Oskolkov Anatolii Petrovich

Publications in Math-Net.Ru

1. О некоторых псевдопараболических системах уравнений с малым параметром, возникающих при численном анализе уравнений жидкостей Кельвина–Фойгта
   
   Vestnik Chelyabinsk. Gos. Univ., 1999, no. 4,  155–173
2. On the estimation of the Hausdorff dimension of the attractor for two-dimensional equations of Oldroyd fluids
   
   Zap. Nauchn. Sem. POMI, 226 (1996),  109–119
3. Nonlocal problems for the equations of Kelvin–Voight fluids and their $\varepsilon$-approximations in classes of smooth functions
   
   Zap. Nauchn. Sem. POMI, 230 (1995),  214–242
4. Smooth global solutions of initial boundary-value problems for the equations of Oldroyd fluids and of their $\varepsilon$-approximations
   
   Zap. Nauchn. Sem. POMI, 229 (1995),  247–267
5. The penalty method for the equations of viscoelastic media
   
   Zap. Nauchn. Sem. POMI, 224 (1995),  267–278
6. Nonlocal problems for the equations of Kelvin–Voight fluids and their $\varepsilon$-approximations
   
   Zap. Nauchn. Sem. POMI, 221 (1995),  185–207
7. Smooth and convergent $\varepsilon$-approximations of the first initial boundary-value problem for the equations of Kelvin–Voight fluids
   
   Zap. Nauchn. Sem. POMI, 219 (1994),  186–212
8. Smooth and convergent $\varepsilon$-approximations of the first boundary-value problem for the equations of Kelvin–Voight fluids and Oldroyd fluids
   
   Zap. Nauchn. Sem. POMI, 215 (1994),  246–255
9. Time periodic solutions of the smooth convergent and dissipative $\varepsilon$-approximations for the modified Navier–Stokes equations.
   
   Zap. Nauchn. Sem. POMI, 213 (1994),  116–130
10. Initial-boundary value problem with a free surface condition for the modified Navier–Stokes equations
    
    Zap. Nauchn. Sem. POMI, 213 (1994),  93–115
11. Initial-boundary value problem with a free surface condition for the penalized equations of aqueous solutions of polymers
    
    Zap. Nauchn. Sem. POMI, 210 (1994),  241–250
12. Initial boundary-value problems for equations of slightly compressible Jeffreys–Oldroyd fluids
    
    Zap. Nauchn. Sem. POMI, 208 (1993),  200–218
13. The initial-boundary value problem with a free surface condition for the $\varepsilon$-approximations of the Navier–Stokes equations and some their regularizations
    
    Zap. Nauchn. Sem. POMI, 205 (1993),  38–70
14. On semilinear dissipative systems of equations with a small parameter that arise in solution of the Navier–Stokes equations, equation of motion of the Oldroyd fluids, and equations of motion of the Kelvin–Voight fluids
    
    Zap. Nauchn. Sem. POMI, 202 (1992),  158–184
15. To the stability theory for the solutions of the semilinear dissipative Sobolev type equations
    
    Zap. Nauchn. Sem. POMI, 200 (1992),  139–148
16. Nonlocal problems for some class nonlinear dissipative Sobolev type equations
    
    Zap. Nauchn. Sem. POMI, 199 (1992),  91–113
17. Nonlocal problems for the equations of motion of the Kelvin–Voight fluids
    
    Zap. Nauchn. Sem. LOMI, 197 (1992),  120–158
18. Nonlocal problems for some class nonlinear operator equations arising in the theory Sobolev type equations
    
    Zap. Nauchn. Sem. LOMI, 198 (1991),  31–48
19. Some nonlocal problems for two-dimensional equations of motion of Oldroyd fluids
    
    Zap. Nauchn. Sem. LOMI, 189 (1991),  101–121
20. Nonlocal problems for the equations of filtration of nonnewtonian fluids in porous media
    
    Zap. Nauchn. Sem. LOMI, 189 (1991),  82–100
21. Some nonlocal problems for the modified Navier–Stokes equations
    
    Zap. Nauchn. Sem. LOMI, 188 (1991),  105–127
22. Dynamical systems generated by initial-boundary value problems for equations of motion of linear viscoelastic fluids
    
    Trudy Mat. Inst. Steklov., 188 (1990),  59–87
23. Nonlocal problems of the theory of the equations of motion for Kelvin–Voight fluids. II
    
    Zap. Nauchn. Sem. LOMI, 185 (1990),  111–124
24. An error estimate uniform in time for spectral Galerkln approximations of the Kelvin-Voight problem
    
    Zap. Nauchn. Sem. LOMI, 182 (1990),  123–130
25. Apriori estimates on the semiaxis $t\geqslant0$ for solutions of equations of motion of linear viscoelastic fluids with infinite Dirichlet integral and their applications
    
    Zap. Nauchn. Sem. LOMI, 182 (1990),  86–101
26. Nonlocal problems of the theory of the equations of motion for Kelvin–Voight fluids
    
    Zap. Nauchn. Sem. LOMI, 181 (1990),  146–185
27. To the theory of global solvability on $[0,\infty)$ initial boundary-value problems for the equations of motion of Oldroyd type fluids and Kelvin–Voight type fluids
    
    Zap. Nauchn. Sem. LOMI, 180 (1990),  121–141
28. Asymptotical stability and time periodicity of “small” solutions of the equations of motion of Oldroyd type fluids and Kelvin–Voight type fluids
    
    Zap. Nauchn. Sem. LOMI, 180 (1990),  63–75
29. On the asymptotical behaviour for $t\to\infty$ of solutions of initial boundary-value problems for the equations of motions of linear viscoelastic fluids
    
    Zap. Nauchn. Sem. LOMI, 171 (1989),  174–181
30. Initial-boundary value problems for equations of motion of Kelvin–Voight fluids and Oldroyd fluids
    
    Trudy Mat. Inst. Steklov., 179 (1988),  126–164
31. On the dynamical system generated by the equations of motion of the Oldroyd fluids of the order $L$
    
    Zap. Nauchn. Sem. LOMI, 164 (1987),  47–53
32. Convergent difference schemes for the equations of filtration of fluids with delay. II
    
    Zap. Nauchn. Sem. LOMI, 163 (1987),  138–142
33. On the equations of motion of linear viscoelastic fluids and the equations of filtration of fluids with delay
    
    Zap. Nauchn. Sem. LOMI, 163 (1987),  132–137
34. Attractors and dynamical systems generated by initial-boundary value problems for equations of motion of viscoelastic liquids
    
    Zap. Nauchn. Sem. LOMI, 162 (1987),  159–168
35. Convergent difference schemes for equations of motion of Oldroyd fluids
    
    Zap. Nauchn. Sem. LOMI, 159 (1987),  143–152
36. On the dynamical system generated bу the equations of motion of Oldroyd fluids
    
    Zap. Nauchn. Sem. LOMI, 155 (1986),  136–141
37. Convergent finite-difference schemes for the equations of filtration of fluids with delay
    
    Zap. Nauchn. Sem. LOMI, 152 (1986),  86–93
38. On the limit behaviour and the attractor for the equations of motion of Oldroyd fluids
    
    Zap. Nauchn. Sem. LOMI, 152 (1986),  67–71
39. On correctness of the initial-boundary value problems for the equations of fluid filtration with delay
    
    Zap. Nauchn. Sem. LOMI, 150 (1986),  76–86
40. On the solvability of the main initial-boundary value problem for the equations of motion of Oldroyd fluids on $(0,\infty)$ and the behaviour of its solutions as $t\to+\infty$
    
    Zap. Nauchn. Sem. LOMI, 150 (1986),  48–52
41. Initial-boundary value problems for equations of motion nonlinear viscoelastic fluids
    
    Zap. Nauchn. Sem. LOMI, 147 (1985),  110–119
42. On the theory of Maxwell fluids. III
    
    Zap. Nauchn. Sem. LOMI, 145 (1985),  164–172
43. Unsteady flows of viscoelastic fluids
    
    Trudy Mat. Inst. Steklov., 159 (1983),  103–131
44. On the theory of Maxwell liquids. II
    
    Zap. Nauchn. Sem. LOMI, 131 (1983),  106–113
45. On the theory of nonstationary flows of the Maxwell liquids and nonlinear visсo-elastio liquids
    
    Zap. Nauchn. Sem. LOMI, 127 (1983),  158–168
46. On the theory of nonstationary flows of nonlinear visco-elastlc liquids
    
    Zap. Nauchn. Sem. LOMI, 120 (1982),  142–158
47. Theory of nonstationary flows of Kelvin–Voigt fluids
    
    Zap. Nauchn. Sem. LOMI, 115 (1982),  191–202
48. Certain model nonstationary systems in the theory of non-Newtonian fluids. IV
    
    Zap. Nauchn. Sem. LOMI, 110 (1981),  141–162
49. On the theory of Maxwell liquids
    
    Zap. Nauchn. Sem. LOMI, 101 (1981),  119–127
50. On the theory of the Voight liquids
    
    Zap. Nauchn. Sem. LOMI, 96 (1980),  233–236
51. Model nonstationary systems in the theory of non-Newtonian fluids. III
    
    Zap. Nauchn. Sem. LOMI, 96 (1980),  205–232
52. Some model nonstationary systems in the theory of non-Newtonian fluids. II
    
    Zap. Nauchn. Sem. LOMI, 84 (1979),  185–210
53. Construction of characteristic functions for the system of Navier–Stokes–Voigt equations and the BBM equation
    
    Zap. Nauchn. Sem. LOMI, 69 (1977),  136–148
54. Some nonstationary linear and quasilinear systems occurring in the investigation of the motion of viscous fluids
    
    Zap. Nauchn. Sem. LOMI, 59 (1976),  133–177
55. Certain model nonstationary systems in the theory of non-Newtonian fluids
    
    Trudy Mat. Inst. Steklov., 127 (1975),  32–57
56. On admissible groups of transformations for some quasi-linearthir third-order equations
    
    Zap. Nauchn. Sem. LOMI, 52 (1975),  158–159
57. On some quasilinears systems occuring in studing of motion of viscous fluids
    
    Zap. Nauchn. Sem. LOMI, 52 (1975),  128–157
58. Certain convergent difference schemes for the Navier–Stokes equations
    
    Trudy Mat. Inst. Steklov., 125 (1973),  164–172
59. The asymptotic behavior of the solutions of certain systems with a small parameter that approximate the Navier–Stokes system of equations
    
    Trudy Mat. Inst. Steklov., 125 (1973),  147–163
60. Uniqueness and global solvability for boundary-value problems for the equations of motion of water solutions of polymers
    
    Zap. Nauchn. Sem. LOMI, 38 (1973),  98–136
61. On the convergent difference schemes for equations of water solutions mouvement of polymers
    
    Zap. Nauchn. Sem. LOMI, 35 (1973),  21–35
62. On the global solvability of a boundary value problem for a system of third order occuring in studying of motion of wiscous fluid
    
    Zap. Nauchn. Sem. LOMI, 27 (1972),  145–160
63. A priori estimates of weighted first derivatives for certain classes of nonuniformly elliptic quasilinear equations in an unbounded domain
    
    Trudy Mat. Inst. Steklov., 116 (1971),  152–161
64. Certain classes on non-uniformly elliptic quasilinear equations. II
    
    Trudy Mat. Inst. Steklov., 116 (1971),  137–151
65. On the solvability of the Diricnlet problem for quasi-linear elliptic systems in non-bounded domains in a class of bounded runctions
    
    Zap. Nauchn. Sem. LOMI, 21 (1971),  104–111
66. On aquasi-linear parabolic system with a small parameter approximating the Navier–Stokes system
    
    Zap. Nauchn. Sem. LOMI, 21 (1971),  79–103
67. Interior estimates of the first derivatives for a certain class of quasilinear elliptic systems
    
    Trudy Mat. Inst. Steklov., 110 (1970),  102–106
68. Nonlocal estimates of the first derivatives of the solutions of the first boundary value problem for certain classes of nonuniformly elliptic and nonuniformly parabolic equations and systems
    
    Trudy Mat. Inst. Steklov., 110 (1970),  65–101
69. On the solvability of the Dirichlet problem for quasilinear elliptic equations in unbaunded domains
    
    Zap. Nauchn. Sem. LOMI, 14 (1969),  173–190
70. On certain classes of non-uniformly elliptic quasilinear equations
    
    Zap. Nauchn. Sem. LOMI, 14 (1969),  156–172
71. Nonlocal estimates of the first derivatives of solutions of the first boundary value problem for nonuniformly elliptic and nonuniformly parabolic nondivergence equations
    
    Zap. Nauchn. Sem. LOMI, 11 (1968),  6–72
72. A remark on the estimate of Hölder constant for some non-uniform elliptic quasilinear equations
    
    Zap. Nauchn. Sem. LOMI, 7 (1968),  178–183
73. Solvability of the Dirichlet problem for quasilinear elliptic equations in an unbounded region. I
    
    Trudy Mat. Inst. Steklov., 102 (1967),  128–136
74. A priori estimates of the first derivatives of solutions of Dirichlet's problem for nonuniformly elliptic quasilinear equations
    
    Trudy Mat. Inst. Steklov., 102 (1967),  105–127
75. Global estimates for the first derivatives of the solutions of Dirichlet problem for nonuniform quasilinear elliptic equations
    
    Zap. Nauchn. Sem. LOMI, 5 (1967),  37–109
76. Some estimates for nonuniformly elliptic equations and systems
    
    Trudy Mat. Inst. Steklov., 92 (1966),  203–232
77. Prior estimates of the first derivatives for two-dimensional quasi-linear strongly elliptic systems
    
    Trudy Mat. Inst. Steklov., 92 (1966),  192–202
78. Prior estimates of first derivatives for two-dimensional linear strongly elliptic systems and elliptic mappings
    
    Trudy Mat. Inst. Steklov., 92 (1966),  182–191
79. Hölder continuity of the generalized solutions of a class of quasi-linear systems
    
    Trudy Mat. Inst. Steklov., 70 (1964),  116–132
80. On the solution of boundary-value problems for linear elliptic equations in an infinite region
    
    Dokl. Akad. Nauk SSSR, 153:1 (1963),  34–37


81. Boris F. Skubenko. An essay on his life and scientific work
    
    Zap. Nauchn. Sem. POMI, 212 (1994),  5–9
82. A. V. Malyshev, scientist and teacher
    
    Zap. Nauchn. Sem. POMI, 211 (1994),  7–13
83. Ol'ga Aleksandrovna Ladyzhenskaya (on her sixtieth birthday)
    
    Uspekhi Mat. Nauk, 38:5(233) (1983),  215–223