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Seregin, Gregory A.

Author ID: seregin.gregory-a Recent zbMATH articles by "Seregin, Gregory A."
Published as: Seregin, G. A.; Seregin, G.; Seregin, Gregory; Serëgin, G. A.; Seregin, Gregory A.; Serëgin, G.; Seregin, Gregori
Further Spellings: Серёгин Григорий Александрович
Homepage: https://www.maths.ox.ac.uk/people/gregory.seregin
External Links: ResearchGate · Math-Net.Ru
all top 5

Co-Authors

87 single-authored
17 Šverák, Vladimír
12 Fuchs, Martin
12 Ladyzhenskaya, Ol’ga Aleksandrovna
10 Repin, Sergeĭ Igorevich
7 Shilkin, T. N.
7 Ural’tseva, Nina Nikolaevna
6 Constantin, Peter
4 Escauriaza Zubiria, Luis
4 Rodrigues, José Francisco
3 Barker, Tobias
3 Denisova, Irina Vlad.
3 Friedlander, Susan Jean
3 Frolova, E. V.
3 Neittaanmäki, Pekka J.
3 Rivkind, Valeriĭ Yakovlevich
3 Titi, Edriss Saleh
2 Burczak, Jan
2 Frehse, Jens
2 Jia, Hao
2 Pileckas, Konstantin
2 Zajączkowski, Wojciech M.
1 Abe, Ken
1 Acerbi, Emilio
1 Arkhipova, Arina Alekseevna
1 Beirão da Veiga, Hugo
1 Bildhauer, Michael
1 Bizhanova, Galina I.
1 Cabré, Xavier
1 Carlen, Eric Anders
1 Chang, Sun-Yung Alice
1 Debussche, Arnaud
1 Döring, Andreas
1 Figalli, Alessio
1 Filonov, Nikolai D.
1 Flandoli, Franco
1 Galdi, Giovanni Paolo
1 Geĭderikh, L. D.
1 Gunzburger, Max Donald
1 Hounkpe, Francis
1 Kalantarov, Varga K.
1 Koch, Gabriel S.
1 Lax, Peter David
1 Lee, Hyung-Chun
1 Mahalov, Alex
1 Mazzucato, Anna L.
1 Mingione, Giuseppe
1 Nadirashvili, Nikolai S.
1 Nazarov, Alexander I.
1 Nicolaenko, Basil
1 Nirenberg, Louis
1 Ożański, Wojciech Sławomir
1 Palmer, Tim N.
1 Pukhnachov, Vladislav Vasil’evich
1 Růžička, Michael
1 Schonbek, Maria Elena
1 Silvestre, Luis E.
1 Solonnikov, Vsevolod Alekseevich
1 Sormani, Christina
1 Synge Morawetz, Cathleen
1 Troitskij, V. A.
1 Uratseva, N. N.
1 Urbano, José Miguel
1 Vishik, Marko Iosifovich
1 Wang, Mu-Tao
1 Wang, Wendong
1 Yau, Shing-Tung
1 Zelik, Sergey V.
1 Zhou, Daoguo
1 Zlatoš, Andrej
all top 5

Serials

38 Journal of Mathematical Sciences (New York)
14 St. Petersburg Mathematical Journal
11 Zapiski Nauchnykh Seminarov POMI
9 Journal of Mathematical Fluid Mechanics
5 Russian Mathematical Surveys
4 Journal of Applied Mathematics and Mechanics
4 Doklady Mathematics
4 Oberwolfach Reports
3 Algebra i Analiz
2 Archive for Rational Mechanics and Analysis
2 Nonlinearity
2 Differential Equations
2 Mathematische Annalen
2 Communications in Partial Differential Equations
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Soviet Physics. Doklady
2 U.S.S.R. Computational Mathematics and Mathematical Physics
2 Notices of the American Mathematical Society
2 Izvestiya: Mathematics
2 Discrete and Continuous Dynamical Systems
2 Problemy Matematicheskogo Analiza
2 Lecture Notes in Mathematics
2 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova
1 Computers & Mathematics with Applications
1 Communications in Mathematical Physics
1 Communications on Pure and Applied Mathematics
1 International Journal of Engineering Science
1 Journal of Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Mathematics of Computation
1 Acta Mathematica
1 Applied Mathematics and Optimization
1 Journal of Differential Equations
1 Journal of Soviet Mathematics
1 Manuscripta Mathematica
1 Mathematics of the USSR. Izvestiya
1 Mathematische Zeitschrift
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Soviet Mathematics. Doklady
1 Soviet Mathematics
1 Optimal Control Applications & Methods
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Leningrad Mathematical Journal
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
1 SIAM Journal on Mathematical Analysis
1 Advances in Mathematical Sciences and Applications
1 Calculus of Variations and Partial Differential Equations
1 Annales Universitatis Saraviensis. Series Mathematicae
1 NoDEA. Nonlinear Differential Equations and Applications
1 Journal of Convex Analysis
1 Italian Journal of Pure and Applied Mathematics
1 Communications in Contemporary Mathematics
1 Communications on Pure and Applied Analysis
1 Proceedings of the Steklov Institute of Mathematics
1 Analysis and Mathematical Physics
1 Progress in Nonlinear Differential Equations and Their Applications
1 Cambridge Mathematical Library

Publications by Year

Citations contained in zbMATH Open

128 Publications have been cited 2,362 times in 1,409 Documents Cited by Year
\(L_{3,\infty}\)-solutions of Navier-Stokes equations and backward uniqueness. Zbl 1064.35134
Escauriaza, L.; Serëgin, G. A.; Shverak, V.
346
2003
Liouville theorems for the Navier-Stokes equations and applications. Zbl 1208.35104
Koch, Gabriel; Nadirashvili, Nikolai; Seregin, Gregory A.; Šverák, Vladimir
178
2009
On partial regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations. Zbl 0954.35129
Ladyzhenskaya, O. A.; Seregin, G. A.
145
1999
Variational methods for problems from plasticity theory and for generalized Newtonian fluids. Zbl 0964.76003
Fuchs, Martin; Seregin, Gregory
126
2000
Backward uniqueness for parabolic equations. Zbl 1039.35052
Escauriaza, L.; Seregin, G.; Šverák, V.
117
2003
Regularity results for parabolic systems related to a class of non-Newtonian fluids. Zbl 1052.76004
Acerbi, E.; Mingione, G.; Seregin, G. A.
114
2004
Global existence of weak solutions for viscous incompressible flows around a moving rigid body in three dimensions. Zbl 0970.35096
Gunzburger, Max D.; Lee, Hyung-Chun; Seregin, Gregory A.
87
2000
Liouville type theorem for stationary Navier-Stokes equations. Zbl 1350.35047
Seregin, G.
75
2016
On divergence-free drifts. Zbl 1232.35027
Seregin, Gregory; Silvestre, Luis; Šverák, Vladimír; Zlatoš, Andrej
73
2012
On type I singularities of the local axi-symmetric solutions of the Navier-Stokes equations. Zbl 1180.35002
Seregin, G.; Šverák, V.
60
2009
Local regularity of suitable weak solutions to the Navier-Stokes equations near the boundary. Zbl 0997.35044
Seregin, G. A.
57
2002
Lecture notes on regularity theory for the Navier-Stokes equations. Zbl 1314.35001
Seregin, Gregory
56
2015
A certain necessary condition of potential blow up for Navier-Stokes equations. Zbl 1253.35105
Seregin, G.
51
2012
Navier-Stokes equations with lower bounds on the pressure. Zbl 1002.35094
Seregin, G.; Šverák, V.
46
2002
A regularity theory for variational integrals with \(L\ln L\)-growth. Zbl 0929.49022
Fuchs, Martin; Seregin, Gregory
39
1998
Remarks on Liouville type theorems for steady-state Navier-Stokes equations. Zbl 1412.35227
Seregin, G.
35
2019
Sufficient conditions on Liouville type theorems for the 3D steady Navier-Stokes equations. Zbl 1434.35063
Seregin, G.; Wang, W.
35
2020
Weak solutions to the Cauchy problem for the Navier-Stokes equations satisfying the local energy inequality. Zbl 1361.35130
Kikuchi, N.; Seregin, G.
34
2007
On smoothness of \(L_{3,\infty}\)-solutions to the Navier-Stokes equations up to boundary. Zbl 1072.35146
Seregin, G.
29
2005
Boundary partial regularity for the Navier-Stokes equations. Zbl 1095.35031
Seregin, G. A.; Shilkin, T. N.; Solonnikov, V. A.
25
2004
Variational methods for fluids of Prandtl-Eyring type and plastic materials with logarithmic hardening. Zbl 0928.76087
Fuchs, Martin; Seregin, Gregory
24
1999
Local regularity for suitable weak solutions of the Navier-Stokes equations. Zbl 1139.76018
Seregin, G. A.
23
2007
Global regularity of solutions of coupled Navier-Stokes equations and nonlinear Fokker Planck equations. Zbl 1191.35084
Constantin, Peter; Seregin, Gregory
21
2010
Some estimates near the boundary for solutions to the nonstationary linearized Navier-Stokes equations. Zbl 1037.35059
Seregin, G. A.
21
2000
Backward uniqueness for the heat operator in a half-space. Zbl 1053.35052
Escauriaza, L.; Seregin, G.; Šverák, V.
21
2004
On global weak solutions to the Cauchy problem for the Navier-Stokes equations with large \(L_3\)-initial data. Zbl 1361.35134
Seregin, G.; Šverák, V.
21
2017
Regularity of solutions to variational problems of the deformation theory of plasticity with logarithmic hardening. Zbl 0973.74033
Seregin, G. A.; Frehse, J.
20
1998
On the number of singular points of weak solutions to the Navier-Stokes equations. Zbl 1030.35133
Seregin, G. A.
20
2001
A sufficient condition of regularity for axially symmetric solutions to the Navier-Stokes equations. Zbl 1169.35366
Seregin, G.; Zajaczkowski, W.
16
2007
Regularity results for the quasi-static Bingham variational inequality in dimensions two and three. Zbl 0899.76044
Fuchs, Martin; Seregin, Gregory
14
1998
The real butterfly effect. Zbl 1322.34056
Palmer, T. N.; Döring, A.; Seregin, G.
14
2014
A necessary condition of potential blowup for the Navier-Stokes system in half-space. Zbl 1383.35138
Barker, T.; Seregin, G.
14
2017
On stability of weak Navier-Stokes solutions with large \(L^{3,\infty}\) initial data. Zbl 1405.35077
Barker, Tobias; Seregin, G.; Šverák, V.
13
2018
Hölder continuity for weak extremals of some two-dimensional variational problems related to nonlinear elasticity. Zbl 0929.49021
Fuchs, Martin; Seregin, Gregori
12
1997
Liouville-type theorems for the Navier-Stokes equations. Zbl 1416.35191
Seregin, G. A.; Shilkin, T. N.
12
2018
Differentiability of extremals of variational problems in the mechanics of elastic perfectly plastic media. Zbl 0655.73017
Seregin, G. A.
11
1987
Interior regularity for solutions to the modified Navier-Stokes equations. Zbl 0961.35106
Seregin, G. A.
11
1999
On a bounded shear flow in a half-space. Zbl 1308.35175
Seregin, G.; Sverak, V.
11
2011
Liouville theorems in unbounded domains for the time-dependent Stokes system. Zbl 1278.35177
Jia, Hao; Seregin, Gregory; Šverák, Vladimír
11
2012
A sufficient condition of local regularity for the Navier-Stokes equations. Zbl 1137.35056
Zajaczkowski, W.; Seregin, G. A.
11
2006
Navier-Stokes equations: almost \(L_{3,\infty}\)-case. Zbl 1128.35085
Seregin, G.
11
2007
Two-dimensional variational problems of the theory of plasticity. Zbl 0881.73039
Seregin, G. A.
11
1996
Liouville theorem for 2D Navier-Stokes equations in a half space. Zbl 1331.35067
Seregin, G.
11
2015
Some remarks on non-Newtonian fluids including nonconvex perturbations of the Bingham and Powell-Eyring model for viscoplastic fluids. Zbl 0882.76007
Fuchs, Martin; Seregin, Gregory
10
1997
Existence of a weak solution of the minimax problem arising in Coulomb-Mohr plasticity. Zbl 0890.73079
Repin, S.; Seregin, G.
10
1995
Hölder continuity of solutions of 2D Navier-Stokes equations with singular forcing. Zbl 1223.35099
Constantin, Peter; Seregin, Gregory
10
2010
A note on local boundary regularity for the Stokes system. Zbl 1288.35376
Seregin, G. A.
10
2010
Partial regularity of the deformation gradient for some model problems in nonlinear two-dimensional elasticity. Zbl 0827.73010
Fuchs, M.; Seregin, G.
9
1994
Estimates of suitable weak solutions to the Navier-Stokes equations in critical Morrey spaces. Zbl 1127.35042
Seregin, G. A.
9
2006
A note on necessary conditions for blow-up of energy solutions to the Navier-Stokes equations. Zbl 1247.35096
Seregin, Gregory
9
2011
On backward uniqueness for parabolic equations. Zbl 1068.35090
Escauriaza, L.; Seregin, G.; Šverák, V.
9
2002
Differentiability properties of weak solutions of the Navier-Stokes equations. Zbl 1039.35080
Seregin, G. A.
9
2003
Differentiability properties of weak solutions of certain variational problems in the theory of perfect elastoplastic plates. Zbl 0779.73086
Seregin, G. A.
8
1993
Necessary conditions of a potential blow-up for Navier-Stokes equations. Zbl 1304.35504
Seregin, G. A.
8
2011
The local regularity theory for the Navier-Stokes equations near the boundary. Zbl 1311.35190
Seregin, G. A.; Shilkin, T. N.
8
2014
The Navier–Stokes equations and backward uniqueness. Zbl 1024.76011
Seregin, Gregory; Šverák, Vladimir
8
2002
Ancient solutions to Navier-Stokes equations in half space. Zbl 1326.35233
Barker, T.; Seregin, G.
8
2015
Axisymmetric flows in the exterior of a cylinder. Zbl 1446.35092
Abe, K.; Seregin, G.
8
2020
A Liouville theorem for the Stokes system in a half-space. Zbl 1300.35094
Jia, H.; Seregin, G.; Sverak, V.
8
2013
Rescalings at possible singularities of Navier-Stokes equations in half-space. Zbl 1319.35165
Seregin, G.; Šverák, V.
8
2014
Local regularity of axisymmetric solutions to the Navier-Stokes equations. Zbl 1450.35097
Seregin, G.
8
2020
Error estimates for stresses in the finite element analysis of the two-dimensional elasto-plastic problems. Zbl 0899.73532
Repin, S.; Seregin, G.
7
1995
Regularity for minimizers of some variational problems in plasticity theory. Zbl 0904.49025
Seregin, G. A.; Shilkin, T. N.
7
1997
Remarks on regularity up to the boundary for solutions to variational problems in plasticity theory. Zbl 0954.74508
Seregin, G. A.
7
1996
New version of the Ladyzhenskaya-Prodi-Serrin condition. Zbl 1129.35060
Seregin, G. A.
7
2007
On semigroups generated by initial-boundary value problems describing two-dimensional visco-plastic flows. Zbl 0846.35068
Ladyzhenskaya, O.; Serëgin, G.
6
1995
Continuity for the strain velocity tensor in two-dimensional variational problems from the theory of the Bingham fluid. Zbl 0953.49002
Seregin, Gregory
6
1997
On differentiability properties of the stress tensor in the Coulomb-Mohr theory of plasticity. Zbl 0838.73029
Seregin, G. A.
6
1992
On smoothness of suitable weak solutions to the Navier-Stokes equations. Zbl 1148.35344
Seregin, G.; Šverák, V.
6
2005
Remarks on the regularity of weak solutions to the Navier-Stokes equations near the boundary. Zbl 1083.35098
Seregin, G. A.
6
2003
On the regularity of the minimizers of some variational problems of the plasticity theory. Zbl 0791.73084
Seregin, G. A.
5
1992
A local estimate of the type of the Caccioppoli inequality for extremals of the Hencky variational plasticity problems. Zbl 0769.73098
Serëgin, G. A.
5
1988
On the regularity of weak solutions of variational problems in the theory of plasticity. Zbl 0704.73104
Seregin, G. A.
5
1990
Regularity of solutions of two-dimensional equations in fluid dynamics models with nonlinear viscosity. Zbl 1060.76005
Ladyzhenskaya, O. A.; Seregin, G. A.
5
1999
A slightly supercritical condition of regularity of axisymmetric solutions to the Navier-Stokes equations. Zbl 1513.76060
Seregin, G.
5
2022
A note on local regularity of axisymmetric solutions to the Navier-Stokes equations. Zbl 1518.76014
Seregin, G.
5
2022
Regularity of solutions to the Navier-Stokes equations in \(\dot{B}_{\infty, \infty}^{-1} \). Zbl 1448.35370
Seregin, G.; Zhou, D.
5
2020
On a method of approximation of initial boundary value problems for the Navier-Stokes equations. Zbl 0830.76019
Ladyzhenskaya, O. A.; Seregin, G. A.
4
1992
Variational methods for problems from plasticity theory and for generalized Newtonian fluids. Zbl 0943.74076
Fuchs, Martin; Seregin, Gregory
4
1999
On differential properties of extremals of variational problems arising in the theory of plasticity. Zbl 0709.73021
Seregin, G. A.
4
1990
On a method of approximate solution of initial-boundary value problems for the Navier-Stokes equations. Zbl 0773.76024
Ladyzhenskaya, O. A.; Seregin, G. A.
4
1992
On Type I blowups of suitable weak solutions to the Navier-Stokes equations near boundary. Zbl 1508.35044
Seregin, G.
4
2022
Variational-difference schemes for problems of mechanics of ideally elasto-plastic media. Zbl 0566.73031
Serëgin, G. A.
4
1985
A global nonlinear evolution problem for generalized Newtonian fluids: Local initial regularity of the strong solution. Zbl 1122.76008
Fuchs, M.; Seregin, G.
4
2007
Leray-Hopf solutions to Navier-Stokes equations with weakly converging initial data. Zbl 1296.35124
Seregin, Gregory
4
2012
Differential properties of solutions of variational problems for functionals of linear growth. Zbl 0773.49020
Serëgin, G. A.
3
1990
The uniqueness of solutions of some variational problems of the theory of phase equilibrium in solid bodies. Zbl 0863.73079
Seregin, G. A.
3
1995
Full regularity for a class of degenerated parabolic systems in two spatial variables. Zbl 0931.35029
Frehse, J.; Seregin, G. A.
3
1999
Partial regularity of the deformation gradient for some model problems in nonlinear two-dimensional elasticity. Zbl 0839.73009
Fuchs, M.; Seregin, G.
3
1994
On the regularity of minimizers of some variational problems of the theory of plasticity. Zbl 0778.73085
Seregin, G. A.
3
1992
On differential properties of extremals of variational problems of the mechanics of viscoplastic media. Zbl 0734.73096
Seregin, G. A.
3
1991
Differential properties of solutions of variational problems for functionals of linear growth. Zbl 0791.49040
Serëgin, G. A.
3
1990
Variation-difference schemes for problems in the mechanics of ideally elastoplastic media. Zbl 0584.73039
Serëgin, G. A.
3
1985
Some remarks on the mollification of piecewise-linear homeomorphisms. Zbl 0927.49001
Seregin, G. A.; Shilkin, T. N.
3
1995
Olga Alexandrovna Ladyzhenskaya (1922–2004). Zbl 1168.01327
Friedlander, Susan; Lax, Peter; Morawetz, Cathleen; Nirenberg, Louis; Seregin, Gregory; Ural’tseva, Nina; Vishik, Mark
3
2004
Time decay for solutions to the Stokes equations with drift. Zbl 1390.35237
Schonbek, M.; Seregin, G.
3
2018
A note on weak solutions to the Navier-Stokes equations that are locally in \(L_\infty (L^{3,\infty })\). Zbl 1464.35192
Seregin, G.
3
2021
On regularity properties of a surface growth model. Zbl 1479.35166
Burczak, Jan; Ożański, Wojciech S.; Seregin, Gregory
3
2021
On a global stability of the two-dimensional visco-plastic flows. Zbl 0790.73027
Ladyzhenskaya, O.; Seregin, G.
2
1993
The regularity properties of solutions of variational problems in the theory of phase transitions in elastic solids. Zbl 0947.74019
Seregin, G. A.
2
1995
A slightly supercritical condition of regularity of axisymmetric solutions to the Navier-Stokes equations. Zbl 1513.76060
Seregin, G.
5
2022
A note on local regularity of axisymmetric solutions to the Navier-Stokes equations. Zbl 1518.76014
Seregin, G.
5
2022
On Type I blowups of suitable weak solutions to the Navier-Stokes equations near boundary. Zbl 1508.35044
Seregin, G.
4
2022
Attractors for semigroups and evolution equations. With an introduction by Gregory A. Seregin, Varga K. Kalantarov and Sergey V. Zelik. Reprint of the 1991 edition with a new introduction. Zbl 1496.47001
Ladyzhenskaya, Olga A.
2
2022
A note on weak solutions to the Navier-Stokes equations that are locally in \(L_\infty (L^{3,\infty })\). Zbl 1464.35192
Seregin, G.
3
2021
On regularity properties of a surface growth model. Zbl 1479.35166
Burczak, Jan; Ożański, Wojciech S.; Seregin, Gregory
3
2021
Sufficient conditions on Liouville type theorems for the 3D steady Navier-Stokes equations. Zbl 1434.35063
Seregin, G.; Wang, W.
35
2020
Axisymmetric flows in the exterior of a cylinder. Zbl 1446.35092
Abe, K.; Seregin, G.
8
2020
Local regularity of axisymmetric solutions to the Navier-Stokes equations. Zbl 1450.35097
Seregin, G.
8
2020
Regularity of solutions to the Navier-Stokes equations in \(\dot{B}_{\infty, \infty}^{-1} \). Zbl 1448.35370
Seregin, G.; Zhou, D.
5
2020
Remarks on Liouville type theorems for steady-state Navier-Stokes equations. Zbl 1412.35227
Seregin, G.
35
2019
On stability of weak Navier-Stokes solutions with large \(L^{3,\infty}\) initial data. Zbl 1405.35077
Barker, Tobias; Seregin, G.; Šverák, V.
13
2018
Liouville-type theorems for the Navier-Stokes equations. Zbl 1416.35191
Seregin, G. A.; Shilkin, T. N.
12
2018
Time decay for solutions to the Stokes equations with drift. Zbl 1390.35237
Schonbek, M.; Seregin, G.
3
2018
On global weak solutions to the Cauchy problem for the Navier-Stokes equations with large \(L_3\)-initial data. Zbl 1361.35134
Seregin, G.; Šverák, V.
21
2017
A necessary condition of potential blowup for the Navier-Stokes system in half-space. Zbl 1383.35138
Barker, T.; Seregin, G.
14
2017
Remark on Wolf’s condition for boundary regularity of the Navier-Stokes equations. Zbl 1373.35067
Seregin, G.
2
2017
Liouville type theorem for stationary Navier-Stokes equations. Zbl 1350.35047
Seregin, G.
75
2016
Lecture notes on regularity theory for the Navier-Stokes equations. Zbl 1314.35001
Seregin, Gregory
56
2015
Liouville theorem for 2D Navier-Stokes equations in a half space. Zbl 1331.35067
Seregin, G.
11
2015
Ancient solutions to Navier-Stokes equations in half space. Zbl 1326.35233
Barker, T.; Seregin, G.
8
2015
The real butterfly effect. Zbl 1322.34056
Palmer, T. N.; Döring, A.; Seregin, G.
14
2014
The local regularity theory for the Navier-Stokes equations near the boundary. Zbl 1311.35190
Seregin, G. A.; Shilkin, T. N.
8
2014
Rescalings at possible singularities of Navier-Stokes equations in half-space. Zbl 1319.35165
Seregin, G.; Šverák, V.
8
2014
A Liouville theorem for the Stokes system in a half-space. Zbl 1300.35094
Jia, H.; Seregin, G.; Sverak, V.
8
2013
Selected topics of local regularity theory for Navier-Stokes equations. Zbl 1301.35094
Seregin, Gregory
2
2013
On divergence-free drifts. Zbl 1232.35027
Seregin, Gregory; Silvestre, Luis; Šverák, Vladimír; Zlatoš, Andrej
73
2012
A certain necessary condition of potential blow up for Navier-Stokes equations. Zbl 1253.35105
Seregin, G.
51
2012
Liouville theorems in unbounded domains for the time-dependent Stokes system. Zbl 1278.35177
Jia, Hao; Seregin, Gregory; Šverák, Vladimír
11
2012
Leray-Hopf solutions to Navier-Stokes equations with weakly converging initial data. Zbl 1296.35124
Seregin, Gregory
4
2012
A note on bounded scale-invariant quantities for the Navier-Stokes equations. Zbl 1261.35112
Seregin, G.
2
2012
On a bounded shear flow in a half-space. Zbl 1308.35175
Seregin, G.; Sverak, V.
11
2011
A note on necessary conditions for blow-up of energy solutions to the Navier-Stokes equations. Zbl 1247.35096
Seregin, Gregory
9
2011
Necessary conditions of a potential blow-up for Navier-Stokes equations. Zbl 1304.35504
Seregin, G. A.
8
2011
Weak solutions to the Navier-Stokes equations with bounded scale-invariant quantities. Zbl 1229.35191
Seregin, Gregory A.
1
2011
Global regularity of solutions of coupled Navier-Stokes equations and nonlinear Fokker Planck equations. Zbl 1191.35084
Constantin, Peter; Seregin, Gregory
21
2010
Hölder continuity of solutions of 2D Navier-Stokes equations with singular forcing. Zbl 1223.35099
Constantin, Peter; Seregin, Gregory
10
2010
A note on local boundary regularity for the Stokes system. Zbl 1288.35376
Seregin, G. A.
10
2010
Liouville theorems for the Navier-Stokes equations and applications. Zbl 1208.35104
Koch, Gabriel; Nadirashvili, Nikolai; Seregin, Gregory A.; Šverák, Vladimir
178
2009
On type I singularities of the local axi-symmetric solutions of the Navier-Stokes equations. Zbl 1180.35002
Seregin, G.; Šverák, V.
60
2009
Reverse Hölder inequality for a class of suitable weak solutions to the Navier-Stokes equations. Zbl 1315.35146
Seregin, G. A.
2
2009
To the 75th birthday of Vsevolod Alekseevich Solonnikov. Zbl 1175.01073
Denisova, I. V.; Pileckas, K. I.; Repin, S. I.; Seregin, G. A.; Uraltseva, N. N.; Frolova, E. V.
1
2009
New sufficient conditions of local regularity for solutions to the Navier-Stokes equations. Zbl 1162.76325
Mahalov, A.; Nicolaenko, B.; Seregin, G.
2
2008
Weak solutions to the Cauchy problem for the Navier-Stokes equations satisfying the local energy inequality. Zbl 1361.35130
Kikuchi, N.; Seregin, G.
34
2007
Local regularity for suitable weak solutions of the Navier-Stokes equations. Zbl 1139.76018
Seregin, G. A.
23
2007
A sufficient condition of regularity for axially symmetric solutions to the Navier-Stokes equations. Zbl 1169.35366
Seregin, G.; Zajaczkowski, W.
16
2007
Navier-Stokes equations: almost \(L_{3,\infty}\)-case. Zbl 1128.35085
Seregin, G.
11
2007
New version of the Ladyzhenskaya-Prodi-Serrin condition. Zbl 1129.35060
Seregin, G. A.
7
2007
A global nonlinear evolution problem for generalized Newtonian fluids: Local initial regularity of the strong solution. Zbl 1122.76008
Fuchs, M.; Seregin, G.
4
2007
A sufficient condition of local regularity for the Navier-Stokes equations. Zbl 1137.35056
Zajaczkowski, W.; Seregin, G. A.
11
2006
Estimates of suitable weak solutions to the Navier-Stokes equations in critical Morrey spaces. Zbl 1127.35042
Seregin, G. A.
9
2006
On smoothness of \(L_{3,\infty}\)-solutions to the Navier-Stokes equations up to boundary. Zbl 1072.35146
Seregin, G.
29
2005
On smoothness of suitable weak solutions to the Navier-Stokes equations. Zbl 1148.35344
Seregin, G.; Šverák, V.
6
2005
Trends in partial differential equations of mathematical physics. Selected papers of the international conference held on the occasion of the 70th birthday of V. A. Solonnikov, Óbidos, Portugal, June 7–10, 2003. Zbl 1062.35005
1
2005
Boundary value problems of mathematical physics and related problems of function theory. Part 34. Transl. from the Russian. Zbl 1078.34501
1
2005
Regularity results for parabolic systems related to a class of non-Newtonian fluids. Zbl 1052.76004
Acerbi, E.; Mingione, G.; Seregin, G. A.
114
2004
Boundary partial regularity for the Navier-Stokes equations. Zbl 1095.35031
Seregin, G. A.; Shilkin, T. N.; Solonnikov, V. A.
25
2004
Backward uniqueness for the heat operator in a half-space. Zbl 1053.35052
Escauriaza, L.; Seregin, G.; Šverák, V.
21
2004
Olga Alexandrovna Ladyzhenskaya (1922–2004). Zbl 1168.01327
Friedlander, Susan; Lax, Peter; Morawetz, Cathleen; Nirenberg, Louis; Seregin, Gregory; Ural’tseva, Nina; Vishik, Mark
3
2004
\(L_{3,\infty}\)-solutions of Navier-Stokes equations and backward uniqueness. Zbl 1064.35134
Escauriaza, L.; Serëgin, G. A.; Shverak, V.
346
2003
Backward uniqueness for parabolic equations. Zbl 1039.35052
Escauriaza, L.; Seregin, G.; Šverák, V.
117
2003
Differentiability properties of weak solutions of the Navier-Stokes equations. Zbl 1039.35080
Seregin, G. A.
9
2003
Remarks on the regularity of weak solutions to the Navier-Stokes equations near the boundary. Zbl 1083.35098
Seregin, G. A.
6
2003
Ol’ga Aleksandrovna Ladyzhenskaya (on the occasion of her eightieth birthday). Zbl 1050.01524
Serëgin, G. A.; Ural’tseva, N. N.
1
2003
Local regularity of suitable weak solutions to the Navier-Stokes equations near the boundary. Zbl 0997.35044
Seregin, G. A.
57
2002
Navier-Stokes equations with lower bounds on the pressure. Zbl 1002.35094
Seregin, G.; Šverák, V.
46
2002
On backward uniqueness for parabolic equations. Zbl 1068.35090
Escauriaza, L.; Seregin, G.; Šverák, V.
9
2002
The Navier–Stokes equations and backward uniqueness. Zbl 1024.76011
Seregin, Gregory; Šverák, Vladimir
8
2002
On the number of singular points of weak solutions to the Navier-Stokes equations. Zbl 1030.35133
Seregin, G. A.
20
2001
Local regularity of solutions of variational problems for the equilibrium configuration of an incompressible, multiphase elastic body. Zbl 0984.49021
Bildhauer, Michael; Fuchs, Martin; Seregin, Gregory
1
2001
Variational methods for problems from plasticity theory and for generalized Newtonian fluids. Zbl 0964.76003
Fuchs, Martin; Seregin, Gregory
126
2000
Global existence of weak solutions for viscous incompressible flows around a moving rigid body in three dimensions. Zbl 0970.35096
Gunzburger, Max D.; Lee, Hyung-Chun; Seregin, Gregory A.
87
2000
Some estimates near the boundary for solutions to the nonstationary linearized Navier-Stokes equations. Zbl 1037.35059
Seregin, G. A.
21
2000
A two-dimensional variational model for the equilibrium configuration of an incompressible, elastic body with a three-well elastic potential. Zbl 1032.74028
Fuchs, Martin; Seregin, Gregory
2
2000
Coercive estimates for solutions of linearizations of modified Navier-Stokes equations. Zbl 1047.35111
Ladyzhenskaya, O. A.; Seregin, G. A.
2
2000
On partial regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations. Zbl 0954.35129
Ladyzhenskaya, O. A.; Seregin, G. A.
145
1999
Variational methods for fluids of Prandtl-Eyring type and plastic materials with logarithmic hardening. Zbl 0928.76087
Fuchs, Martin; Seregin, Gregory
24
1999
Interior regularity for solutions to the modified Navier-Stokes equations. Zbl 0961.35106
Seregin, G. A.
11
1999
Regularity of solutions of two-dimensional equations in fluid dynamics models with nonlinear viscosity. Zbl 1060.76005
Ladyzhenskaya, O. A.; Seregin, G. A.
5
1999
Variational methods for problems from plasticity theory and for generalized Newtonian fluids. Zbl 0943.74076
Fuchs, Martin; Seregin, Gregory
4
1999
Full regularity for a class of degenerated parabolic systems in two spatial variables. Zbl 0931.35029
Frehse, J.; Seregin, G. A.
3
1999
\(J^1_p\)-quasiconvexity and variational problems on sets of solenoidal vector fields. Zbl 0938.74080
Seregin, G. A.
2
1999
A regularity theory for variational integrals with \(L\ln L\)-growth. Zbl 0929.49022
Fuchs, Martin; Seregin, Gregory
39
1998
Regularity of solutions to variational problems of the deformation theory of plasticity with logarithmic hardening. Zbl 0973.74033
Seregin, G. A.; Frehse, J.
20
1998
Regularity results for the quasi-static Bingham variational inequality in dimensions two and three. Zbl 0899.76044
Fuchs, Martin; Seregin, Gregory
14
1998
Smoothness of solutions of equations describing generalized Newtonian flows and estimates for the dimensions of their attractors. Zbl 0920.35113
Ladyzhenskaya, O. A.; Seregin, G. A.
2
1998
Variational problem on the phase equilibrium of an elastic body. Zbl 0923.73080
Seregin, G. A.
2
1998
Hölder continuity for weak extremals of some two-dimensional variational problems related to nonlinear elasticity. Zbl 0929.49021
Fuchs, Martin; Seregin, Gregori
12
1997
Some remarks on non-Newtonian fluids including nonconvex perturbations of the Bingham and Powell-Eyring model for viscoplastic fluids. Zbl 0882.76007
Fuchs, Martin; Seregin, Gregory
10
1997
Regularity for minimizers of some variational problems in plasticity theory. Zbl 0904.49025
Seregin, G. A.; Shilkin, T. N.
7
1997
Continuity for the strain velocity tensor in two-dimensional variational problems from the theory of the Bingham fluid. Zbl 0953.49002
Seregin, Gregory
6
1997
Flow of the two-dimensional generalized Newtonian fluid. Zbl 0891.35118
Seregin, G. A.
2
1997
Two-dimensional variational problems of the theory of plasticity. Zbl 0881.73039
Seregin, G. A.
11
1996
Remarks on regularity up to the boundary for solutions to variational problems in plasticity theory. Zbl 0954.74508
Seregin, G. A.
7
1996
Existence of a weak solution of the minimax problem arising in Coulomb-Mohr plasticity. Zbl 0890.73079
Repin, S.; Seregin, G.
10
1995
Error estimates for stresses in the finite element analysis of the two-dimensional elasto-plastic problems. Zbl 0899.73532
Repin, S.; Seregin, G.
7
1995
On semigroups generated by initial-boundary value problems describing two-dimensional visco-plastic flows. Zbl 0846.35068
Ladyzhenskaya, O.; Serëgin, G.
6
1995
The uniqueness of solutions of some variational problems of the theory of phase equilibrium in solid bodies. Zbl 0863.73079
Seregin, G. A.
3
1995
Some remarks on the mollification of piecewise-linear homeomorphisms. Zbl 0927.49001
Seregin, G. A.; Shilkin, T. N.
3
1995
The regularity properties of solutions of variational problems in the theory of phase transitions in elastic solids. Zbl 0947.74019
Seregin, G. A.
2
1995
...and 28 more Documents
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Cited by 1,182 Authors

41 Seregin, Gregory A.
37 Fuchs, Martin
29 Chae, Dongho
25 Zhang, Zujin
21 Barker, Tobias
20 Kang, Kyungkeun
20 Skalák, Zdeněk
20 Wang, Yanqing
19 Bildhauer, Michael
19 Wang, Wendong
18 Liu, Qiao
18 Repin, Sergeĭ Igorevich
18 Takahashi, Takéo
17 Yang, Minsuk
16 Nečasová, Šárka
16 Šverák, Vladimír
16 Tsai, Tai-Peng
16 Wolf, Jörg
16 Wu, Fan
15 Beirão da Veiga, Hugo
15 Gmeineder, Franz
15 Mingione, Giuseppe
15 Wu, Gang
14 Pan, Xinghong
14 Prange, Christophe
13 Breit, Dominic
13 Neustupa, Jiří
12 Antontsev, Stanislav Nikolaevich
12 Guo, Zhengguang
11 Albritton, Dallas
11 Bradshaw, Zachary
11 Zhang, Zhifei
10 Dong, Hongjie
10 Kukavica, Igor
10 Zhou, Daoguo
10 Zhou, Yong
9 Abe, Ken
9 Bögelein, Verena
9 Carstensen, Carsten
9 Choe, Hi Jun
9 Duzaar, Frank
9 Lei, Zhen
9 Yang, Jiaqi
9 Zhang, Qi-Shuhuason
8 Berselli, Luigi Carlo
8 Burczak, Jan
8 Granucci, Tiziano
8 Hillairet, Matthieu
8 Kim, Jaemyoung
8 Leonetti, Francesco
8 Robinson, James Cooper
8 Růžička, Michael
8 Zhang, Ting
7 Bae, Hyeong-Ohk
7 Chamorro, Diego
7 Chen, Hui
7 Diening, Lars
7 Gao, Hongya
7 Han, Pigong
7 Haslinger, Jaroslav
7 Jarrín, Oscar
7 Kozono, Hideo
7 Kučera, Petr
7 Lemarié-Rieusset, Pierre Gilles
7 Ożański, Wojciech Sławomir
7 Sin, Cholmin
7 Sysala, Stanislav
7 Terasawa, Yutaka
7 Vicol, Vlad C.
7 Wakasugi, Yuta
6 Bulíček, Miroslav
6 Ding, Huiting
6 Fan, Jishan
6 Farwig, Reinhard
6 Giga, Yoshikazu
6 Jin, Bumja
6 Li, Zijin
6 Liu, Pan
6 Miura, Hideyuki
6 Mizoguchi, Noriko
6 Oskolkov, Anatolii Petrovich
6 Qian, Chenyin
6 Roy, Arnab
6 Shmarev, Sergey I.
6 Tan, Zhong
6 Vasseur, Alexis F.
6 Wang, Changyou
6 Yamazaki, Kazuo
6 Yao, Zhengan
6 Yu, Xinwei
6 Zhang, Ping
6 Zhao, Jihong
5 Cheskidov, Alexey
5 Cianchi, Andrea
5 Crispo, Francesca
5 De los Reyes, Juan Carlos
5 Escauriaza Zubiria, Luis
5 Fernández-Dalgo, Pedro Gabriel
5 Friedlander, Susan Jean
5 Fu, Yongqiang
...and 1,082 more Authors
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Cited in 233 Serials

94 Journal of Differential Equations
78 Journal of Mathematical Fluid Mechanics
73 Journal of Mathematical Analysis and Applications
64 Archive for Rational Mechanics and Analysis
64 Journal of Mathematical Sciences (New York)
51 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
31 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
29 SIAM Journal on Mathematical Analysis
29 Calculus of Variations and Partial Differential Equations
28 Mathematical Methods in the Applied Sciences
26 Nonlinear Analysis. Real World Applications
24 Communications in Mathematical Physics
23 Nonlinearity
23 Journal of Functional Analysis
21 Journal of Mathematical Physics
21 Applied Mathematics Letters
18 Mathematische Annalen
18 Communications in Partial Differential Equations
18 Discrete and Continuous Dynamical Systems
17 ZAMP. Zeitschrift für angewandte Mathematik und Physik
16 Communications on Pure and Applied Analysis
14 Computers & Mathematics with Applications
14 Manuscripta Mathematica
14 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
13 Journal de Mathématiques Pures et Appliquées. Neuvième Série
11 Acta Applicandae Mathematicae
11 The Journal of Geometric Analysis
11 Journal of Nonlinear Science
11 Communications in Contemporary Mathematics
10 Advances in Mathematics
10 St. Petersburg Mathematical Journal
10 NoDEA. Nonlinear Differential Equations and Applications
10 Journal of Evolution Equations
10 Science China. Mathematics
9 Transactions of the American Mathematical Society
9 Boundary Value Problems
8 Applicable Analysis
8 Applications of Mathematics
8 Acta Mathematica Scientia. Series B. (English Edition)
8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
8 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
7 Computer Methods in Applied Mechanics and Engineering
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Proceedings of the American Mathematical Society
7 Zeitschrift für Analysis und ihre Anwendungen
7 Chinese Annals of Mathematics. Series B
6 Communications on Pure and Applied Mathematics
6 Journal of Fluid Mechanics
6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
6 Acta Mathematica Sinica. English Series
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Journal of Elliptic and Parabolic Equations
5 Applied Mathematics and Optimization
5 Indiana University Mathematics Journal
5 Mathematische Nachrichten
5 Physica D
5 Bulletin of the American Mathematical Society. New Series
5 Discrete and Continuous Dynamical Systems. Series S
5 Analysis & PDE
5 Advances in Nonlinear Analysis
4 Annales Polonici Mathematici
4 Journal of the London Mathematical Society. Second Series
4 Numerische Mathematik
4 Bulletin of the Korean Mathematical Society
4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
4 Journal of Dynamics and Differential Equations
4 Annals of Mathematics. Second Series
4 Annales Henri Poincaré
4 Discrete and Continuous Dynamical Systems. Series B
4 Complex Variables and Elliptic Equations
4 Afrika Matematika
4 Evolution Equations and Control Theory
4 Journal of Function Spaces
4 Séminaire Laurent Schwartz. EDP et Applications
3 Journal of Applied Mathematics and Mechanics
3 Applied Mathematics and Computation
3 Journal of Computational and Applied Mathematics
3 Monatshefte für Mathematik
3 SIAM Journal on Control and Optimization
3 Revista Matemática Iberoamericana
3 Potential Analysis
3 Topological Methods in Nonlinear Analysis
3 Electronic Journal of Differential Equations (EJDE)
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Abstract and Applied Analysis
3 Mediterranean Journal of Mathematics
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Proceedings of the Steklov Institute of Mathematics
3 Journal of Physics A: Mathematical and Theoretical
3 Mathematical Control and Related Fields
3 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
3 Proceedings of the American Mathematical Society. Series B
3 Mathematics in Engineering
3 SN Partial Differential Equations and Applications
2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
2 Journal d’Analyse Mathématique
2 Journal of Statistical Physics
2 Rocky Mountain Journal of Mathematics
2 Russian Mathematical Surveys
2 Mathematics of Computation
...and 133 more Serials
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Cited in 44 Fields

1,262 Partial differential equations (35-XX)
876 Fluid mechanics (76-XX)
115 Mechanics of deformable solids (74-XX)
104 Calculus of variations and optimal control; optimization (49-XX)
56 Functional analysis (46-XX)
42 Numerical analysis (65-XX)
33 Harmonic analysis on Euclidean spaces (42-XX)
24 Real functions (26-XX)
23 Systems theory; control (93-XX)
19 Operator theory (47-XX)
18 Dynamical systems and ergodic theory (37-XX)
18 Geophysics (86-XX)
17 Statistical mechanics, structure of matter (82-XX)
12 Probability theory and stochastic processes (60-XX)
11 Measure and integration (28-XX)
11 Global analysis, analysis on manifolds (58-XX)
11 Biology and other natural sciences (92-XX)
10 Classical thermodynamics, heat transfer (80-XX)
9 Mechanics of particles and systems (70-XX)
8 Differential geometry (53-XX)
7 History and biography (01-XX)
7 Potential theory (31-XX)
6 Quantum theory (81-XX)
6 Information and communication theory, circuits (94-XX)
5 Functions of a complex variable (30-XX)
5 Ordinary differential equations (34-XX)
4 Special functions (33-XX)
4 Optics, electromagnetic theory (78-XX)
4 Operations research, mathematical programming (90-XX)
3 Astronomy and astrophysics (85-XX)
2 General and overarching topics; collections (00-XX)
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2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Commutative algebra (13-XX)
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1 Sequences, series, summability (40-XX)
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1 Geometry (51-XX)
1 General topology (54-XX)
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