Seregin Grigorii Aleksandrovich

Publications in Math-Net.Ru

1. A note on weak solutions to the Navier–Stokes equations that are locally in $L_\infty(L^{3,\infty})$
   
   Algebra i Analiz, 32:3 (2020),  238–253
2. On Type I blowups of suitable weak solutions to Navier–Stokes equations near boundary
   
   Zap. Nauchn. Sem. POMI, 489 (2020),  81–95
3. Sufficient conditions on Liouville type theorems for the 3D steady Navier–Stokes equations
   
   Algebra i Analiz, 31:2 (2019),  269–278
4. Remarks on Liouville type theorems for steady-state Navier–Stokes equations
   
   Algebra i Analiz, 30:2 (2018),  238–248
5. Liouville-type theorems for the Navier–Stokes equations
   
   Uspekhi Mat. Nauk, 73:4(442) (2018),  103–170
6. Regularity of solutions to the Navier–Stokes equations in $\dot{B}_{\infty,\infty}^{-1}$
   
   Zap. Nauchn. Sem. POMI, 477 (2018),  119–128
7. $LlogL$-integrability of the velocity gradient for Stokes system with drifts in $L_\infty (BMO^{-1})$
   
   Zap. Nauchn. Sem. POMI, 459 (2017),  37–57
8. Remark on Wolf's condition for boundary regularity of Navier–Stokes equations
   
   Zap. Nauchn. Sem. POMI, 444 (2016),  124–132
9. Liouville theorem for 2D Navier–Stokes equations in half space
   
   Zap. Nauchn. Sem. POMI, 425 (2014),  137–148
10. Rescalings at possible singularities of Navier–Stokes equations in half-space
    
    Algebra i Analiz, 25:5 (2013),  146–172
11. A Liouville theorem for the Stokes system in half-space
    
    Zap. Nauchn. Sem. POMI, 410 (2013),  25–35
12. Note on bounded scale-invariant quantities for the Navier–Stokes equations
    
    Zap. Nauchn. Sem. POMI, 397 (2011),  150–156
13. On a bounded shear flow in half-space
    
    Zap. Nauchn. Sem. POMI, 385 (2010),  200–205
14. Necessary conditions of potential blow up for Navier–Stokes equations
    
    Zap. Nauchn. Sem. POMI, 385 (2010),  187–199
15. A note on local boundary regularity for the Stokes system
    
    Zap. Nauchn. Sem. POMI, 370 (2009),  151–159
16. On a reverse Hölder inequality for a class of suitable weak solutions to the Navier–Stokes equations
    
    Zap. Nauchn. Sem. POMI, 362 (2008),  325–336
17. Local regularity for suitable weak solutions of the Navier–Stokes equations
    
    Uspekhi Mat. Nauk, 62:3(375) (2007),  149–168
18. Existence of global solutions for a parabolic system related to the nonlinear Stokes problem
    
    Zap. Nauchn. Sem. POMI, 348 (2007),  254–271
19. New version of the Ladyzhenskaya–Prodi–Serrin condition
    
    Algebra i Analiz, 18:1 (2006),  124–143
20. Estimates of suitable weak solutions to the Navier–Stokes equations in critical Morrey spaces
    
    Zap. Nauchn. Sem. POMI, 336 (2006),  199–210
21. A sufficient condition of local regularity for the Navier–Stokes equations
    
    Zap. Nauchn. Sem. POMI, 336 (2006),  46–54
22. Boundary partial regularity for the Navier–Stokes equations
    
    Zap. Nauchn. Sem. POMI, 310 (2004),  158–190
23. Backward uniqueness for the heat operator in half-space
    
    Algebra i Analiz, 15:1 (2003),  201–214
24. $L_{3,\infty}$-solutions of the Navier–Stokes equations and backward uniqueness
    
    Uspekhi Mat. Nauk, 58:2(350) (2003),  3–44
25. On smoothness of suitable weak solutions to the Navier–Stokes equations
    
    Zap. Nauchn. Sem. POMI, 306 (2003),  186–198
26. Remarks on regularity of weak solutions to the Navier–Stokes equations near the boundary
    
    Zap. Nauchn. Sem. POMI, 295 (2003),  168–179
27. Differentiability properties of weak solutions of the Navier–Stokes equations
    
    Algebra i Analiz, 14:1 (2002),  194–237
28. On Backward uniqueness for parabolic equations
    
    Zap. Nauchn. Sem. POMI, 288 (2002),  100–103
29. Some estimates near the boundary for solutions to the non-stationary linearized Navier–Stokes equations
    
    Zap. Nauchn. Sem. POMI, 271 (2000),  204–223
30. $J_p^1$-quasiconvexity and variational problems on sets of solenoidal vector fields
    
    Algebra i Analiz, 11:2 (1999),  170–217
31. Partial regularity for solutions to the modified Navier–Stokes equations
    
    Zap. Nauchn. Sem. POMI, 259 (1999),  238–253
32. On reqularity of solutions to two-dimensional equations of the dynamics of fluids with nonlinear viscosity
    
    Zap. Nauchn. Sem. POMI, 259 (1999),  145–166
33. A variational problem on the phase equilibrium of an elastic body
    
    Algebra i Analiz, 10:3 (1998),  92–132
34. 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
35. Flow of two-dimensional generalized Newtonian fluid
    
    Algebra i Analiz, 9:1 (1997),  167–200
36. 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
37. On attractors for equations describing the flow of generalized Newtonian fluids
    
    Zap. Nauchn. Sem. POMI, 249 (1997),  256–293
38. Regularity for minimaizers of some variational problems in plasticity theory
    
    Zap. Nauchn. Sem. POMI, 243 (1997),  270–298
39. Two-dimensional variational problems of the theory of plasticity
    
    Izv. RAN. Ser. Mat., 60:1 (1996),  175–210
40. Remarks on regularity up to the boundary for solutions to variational problems in plasticity theory
    
    Zap. Nauchn. Sem. POMI, 233 (1996),  227–232
41. On the regularity of solutions of variational problems in the theory of phase transitions in an elastic body
    
    Algebra i Analiz, 7:6 (1995),  153–187
42. Some remarks on the mollification of piecewise-linear homeomorphisms
    
    Zap. Nauchn. Sem. POMI, 221 (1995),  235–242
43. Partial regularity of the deformation gradient for some model problems in nonlinear twodimensional elasticity
    
    Algebra i Analiz, 6:6 (1994),  128–153
44. Some remarks on variational problems for functionals with $L\ln L$ growth
    
    Zap. Nauchn. Sem. POMI, 213 (1994),  164–178
45. Differential properties of the stress tensor in the Coulomb-Mohr theory of plasticity
    
    Algebra i Analiz, 4:6 (1992),  234–252
46. On the regularity of minimizers of some variational problems in the theory of plasticity
    
    Algebra i Analiz, 4:5 (1992),  181–218
47. A local estimate of maximum of the module of the deviator of strain tensor in elastic-plastic body with linear hardening
    
    Zap. Nauchn. Sem. POMI, 200 (1992),  167–176
48. 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
49. On the dynamical system associated with two dimensional equations of the motion of Bingham fluid
    
    Zap. Nauchn. Sem. LOMI, 188 (1991),  128–142
50. On the regularity of weak solutions of variational problems of plasticity theory
    
    Algebra i Analiz, 2:2 (1990),  121–140
51. Regularity of weak solutions of variational problems in plasticity theory
    
    Dokl. Akad. Nauk SSSR, 314:6 (1990),  1344–1349
52. Differential properties of extremals of variational problems that arise in the theory of plasticity
    
    Differ. Uravn., 26:6 (1990),  1033–1044
53. Differential properties of extremals of variational problems in the mechanics of viscoplastic media
    
    Trudy Mat. Inst. Steklov., 188 (1990),  117–124
54. On the differentiability of extremals of variational problems of the mechanics of ideally elastoplastic media
    
    Differ. Uravn., 23:11 (1987),  1981–1991
55. On the differentiability of local extremals of variational problems of the mechanics of rigidly viscoplastic media
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1987, no. 10,  23–30
56. A variational-difference scheme for problems of limit equilibrium
    
    Zh. Vychisl. Mat. Mat. Fiz., 27:1 (1987),  83–92
57. On differential properties of weak solutions of nonlinear elliptic systems arising in plasticity theory
    
    Mat. Sb. (N.S.), 130(172):3(7) (1986),  291–309
58. Variational-difference schemes for problems of the mechanics of ideally elastoplastic media
    
    Zh. Vychisl. Mat. Mat. Fiz., 25:2 (1985),  237–253
59. Well-posedness of variational problems of the mechanics of ideally elastoplastic media
    
    Dokl. Akad. Nauk SSSR, 276:1 (1984),  71–75
60. Variational problems and evolution variational inequalities in nonreflexive spaces with applications to problems of geometry and plasticity
    
    Izv. Akad. Nauk SSSR Ser. Mat., 48:2 (1984),  420–445
61. Well-posedness of initial-boundary value problems in the mechanics of ideally elastoplastic media
    
    Dokl. Akad. Nauk SSSR, 270:4 (1983),  810–813


62. On the 90th birthday of Vsevolod Alekseevich Solonnikov
    
    Uspekhi Mat. Nauk, 78:5(473) (2023),  187–198
63. To Solonnikov's jubilee
    
    Zap. Nauchn. Sem. POMI, 362 (2008),  5–14
64. Olga Aleksandrovna Ladyzhenskaya (obituary)
    
    Uspekhi Mat. Nauk, 59:3(357) (2004),  151–152
65. To the 70th anniversary of Nina Nikolaevna Ural'tseva
    
    Zap. Nauchn. Sem. POMI, 310 (2004),  7–18
66. Ol'ga Aleksandrovna Ladyzhenskaya (on her 80th birthday)
    
    Uspekhi Mat. Nauk, 58:2(350) (2003),  181–206
67. To Vsevolod Alekseevich Solonnikov on the occasion of his jubilee
    
    Zap. Nauchn. Sem. POMI, 306 (2003),  7–15
68. To the jubillee of O. A. Ladyzhenskaya
    
    Zap. Nauchn. Sem. POMI, 288 (2002),  5–13