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Seregin Grigorii Aleksandrovich

Statistics Math-Net.Ru
Total publications: 58
Scientific articles: 52
Presentations: 3

Number of views:
This page:2434
Abstract pages:11027
Full texts:4322
References:838
Professor
Doctor of physico-mathematical sciences
E-mail: ,

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Publications in Math-Net.Ru
1. Remarks on Liouville type theorems for steady-state Navier–Stokes equations
G. Seregin
Algebra i Analiz, 30:2 (2018),  238–248
2. $LlogL$-integrability of the velocity gradient for Stokes system with drifts in $L_\infty (BMO^{-1})$
J. Burczak, G. Seregin
Zap. Nauchn. Sem. POMI, 459 (2017),  37–57
3. Remark on Wolf's condition for boundary regularity of Navier–Stokes equations
G. Seregin
Zap. Nauchn. Sem. POMI, 444 (2016),  124–132
4. Liouville theorem for 2D Navier–Stokes equations in half space
G. Seregin
Zap. Nauchn. Sem. POMI, 425 (2014),  137–148
5. Rescalings at possible singularities of Navier–Stokes equations in half-space
G. Seregin, V. Šverák
Algebra i Analiz, 25:5 (2013),  146–172
6. A Liouville theorem for the Stokes system in half-space
H. Jia, G. Seregin, V. Sverak
Zap. Nauchn. Sem. POMI, 410 (2013),  25–35
7. Note on bounded scale-invariant quantities for the Navier–Stokes equations
G. Seregin
Zap. Nauchn. Sem. POMI, 397 (2011),  150–156
8. On a bounded shear flow in half-space
G. Seregin, V. Sverak
Zap. Nauchn. Sem. POMI, 385 (2010),  200–205
9. Necessary conditions of potential blow up for Navier–Stokes equations
G. A. Seregin
Zap. Nauchn. Sem. POMI, 385 (2010),  187–199
10. A note on local boundary regularity for the Stokes system
G. A. Seregin
Zap. Nauchn. Sem. POMI, 370 (2009),  151–159
11. On a reverse Hölder inequality for a class of suitable weak solutions to the Navier–Stokes equations
G. A. Seregin
Zap. Nauchn. Sem. POMI, 362 (2008),  325–336
12. Local regularity for suitable weak solutions of the Navier–Stokes equations
G. A. Seregin
Uspekhi Mat. Nauk, 62:3(375) (2007),  149–168
13. Existence of global solutions for a parabolic system related to the nonlinear Stokes problem
M. Fuchs, G. A. Seregin
Zap. Nauchn. Sem. POMI, 348 (2007),  254–271
14. New version of the Ladyzhenskaya–Prodi–Serrin condition
G. A. Seregin
Algebra i Analiz, 18:1 (2006),  124–143
15. Estimates of suitable weak solutions to the Navier–Stokes equations in critical Morrey spaces
G. A. Seregin
Zap. Nauchn. Sem. POMI, 336 (2006),  199–210
16. A sufficient condition of local regularity for the Navier–Stokes equations
W. Zajączkowski, G. A. Seregin
Zap. Nauchn. Sem. POMI, 336 (2006),  46–54
17. Boundary partial regularity for the Navier–Stokes equations
G. A. Seregin, T. N. Shilkin, V. A. Solonnikov
Zap. Nauchn. Sem. POMI, 310 (2004),  158–190
18. Backward uniqueness for the heat operator in half-space
L. Escauriaza, G. Seregin, V. Šverak
Algebra i Analiz, 15:1 (2003),  201–214
19. $L_{3,\infty}$-solutions of the Navier–Stokes equations and backward uniqueness
L. Escauriaza, G. A. Seregin, V. Šverak
Uspekhi Mat. Nauk, 58:2(350) (2003),  3–44
20. On smoothness of suitable weak solutions to the Navier–Stokes equations
G. A. Seregin, V. Šverak
Zap. Nauchn. Sem. POMI, 306 (2003),  186–198
21. Remarks on regularity of weak solutions to the Navier–Stokes equations near the boundary
G. A. Seregin
Zap. Nauchn. Sem. POMI, 295 (2003),  168–179
22. Differentiability properties of weak solutions of the Navier–Stokes equations
G. A. Seregin
Algebra i Analiz, 14:1 (2002),  194–237
23. On Backward uniqueness for parabolic equations
L. Escauriaza, G. A. Seregin, V. Šverak
Zap. Nauchn. Sem. POMI, 288 (2002),  100–103
24. Some estimates near the boundary for solutions to the non-stationary linearized Navier–Stokes equations
G. A. Seregin
Zap. Nauchn. Sem. POMI, 271 (2000),  204–223
25. $J_p^1$-quasiconvexity and variational problems on sets of solenoidal vector fields
G. A. Seregin
Algebra i Analiz, 11:2 (1999),  170–217
26. Partial regularity for solutions to the modified Navier–Stokes equations
G. A. Seregin
Zap. Nauchn. Sem. POMI, 259 (1999),  238–253
27. On reqularity of solutions to two-dimensional equations of the dynamics of fluids with nonlinear viscosity
O. A. Ladyzhenskaya, G. A. Seregin
Zap. Nauchn. Sem. POMI, 259 (1999),  145–166
28. A variational problem on the phase equilibrium of an elastic body
G. A. Seregin
Algebra i Analiz, 10:3 (1998),  92–132
29. Smoothness of solutions of equations describing generalized Newtonian flows and estimates for the dimensions of their attractors
O. A. Ladyzhenskaya, G. A. Seregin
Izv. RAN. Ser. Mat., 62:1 (1998),  59–122
30. Flow of two-dimensional generalized Newtonian fluid
G. A. Seregin
Algebra i Analiz, 9:1 (1997),  167–200
31. On attractors for equations describing the flow of generalized Newtonian fluids
G. A. Seregin
Zap. Nauchn. Sem. POMI, 249 (1997),  256–293
32. Regularity for minimaizers of some variational problems in plasticity theory
G. A. Seregin, T. N. Shilkin
Zap. Nauchn. Sem. POMI, 243 (1997),  270–298
33. Two-dimensional variational problems of the theory of plasticity
G. A. Seregin
Izv. RAN. Ser. Mat., 60:1 (1996),  175–210
34. Remarks on regularity up to the boundary for solutions to variational problems in plasticity theory
G. A. Seregin
Zap. Nauchn. Sem. POMI, 233 (1996),  227–232
35. On the regularity of solutions of variational problems in the theory of phase transitions in an elastic body
G. A. Seregin
Algebra i Analiz, 7:6 (1995),  153–187
36. Some remarks on the mollification of piecewise-linear homeomorphisms
G. A. Seregin, T. N. Shilkin
Zap. Nauchn. Sem. POMI, 221 (1995),  235–242
37. Partial regularity of the deformation gradient for some model problems in nonlinear twodimensional elasticity
M. Fuchs, G. A. Seregin
Algebra i Analiz, 6:6 (1994),  128–153
38. Some remarks on variational problems for functionals with $L\ln L$ growth
G. A. Seregin
Zap. Nauchn. Sem. POMI, 213 (1994),  164–178
39. Differential properties of the stress tensor in the Coulomb-Mohr theory of plasticity
G. A. Seregin
Algebra i Analiz, 4:6 (1992),  234–252
40. On the regularity of minimizers of some variational problems in the theory of plasticity
G. A. Seregin
Algebra i Analiz, 4:5 (1992),  181–218
41. A local estimate of maximum of the module of the deviator of strain tensor in elastic-plastic body with linear hardening
G. A. Seregin
Zap. Nauchn. Sem. POMI, 200 (1992),  167–176
42. On some way of the approximation of solutions of initial boundary value problems for Navier–Stokes equations
O. A. Ladyzhenskaya, G. A. Seregin
Zap. Nauchn. Sem. LOMI, 197 (1992),  87–119
43. On the dynamical system associated with two dimensional equations of the motion of Bingham fluid
G. A. Seregin
Zap. Nauchn. Sem. LOMI, 188 (1991),  128–142
44. On the regularity of weak solutions of variational problems of plasticity theory
G. A. Seregin
Algebra i Analiz, 2:2 (1990),  121–140
45. Differential properties of extremals of variational problems that arise in the theory of plasticity
G. A. Seregin
Differ. Uravn., 26:6 (1990),  1033–1044
46. Differential properties of extremals of variational problems in the mechanics of viscoplastic media
G. A. Seregin
Trudy Mat. Inst. Steklov., 188 (1990),  117–124
47. On the differentiability of extremals of variational problems of the mechanics of ideally elastoplastic media
G. A. Seregin
Differ. Uravn., 23:11 (1987),  1981–1991
48. On the differentiability of local extremals of variational problems of the mechanics of rigidly viscoplastic media
G. A. Serëgin
Izv. Vyssh. Uchebn. Zaved. Mat., 1987, no. 10,  23–30
49. A variational-difference scheme for problems of limit equilibrium
G. A. Seregin
Zh. Vychisl. Mat. Mat. Fiz., 27:1 (1987),  83–92
50. On differential properties of weak solutions of nonlinear elliptic systems arising in plasticity theory
G. A. Seregin
Mat. Sb. (N.S.), 130(172):3(7) (1986),  291–309
51. Variational-difference schemes for problems of the mechanics of ideally elastoplastic media
G. A. Seregin
Zh. Vychisl. Mat. Mat. Fiz., 25:2 (1985),  237–253
52. Variational problems and evolution variational inequalities in nonreflexive spaces with applications to problems of geometry and plasticity
G. A. Seregin
Izv. Akad. Nauk SSSR Ser. Mat., 48:2 (1984),  420–445

53. To Solonnikov's jubilee
I. V. Denisova, K. I. Pileckas, S. I. Repin, G. A. Seregin, N. N. Ural'tseva, E. V. Frolova
Zap. Nauchn. Sem. POMI, 362 (2008),  5–14
54. Olga Aleksandrovna Ladyzhenskaya (obituary)
V. I. Arnol'd, M. Sh. Birman, A. M. Vershik, M. I. Vishik, I. M. Gel'fand, I. A. Ibragimov, V. P. Maslov, S. P. Novikov, G. A. Seregin, Ya. G. Sinai, M. Z. Solomyak, V. A. Solonnikov, N. N. Ural'tseva, L. D. Faddeev
Uspekhi Mat. Nauk, 59:3(357) (2004),  151–152
55. To the 70th anniversary of Nina Nikolaevna Ural'tseva
A. A. Arkhipova, G. A. Seregin
Zap. Nauchn. Sem. POMI, 310 (2004),  7–18
56. Ol'ga Aleksandrovna Ladyzhenskaya (on her 80th birthday)
G. A. Seregin, N. N. Ural'tseva
Uspekhi Mat. Nauk, 58:2(350) (2003),  181–206
57. To Vsevolod Alekseevich Solonnikov on the occasion of his jubilee
I. V. Denisova, O. A. Ladyzhenskaya, G. A. Seregin, N. N. Ural'tseva, E. V. Frolova
Zap. Nauchn. Sem. POMI, 306 (2003),  7–15
58. To the jubillee of O. A. Ladyzhenskaya
A. A. Arkhipova, M. S. Birman, V. S. Buslaev, V. G. Osmolovskii, S. I. Repin, G. A. Seregin, N. N. Ural'tseva, T. N. Shilkin
Zap. Nauchn. Sem. POMI, 288 (2002),  5–13

Presentations in Math-Net.Ru
1. О гладкости решений уравнений Навье-Стокса
G. A. Seregin
International conference "Contemporary Problems of Mathematics, Mechanics, and Mathematical Physics" dedicated to the 150th anniversary of V. A. Steklov
May 17, 2013 11:45   
2. Global wellposedness and local regularity for Navier–Stokes Equations
G. Seregin
Mathematics - XXI century. PDMI 70th anniversary
September 17, 2010 13:30   
3. Mathematical problems of dynamics of generalized Newtonial fluids
G. A. Seregin
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
April 21, 1997

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