

    Zap. Nauchn. Sem. LOMI, 14 (1969),  92–126
  64. On some classes of nonuniformly elliptic equations

    Zap. Nauchn. Sem. LOMI, 11 (1968),  129–149
  65. Initial-boundary problem for Navier–Stokes equations in domains with time-varying boundaries

    Zap. Nauchn. Sem. LOMI, 11 (1968),  97–128
  66. On unique solvability "in the large" of three-dimensional Cauchy problem for Navier–Stokes equations with axial symmetry

    Zap. Nauchn. Sem. LOMI, 7 (1968),  155–177
  67. On modifications of Navier–Stokes equations for large gradients of velocities

    Zap. Nauchn. Sem. LOMI, 7 (1968),  126–154
  68. New equations for the description of the motions of viscous incompressible fluids, and global solvability for their boundary value problems

    Trudy Mat. Inst. Steklov., 102 (1967),  85–104
  69. On some classes of nonuniform elliptic equations

    Zap. Nauchn. Sem. LOMI, 5 (1967),  186–191
  70. On the uniqueness and on the smoothness of weak solutions of the Navier–Stokes equations

    Zap. Nauchn. Sem. LOMI, 5 (1967),  169–185
  71. Certain properties of generalized solutions of parabolic equations of the second order

    Dokl. Akad. Nauk SSSR, 168:1 (1966),  17–20
  72. A grid method for the Navier–Stokes equations

    Dokl. Akad. Nauk SSSR, 167:2 (1966),  309–311
  73. The classical solvability of diffraction problems

    Trudy Mat. Inst. Steklov., 92 (1966),  116–146
  74. On the classical nature of generalized solutions of general non-stationary Navier–Stokes equations

    Trudy Mat. Inst. Steklov., 92 (1966),  100–115
  75. The method of nets for non-stationary Navier–Stokes equations

    Trudy Mat. Inst. Steklov., 92 (1966),  93–99
  76. Generalized solutions of parabolic equations of second order

    Trudy Mat. Inst. Steklov., 92 (1966),  57–92
  77. Classical solvability of diffraction problems for equations of elliptic and parabolic types

    Dokl. Akad. Nauk SSSR, 158:3 (1964),  513–515
  78. Hölder continuity of solutions and their derivatives for linear and quasi-linear equations of elliptic and parabolic type

    Dokl. Akad. Nauk SSSR, 155:6 (1964),  1258–1261
  79. On the Hölder continuity of the solutions and the derivatives of linear and quasi-linear equations of elliptic and parabolic types

    Trudy Mat. Inst. Steklov., 73 (1964),  172–220
  80. Boundary-value problems for linear and quasi-linear equations and systems of parabolic type. III

    Izv. Akad. Nauk SSSR Ser. Mat., 27:1 (1963),  161–240
  81. The first boundary-value problem for quasi-linear second-order parabolic equations of general type

    Dokl. Akad. Nauk SSSR, 147:1 (1962),  28–30
  82. Краевая задача для линейных и квазилинейных параболических уравнений. II

    Izv. Akad. Nauk SSSR Ser. Mat., 26:5 (1962),  753–780
  83. A boundary-value problem for linear and quasi-linear parabolic equations. I

    Izv. Akad. Nauk SSSR Ser. Mat., 26:1 (1962),  5–52
  84. Regularity of generalized solutions of quasilinear elliptic equations

    Dokl. Akad. Nauk SSSR, 140:1 (1961),  45–47
  85. A boundary-value problem for linear and quasi-linear parabolic equations

    Dokl. Akad. Nauk SSSR, 139:3 (1961),  544–547
  86. Differential properties of bounded generalized solutions of multidimensional quasilinear elliptic equations and variational problems

    Dokl. Akad. Nauk SSSR, 138:1 (1961),  29–32
  87. Quasi-linear elliptic equations and variational problems with many independent variables

    Uspekhi Mat. Nauk, 16:1(97) (1961),  19–90
  88. A variational problem for quasilinear elliptic equations with many independent variables

    Dokl. Akad. Nauk SSSR, 135:6 (1960),  1330–1333
  89. Solution of some non-stationary problems of magnetohydrodynamics for a viscous incompressible fluid

    Trudy Mat. Inst. Steklov., 59 (1960),  115–173
  90. Solutions of non-stationary boundary value problems for Navier-Stokes equations

    Trudy Mat. Inst. Steklov., 59 (1960),  100–114
  91. Solution in the large of the Cauchy problem for non-stationary plane flow of a viscous incompressible fluid

    Tr. Mosk. Mat. Obs., 8 (1959),  71–81
  92. Investigation of the Navier–Stokes equation for stationary motion of an incompressible fluid

    Uspekhi Mat. Nauk, 14:3(87) (1959),  75–97
  93. Solution “in the large” to the boundary value problem for the Navier-Stokes equations in two space variables

    Dokl. Akad. Nauk SSSR, 123:3 (1958),  427–429
  94. On continuous spectrum perturbation theory

    Dokl. Akad. Nauk SSSR, 120:6 (1958),  1187–1190
  95. Differential properties of weak solutions of some $n$-dimensional variation problems

    Dokl. Akad. Nauk SSSR, 120:5 (1958),  956–959
  96. Solution of the first boundary problem in the large for quasi-linear parabolic equations

    Tr. Mosk. Mat. Obs., 7 (1958),  149–177
  97. On non-stationary operator equations and their applications to linear problems of mathematical physics

    Mat. Sb. (N.S.), 45(87):2 (1958),  123–158
  98. On the existence and uniqueness of the solution of the nonstationary problem for a viscous, incompressible fluid

    Izv. Akad. Nauk SSSR Ser. Mat., 21:5 (1957),  655–680
  99. On the construction of discontinuous solutions of quasi-linear hyperbolic equations as limits of solutions of the corresponding parabolic equations when the “coefficient of viscosity” tends toward zero

    Tr. Mosk. Mat. Obs., 6 (1957),  465–480
  100. The method of finite differences in the theory of partial differential equations

    Uspekhi Mat. Nauk, 12:5(77) (1957),  123–148
  101. On the principle of limit amplitude

    Uspekhi Mat. Nauk, 12:3(75) (1957),  161–164
  102. Boundary value problems for partial differential equations and certain classes of operator equations

    Uspekhi Mat. Nauk, 11:6(72) (1956),  41–97
  103. On the solution of non-stationary operator equations

    Mat. Sb. (N.S.), 39(81):4 (1956),  491–524
  104. On a method of approximate solution of the Lavrent'ev–Bicadze problem

    Uspekhi Mat. Nauk, 9:4(62) (1954),  187–189
  105. On the solution of a mixed problem for hyperbolic equations

    Izv. Akad. Nauk SSSR Ser. Mat., 15:6 (1951),  545–562
  106. On the uniqueness of the solution of Cauchy's problem for a linear parabolic equation

    Mat. Sb. (N.S.), 27(69):2 (1950),  175–184

  107. To Vsevolod Alekseevich Solonnikov on the occasion of his jubilee

    Zap. Nauchn. Sem. POMI, 306 (2003),  7–15
  108. On the 90th anniversary of the birth of A. D. Aleksandrov (1912–1999)

    Uspekhi Mat. Nauk, 57:5(347) (2002),  169–181
  109. Aleksandr Danilovich Aleksandrov (1912–1999)

    Sibirsk. Mat. Zh., 43:4 (2002),  735–738
  110. Aleksandr Danilovich Aleksandrov (1912–1999)

    Vladikavkaz. Mat. Zh., 4:3 (2002),  5–8
  111. Vladimir Andreevich Yakubovich (on the occasion of his 75th birthday)

    Algebra i Analiz, 13:4 (2001),  254–256
  112. Mikhail Shlyomovich Birman (on his 70th birthday)

    Uspekhi Mat. Nauk, 55:1(331) (2000),  204–207
  113. Aleksandr Vasilievich Ivanov

    Zap. Nauchn. Sem. POMI, 271 (2000),  5–10
  114. Aleksandr Danilovich Aleksandrov (obituary)

    Uspekhi Mat. Nauk, 54:5(329) (1999),  143–146
  115. Evgenii Yakovlevich Khruslov (on his 60th birthday)

    Uspekhi Mat. Nauk, 52:6(318) (1997),  205–206
  116. Semen Samsonovich Kutateladze (on his 50th birthday)

    Uspekhi Mat. Nauk, 52:2(314) (1997),  201–204
  117. To the memory of A. P. Oskolkov

    Zap. Nauchn. Sem. POMI, 243 (1997),  5–9
  118. Vladimir Andreevich Yakubovich (on his seventieth birthday)

    Uspekhi Mat. Nauk, 51:6(312) (1996),  231–232
  119. Editor's preface

    Zap. Nauchn. Sem. POMI, 233 (1996),  5–8
  120. Anatolii Moiseevich Vershik (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 49:3(297) (1994),  195–204
  121. Aleksandr Danilovich Aleksandrov (on his eightieth birthday)

    Uspekhi Mat. Nauk, 48:4(292) (1993),  239–241
  122. Mikhail Zakharovich Solomyak (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 46:4(280) (1991),  183–184
  123. Ivan Il'ich Danilyuk (obituary)

    Uspekhi Mat. Nauk, 44:5(269) (1989),  141–147
  124. Isaak Moiseevich Yaglom (obituary)

    Uspekhi Mat. Nauk, 44:1(265) (1989),  179–180
  125. Mikhail Shlëmovich Birman (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 43:3(261) (1988),  201–202
  126. Aleksandr Danilovich Aleksandrov (on his seventy-fifth birthday)

    Uspekhi Mat. Nauk, 43:2(260) (1988),  161–167
  127. On the 75th birthday of Academician A. D. Aleksandrov

    Trudy Inst. Mat. Sib. Otd. AN SSSR, 9 (1987),  3–15
  128. All-Union seminar “Nonlinear Problems of Mathematical Physics”

    Uspekhi Mat. Nauk, 42:6(258) (1987),  207–208
  129. The life and scientific work of Vladimir Ivanovich Smirnov

    Uspekhi Mat. Nauk, 42:6(258) (1987),  3–23
  130. Vladimir Andreevich Yakubovich (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 42:4(256) (1987),  219–220
  131. Sergei Mikhailovich Lozinskii (obituary)

    Uspekhi Mat. Nauk, 41:5(251) (1986),  153–154
  132. Preface

    Trudy Mat. Inst. Steklov., 125 (1973),  3–5
  133. Preface of the Editor

    Zap. Nauchn. Sem. LOMI, 38 (1973),  5–6
  134. Preface

    Trudy Mat. Inst. Steklov., 116 (1971),  5–6
  135. Kirill Kapitonovich Golovkin (1936–1969)

    Trudy Mat. Inst. Steklov., 116 (1971),  3–4
  136. Editor's preface

    Zap. Nauchn. Sem. LOMI, 21 (1971),  3–4
  137. Preface

    Trudy Mat. Inst. Steklov., 110 (1970),  3–4
  138. Preface of the Editor

    Zap. Nauchn. Sem. LOMI, 14 (1969),  7
  139. Vladimir Ivanovich Smirnov (on his eightieth birthday)

    Uspekhi Mat. Nauk, 23:4(142) (1968),  255–267
  140. Preface

    Zap. Nauchn. Sem. LOMI, 7 (1968),  5
  141. Preface

    Trudy Mat. Inst. Steklov., 102 (1967),  3–4
  142. Preface

    Trudy Mat. Inst. Steklov., 73 (1964),  3–4
  143. Errata

    Trudy Mat. Inst. Steklov., 70 (1964),  318
  144. Solomon Grigor'evich Mikhlin (on the fiftieth anniversary of his birth)

    Uspekhi Mat. Nauk, 13:5(83) (1958),  215–221

© Steklov Math. Inst. of RAS, 2024