×

Seregin, Gregory A.

Compute Distance To:
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

Serials

38 Journal of Mathematical Sciences (New York)
14 St. Petersburg Mathematical Journal
11 Zapiski Nauchnykh Seminarov POMI
9 Journal of Mathematical Fluid Mechanics
4 Journal of Applied Mathematics and Mechanics
4 Russian Mathematical Surveys
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 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

117 Publications have been cited 1,752 times in 1,040 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.
230
2003
Liouville theorems for the Navier-Stokes equations and applications. Zbl 1208.35104
Koch, Gabriel; Nadirashvili, Nikolai; Seregin, Gregory A.; Šverák, Vladimir
123
2009
On partial regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations. Zbl 0954.35129
Ladyzhenskaya, O. A.; Seregin, G. A.
120
1999
Regularity results for parabolic systems related to a class of non-Newtonian fluids. Zbl 1052.76004
Acerbi, E.; Mingione, G.; Seregin, G. A.
95
2004
Backward uniqueness for parabolic equations. Zbl 1039.35052
Escauriaza, L.; Seregin, G.; Šverák, V.
93
2003
Variational methods for problems from plasticity theory and for generalized Newtonian fluids. Zbl 0964.76003
Fuchs, Martin; Seregin, Gregory
88
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.
64
2000
On divergence-free drifts. Zbl 1232.35027
Seregin, Gregory; Silvestre, Luis; Šverák, Vladimír; Zlatoš, Andrej
53
2012
On type I singularities of the local axi-symmetric solutions of the Navier-Stokes equations. Zbl 1180.35002
Seregin, G.; Šverák, V.
52
2009
Local regularity of suitable weak solutions to the Navier-Stokes equations near the boundary. Zbl 0997.35044
Seregin, G. A.
52
2002
Navier-Stokes equations with lower bounds on the pressure. Zbl 1002.35094
Seregin, G.; Šverák, V.
41
2002
Liouville type theorem for stationary Navier-Stokes equations. Zbl 1350.35047
Seregin, G.
40
2016
A certain necessary condition of potential blow up for Navier-Stokes equations. Zbl 1253.35105
Seregin, G.
38
2012
Lecture notes on regularity theory for the Navier-Stokes equations. Zbl 1314.35001
Seregin, Gregory
33
2015
A regularity theory for variational integrals with \(L\ln L\)-growth. Zbl 0929.49022
Fuchs, Martin; Seregin, Gregory
29
1998
Weak solutions to the Cauchy problem for the Navier-Stokes equations satisfying the local energy inequality. Zbl 1361.35130
Kikuchi, N.; Seregin, G.
26
2007
On smoothness of \(L_{3,\infty}\)-solutions to the Navier-Stokes equations up to boundary. Zbl 1072.35146
Seregin, G.
26
2005
Variational methods for fluids of Prandtl-Eyring type and plastic materials with logarithmic hardening. Zbl 0928.76087
Fuchs, Martin; Seregin, Gregory
21
1999
Boundary partial regularity for the Navier-Stokes equations. Zbl 1095.35031
Seregin, G. A.; Shilkin, T. N.; Solonnikov, V. A.
19
2004
Some estimates near the boundary for solutions to the nonstationary linearized Navier-Stokes equations. Zbl 1037.35059
Seregin, G. A.
17
2000
Global regularity of solutions of coupled Navier-Stokes equations and nonlinear Fokker Planck equations. Zbl 1191.35084
Constantin, Peter; Seregin, Gregory
16
2010
On the number of singular points of weak solutions to the Navier-Stokes equations. Zbl 1030.35133
Seregin, G. A.
16
2001
Local regularity for suitable weak solutions of the Navier-Stokes equations. Zbl 1139.76018
Seregin, G. A.
15
2007
Regularity results for the quasi-static Bingham variational inequality in dimensions two and three. Zbl 0899.76044
Fuchs, Martin; Seregin, Gregory
14
1998
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.
13
2017
A sufficient condition of regularity for axially symmetric solutions to the Navier-Stokes equations. Zbl 1169.35366
Seregin, G.; Zajaczkowski, W.
12
2007
A necessary condition of potential blowup for the Navier-Stokes system in half-space. Zbl 1383.35138
Barker, T.; Seregin, G.
11
2017
Backward uniqueness for the heat operator in a half-space. Zbl 1053.35052
Escauriaza, L.; Seregin, G.; Šverák, V.
11
2004
Regularity of solutions to variational problems of the deformation theory of plasticity with logarithmic hardening. Zbl 0973.74033
Seregin, G. A.; Frehse, J.
10
1998
Existence of a weak solution of the minimax problem arising in Coulomb-Mohr plasticity. Zbl 0890.73079
Repin, S.; Seregin, G.
10
1995
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
Navier-Stokes equations: almost \(L_{3,\infty}\)-case. Zbl 1128.35085
Seregin, G.
10
2007
Interior regularity for solutions to the modified Navier-Stokes equations. Zbl 0961.35106
Seregin, G. A.
10
1999
Hölder continuity for weak extremals of some two-dimensional variational problems related to nonlinear elasticity. Zbl 0929.49021
Fuchs, Martin; Seregin, Gregori
9
1997
Differentiability properties of weak solutions of certain variational problems in the theory of perfect elastoplastic plates. Zbl 0779.73086
Seregin, G. A.
9
1993
Liouville theorem for 2D Navier-Stokes equations in a half space. Zbl 1331.35067
Seregin, G.
9
2015
Sufficient conditions on Liouville type theorems for the 3D steady Navier-Stokes equations. Zbl 1434.35063
Seregin, G.; Wang, W.
9
2020
Liouville theorems in unbounded domains for the time-dependent Stokes system. Zbl 1278.35177
Jia, Hao; Seregin, Gregory; Šverák, Vladimír
8
2012
On backward uniqueness for parabolic equations. Zbl 1068.35090
Escauriaza, L.; Seregin, G.; Šverák, V.
8
2002
Two-dimensional variational problems of the theory of plasticity. Zbl 0881.73039
Seregin, G. A.
8
1996
Differentiability properties of weak solutions of the Navier-Stokes equations. Zbl 1039.35080
Seregin, G. A.
8
2003
On stability of weak Navier-Stokes solutions with large \(L^{3,\infty}\) initial data. Zbl 1405.35077
Barker, Tobias; Seregin, G.; Šverák, V.
8
2018
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
A note on local boundary regularity for the Stokes system. Zbl 1288.35376
Seregin, G. A.
7
2010
Partial regularity of the deformation gradient for some model problems in nonlinear two-dimensional elasticity. Zbl 0827.73010
Fuchs, M.; Seregin, G.
7
1994
Necessary conditions of a potential blow-up for Navier-Stokes equations. Zbl 1304.35504
Seregin, G. A.
7
2011
Liouville-type theorems for the Navier-Stokes equations. Zbl 1416.35191
Seregin, G. A.; Shilkin, T. N.
7
2018
A note on necessary conditions for blow-up of energy solutions to the Navier-Stokes equations. Zbl 1247.35096
Seregin, Gregory
7
2011
Ancient solutions to Navier-Stokes equations in half space. Zbl 1326.35233
Barker, T.; Seregin, G.
6
2015
A Liouville theorem for the Stokes system in a half-space. Zbl 1300.35094
Jia, H.; Seregin, G.; Sverak, V.
6
2013
The Navier–Stokes equations and backward uniqueness. Zbl 1024.76011
Seregin, Gregory; Šverák, Vladimir
6
2002
Regularity for minimizers of some variational problems in plasticity theory. Zbl 0904.49025
Seregin, G. A.; Shilkin, T. N.
6
1997
Remarks on the regularity of weak solutions to the Navier-Stokes equations near the boundary. Zbl 1083.35098
Seregin, G. A.
6
2003
A sufficient condition of local regularity for the Navier-Stokes equations. Zbl 1137.35056
Zajaczkowski, W.; Seregin, G. A.
6
2006
Estimates of suitable weak solutions to the Navier-Stokes equations in critical Morrey spaces. Zbl 1127.35042
Seregin, G. A.
6
2006
The local regularity theory for the Navier-Stokes equations near the boundary. Zbl 1311.35190
Seregin, G. A.; Shilkin, T. N.
6
2014
Differentiability of extremals of variational problems in the mechanics of elastic perfectly plastic media. Zbl 0655.73017
Seregin, G. A.
5
1987
Hölder continuity of solutions of 2D Navier-Stokes equations with singular forcing. Zbl 1223.35099
Constantin, Peter; Seregin, Gregory
5
2010
On smoothness of suitable weak solutions to the Navier-Stokes equations. Zbl 1148.35344
Seregin, G.; Šverák, V.
5
2005
On semigroups generated by initial-boundary value problems describing two-dimensional visco-plastic flows. Zbl 0846.35068
Ladyzhenskaya, O.; Serëgin, G.
5
1995
Continuity for the strain velocity tensor in two-dimensional variational problems from the theory of the Bingham fluid. Zbl 0953.49002
Seregin, Gregory
5
1997
On the regularity of the minimizers of some variational problems of the plasticity theory. Zbl 0791.73084
Seregin, G. A.
5
1992
The real butterfly effect. Zbl 1322.34056
Palmer, T. N.; Döring, A.; Seregin, G.
5
2014
Rescalings at possible singularities of Navier-Stokes equations in half-space. Zbl 1319.35165
Seregin, G.; Šverák, V.
5
2014
On a bounded shear flow in a half-space. Zbl 1308.35175
Seregin, G.; Sverak, V.
5
2011
On the regularity of weak solutions of variational problems in the theory of plasticity. Zbl 0704.73104
Seregin, G. A.
4
1990
On differential properties of extremals of variational problems arising in the theory of plasticity. Zbl 0709.73021
Seregin, G. A.
4
1990
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
Remarks on regularity up to the boundary for solutions to variational problems in plasticity theory. Zbl 0954.74508
Seregin, G. A.
4
1996
Variational methods for problems from plasticity theory and for generalized Newtonian fluids. Zbl 0943.74076
Fuchs, Martin; Seregin, Gregory
4
1999
On differentiability properties of the stress tensor in the Coulomb-Mohr theory of plasticity. Zbl 0838.73029
Seregin, G. A.
4
1992
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
Leray-Hopf solutions to Navier-Stokes equations with weakly converging initial data. Zbl 1296.35124
Seregin, Gregory
4
2012
Regularity of solutions of two-dimensional equations in fluid dynamics models with nonlinear viscosity. Zbl 1060.76005
Ladyzhenskaya, O. A.; Seregin, G. A.
4
1999
Remarks on Liouville type theorems for steady-state Navier-Stokes equations. Zbl 1412.35227
Seregin, G.
4
2019
A local estimate of the type of the Caccioppoli inequality for extremals of the Hencky variational plasticity problems. Zbl 0769.73098
Serëgin, G. A.
3
1988
Some remarks on the mollification of piecewise-linear homeomorphisms. Zbl 0927.49001
Seregin, G. A.; Shilkin, T. N.
3
1995
Partial regularity of the deformation gradient for some model problems in nonlinear two-dimensional elasticity. Zbl 0839.73009
Fuchs, M.; Seregin, G.
3
1994
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
On a method of approximation of initial boundary value problems for the Navier-Stokes equations. Zbl 0830.76019
Ladyzhenskaya, O. A.; 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 0773.49020
Serëgin, G. A.
3
1990
Variational-difference schemes for problems of mechanics of ideally elasto-plastic media. Zbl 0566.73031
Serëgin, G. A.
3
1985
Variation-difference schemes for problems in the mechanics of ideally elastoplastic media. Zbl 0584.73039
Serëgin, G. A.
3
1985
Local regularity of axisymmetric solutions to the Navier-Stokes equations. Zbl 1450.35097
Seregin, G.
3
2020
Coercive estimates for solutions of linearizations of modified Navier-Stokes equations. Zbl 1047.35111
Ladyzhenskaya, O. A.; Seregin, G. A.
2
2000
A note on bounded scale-invariant quantities for the Navier-Stokes equations. Zbl 1261.35112
Seregin, G.
2
2012
New sufficient conditions of local regularity for solutions to the Navier-Stokes equations. Zbl 1162.76325
Mahalov, A.; Nicolaenko, B.; Seregin, G.
2
2008
Differential properties of solutions of variational problems for functionals of linear growth. Zbl 0791.49040
Serëgin, G. A.
2
1990
On the best position of elastic symmetry planes in an orthotropic body. Zbl 0497.73014
Seregin, G. A.; Troitskij, V. A.
2
1981
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
Flow of the two-dimensional generalized Newtonian fluid. Zbl 0891.35118
Seregin, G. A.
2
1997
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 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
Remark on Wolf’s condition for boundary regularity of the Navier-Stokes equations. Zbl 1373.35067
Seregin, G.
2
2017
On a global stability of the two-dimensional visco-plastic flows. Zbl 0790.73027
Ladyzhenskaya, O.; Seregin, G.
2
1993
On the regularity of minimizers of some variational problems of the theory of plasticity. Zbl 0778.73085
Seregin, G. A.
2
1992
Variational problems and evolution variational inequalities in nonreflexive spaces with applications to problems of geometry and plasticity. Zbl 0544.49006
Seregin, G. A.
2
1984
On the well-posedness of variational problems of the mechanics of ideally elastic-plastic media. Zbl 0593.73034
Seregin, G. A.
2
1984
A slightly supercritical condition of regularity of axisymmetric solutions to the Navier-Stokes equations. Zbl 07481805
Seregin, G.
1
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.
2
2021
Sufficient conditions on Liouville type theorems for the 3D steady Navier-Stokes equations. Zbl 1434.35063
Seregin, G.; Wang, W.
9
2020
Local regularity of axisymmetric solutions to the Navier-Stokes equations. Zbl 1450.35097
Seregin, G.
3
2020
Axisymmetric flows in the exterior of a cylinder. Zbl 1446.35092
Abe, K.; Seregin, G.
2
2020
Regularity of solutions to the Navier-Stokes equations in \(\dot{B}_{\infty, \infty}^{-1} \). Zbl 1448.35370
Seregin, G.; Zhou, D.
2
2020
Remarks on Liouville type theorems for steady-state Navier-Stokes equations. Zbl 1412.35227
Seregin, G.
4
2019
On stability of weak Navier-Stokes solutions with large \(L^{3,\infty}\) initial data. Zbl 1405.35077
Barker, Tobias; Seregin, G.; Šverák, V.
8
2018
Liouville-type theorems for the Navier-Stokes equations. Zbl 1416.35191
Seregin, G. A.; Shilkin, T. N.
7
2018
Time decay for solutions to the Stokes equations with drift. Zbl 1390.35237
Schonbek, M.; Seregin, G.
2
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.
13
2017
A necessary condition of potential blowup for the Navier-Stokes system in half-space. Zbl 1383.35138
Barker, T.; Seregin, G.
11
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.
40
2016
Lecture notes on regularity theory for the Navier-Stokes equations. Zbl 1314.35001
Seregin, Gregory
33
2015
Liouville theorem for 2D Navier-Stokes equations in a half space. Zbl 1331.35067
Seregin, G.
9
2015
Ancient solutions to Navier-Stokes equations in half space. Zbl 1326.35233
Barker, T.; Seregin, G.
6
2015
The local regularity theory for the Navier-Stokes equations near the boundary. Zbl 1311.35190
Seregin, G. A.; Shilkin, T. N.
6
2014
The real butterfly effect. Zbl 1322.34056
Palmer, T. N.; Döring, A.; Seregin, G.
5
2014
Rescalings at possible singularities of Navier-Stokes equations in half-space. Zbl 1319.35165
Seregin, G.; Šverák, V.
5
2014
A Liouville theorem for the Stokes system in a half-space. Zbl 1300.35094
Jia, H.; Seregin, G.; Sverak, V.
6
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
53
2012
A certain necessary condition of potential blow up for Navier-Stokes equations. Zbl 1253.35105
Seregin, G.
38
2012
Liouville theorems in unbounded domains for the time-dependent Stokes system. Zbl 1278.35177
Jia, Hao; Seregin, Gregory; Šverák, Vladimír
8
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
Necessary conditions of a potential blow-up for Navier-Stokes equations. Zbl 1304.35504
Seregin, G. A.
7
2011
A note on necessary conditions for blow-up of energy solutions to the Navier-Stokes equations. Zbl 1247.35096
Seregin, Gregory
7
2011
On a bounded shear flow in a half-space. Zbl 1308.35175
Seregin, G.; Sverak, V.
5
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
16
2010
A note on local boundary regularity for the Stokes system. Zbl 1288.35376
Seregin, G. A.
7
2010
Hölder continuity of solutions of 2D Navier-Stokes equations with singular forcing. Zbl 1223.35099
Constantin, Peter; Seregin, Gregory
5
2010
Liouville theorems for the Navier-Stokes equations and applications. Zbl 1208.35104
Koch, Gabriel; Nadirashvili, Nikolai; Seregin, Gregory A.; Šverák, Vladimir
123
2009
On type I singularities of the local axi-symmetric solutions of the Navier-Stokes equations. Zbl 1180.35002
Seregin, G.; Šverák, V.
52
2009
Reverse Hölder inequality for a class of suitable weak solutions to the Navier-Stokes equations. Zbl 1315.35146
Seregin, G. A.
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.
26
2007
Local regularity for suitable weak solutions of the Navier-Stokes equations. Zbl 1139.76018
Seregin, G. A.
15
2007
A sufficient condition of regularity for axially symmetric solutions to the Navier-Stokes equations. Zbl 1169.35366
Seregin, G.; Zajaczkowski, W.
12
2007
Navier-Stokes equations: almost \(L_{3,\infty}\)-case. Zbl 1128.35085
Seregin, G.
10
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
New version of the Ladyzhenskaya-Prodi-Serrin condition. Zbl 1129.35060
Seregin, G. A.
1
2007
A sufficient condition of local regularity for the Navier-Stokes equations. Zbl 1137.35056
Zajaczkowski, W.; Seregin, G. A.
6
2006
Estimates of suitable weak solutions to the Navier-Stokes equations in critical Morrey spaces. Zbl 1127.35042
Seregin, G. A.
6
2006
On smoothness of \(L_{3,\infty}\)-solutions to the Navier-Stokes equations up to boundary. Zbl 1072.35146
Seregin, G.
26
2005
On smoothness of suitable weak solutions to the Navier-Stokes equations. Zbl 1148.35344
Seregin, G.; Šverák, V.
5
2005
Regularity results for parabolic systems related to a class of non-Newtonian fluids. Zbl 1052.76004
Acerbi, E.; Mingione, G.; Seregin, G. A.
95
2004
Boundary partial regularity for the Navier-Stokes equations. Zbl 1095.35031
Seregin, G. A.; Shilkin, T. N.; Solonnikov, V. A.
19
2004
Backward uniqueness for the heat operator in a half-space. Zbl 1053.35052
Escauriaza, L.; Seregin, G.; Šverák, V.
11
2004
Olga Alexandrovna Ladyzhenskaya (1922–2004). Zbl 1168.01327
Friedlander, Susan; Lax, Peter; Morawetz, Cathleen; Nirenberg, Louis; Seregin, Gregory; Ural’tseva, Nina; Vishik, Mark
1
2004
\(L_{3,\infty}\)-solutions of Navier-Stokes equations and backward uniqueness. Zbl 1064.35134
Escauriaza, L.; Serëgin, G. A.; Shverak, V.
230
2003
Backward uniqueness for parabolic equations. Zbl 1039.35052
Escauriaza, L.; Seregin, G.; Šverák, V.
93
2003
Differentiability properties of weak solutions of the Navier-Stokes equations. Zbl 1039.35080
Seregin, G. A.
8
2003
Remarks on the regularity of weak solutions to the Navier-Stokes equations near the boundary. Zbl 1083.35098
Seregin, G. A.
6
2003
Local regularity of suitable weak solutions to the Navier-Stokes equations near the boundary. Zbl 0997.35044
Seregin, G. A.
52
2002
Navier-Stokes equations with lower bounds on the pressure. Zbl 1002.35094
Seregin, G.; Šverák, V.
41
2002
On backward uniqueness for parabolic equations. Zbl 1068.35090
Escauriaza, L.; Seregin, G.; Šverák, V.
8
2002
The Navier–Stokes equations and backward uniqueness. Zbl 1024.76011
Seregin, Gregory; Šverák, Vladimir
6
2002
On the number of singular points of weak solutions to the Navier-Stokes equations. Zbl 1030.35133
Seregin, G. A.
16
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
88
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.
64
2000
Some estimates near the boundary for solutions to the nonstationary linearized Navier-Stokes equations. Zbl 1037.35059
Seregin, G. A.
17
2000
Coercive estimates for solutions of linearizations of modified Navier-Stokes equations. Zbl 1047.35111
Ladyzhenskaya, O. A.; Seregin, G. A.
2
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
On partial regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations. Zbl 0954.35129
Ladyzhenskaya, O. A.; Seregin, G. A.
120
1999
Variational methods for fluids of Prandtl-Eyring type and plastic materials with logarithmic hardening. Zbl 0928.76087
Fuchs, Martin; Seregin, Gregory
21
1999
Interior regularity for solutions to the modified Navier-Stokes equations. Zbl 0961.35106
Seregin, G. A.
10
1999
Variational methods for problems from plasticity theory and for generalized Newtonian fluids. Zbl 0943.74076
Fuchs, Martin; Seregin, Gregory
4
1999
Regularity of solutions of two-dimensional equations in fluid dynamics models with nonlinear viscosity. Zbl 1060.76005
Ladyzhenskaya, O. A.; Seregin, G. A.
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
A regularity theory for variational integrals with \(L\ln L\)-growth. Zbl 0929.49022
Fuchs, Martin; Seregin, Gregory
29
1998
Regularity results for the quasi-static Bingham variational inequality in dimensions two and three. Zbl 0899.76044
Fuchs, Martin; Seregin, Gregory
14
1998
Regularity of solutions to variational problems of the deformation theory of plasticity with logarithmic hardening. Zbl 0973.74033
Seregin, G. A.; Frehse, J.
10
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.
1
1998
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
Hölder continuity for weak extremals of some two-dimensional variational problems related to nonlinear elasticity. Zbl 0929.49021
Fuchs, Martin; Seregin, Gregori
9
1997
Regularity for minimizers of some variational problems in plasticity theory. Zbl 0904.49025
Seregin, G. A.; Shilkin, T. N.
6
1997
Continuity for the strain velocity tensor in two-dimensional variational problems from the theory of the Bingham fluid. Zbl 0953.49002
Seregin, Gregory
5
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.
8
1996
Remarks on regularity up to the boundary for solutions to variational problems in plasticity theory. Zbl 0954.74508
Seregin, G. A.
4
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.
5
1995
Some remarks on the mollification of piecewise-linear homeomorphisms. Zbl 0927.49001
Seregin, G. A.; Shilkin, T. N.
3
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
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
Partial regularity of the deformation gradient for some model problems in nonlinear two-dimensional elasticity. Zbl 0827.73010
Fuchs, M.; Seregin, G.
7
1994
Partial regularity of the deformation gradient for some model problems in nonlinear two-dimensional elasticity. Zbl 0839.73009
Fuchs, M.; Seregin, G.
3
1994
Differentiability properties of weak solutions of certain variational problems in the theory of perfect elastoplastic plates. Zbl 0779.73086
Seregin, G. A.
9
1993
On a global stability of the two-dimensional visco-plastic flows. Zbl 0790.73027
Ladyzhenskaya, O.; Seregin, G.
2
1993
On the regularity of the minimizers of some variational problems of the plasticity theory. Zbl 0791.73084
Seregin, G. A.
5
1992
On differentiability properties of the stress tensor in the Coulomb-Mohr theory of plasticity. Zbl 0838.73029
Seregin, G. A.
4
1992
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 a method of approximation of initial boundary value problems for the Navier-Stokes equations. Zbl 0830.76019
Ladyzhenskaya, O. A.; Seregin, G. A.
3
1992
On the regularity of minimizers of some variational problems of the theory of plasticity. Zbl 0778.73085
Seregin, G. A.
2
1992
...and 17 more Documents
all top 5

Cited by 886 Authors

48 Seregin, Gregory A.
34 Fuchs, Martin
24 Chae, Dongho
21 Zhang, Zujin
18 Repin, Sergeĭ Igorevich
17 Wang, Yanqing
16 Bildhauer, Michael
16 Takahashi, Takéo
15 Šverák, Vladimír
15 Wang, Wendong
15 Wolf, Jörg
14 Kang, Kyungkeun
14 Mingione, Giuseppe
13 Barker, Tobias
13 Skalák, Zdeněk
13 Wu, Gang
12 Liu, Qiao
12 Tsai, Tai-Peng
12 Yang, Minsuk
11 Antontsev, Stanislav Nikolaevich
11 Beirão da Veiga, Hugo
11 Bradshaw, Zachary
11 Pan, Xinghong
10 Neustupa, Jiří
9 Bögelein, Verena
9 Breit, Dominic
9 Choe, Hi Jun
9 Duzaar, Frank
9 Kukavica, Igor
9 Nečasová, Šárka
9 Zhang, Zhifei
8 Berselli, Luigi Carlo
8 Carstensen, Carsten
8 Dong, Hongjie
8 Robinson, James Cooper
8 Zhou, Daoguo
7 Bae, Hyeong-Ohk
7 Burczak, Jan
7 Gmeineder, Franz
7 Haslinger, Jaroslav
7 Kim, Jaemyoung
7 Lemarié-Rieusset, Pierre Gilles
7 Leonetti, Francesco
7 Prange, Christophe
7 Růžička, Michael
7 Sysala, Stanislav
7 Vicol, Vlad C.
6 Farwig, Reinhard
6 Giga, Yoshikazu
6 Han, Pigong
6 Jin, Bumja
6 Lei, Zhen
6 Mizoguchi, Noriko
6 Oskolkov, Anatolii Petrovich
6 Ożański, Wojciech Sławomir
6 Qian, Chenyin
6 Yang, Jiaqi
6 Zhang, Qi-Shuhuason
5 Albritton, Dallas
5 Bulíček, Miroslav
5 Chamorro, Diego
5 Chen, Hui
5 Cianchi, Andrea
5 Diening, Lars
5 Fan, Jishan
5 Fu, Yongqiang
5 Granucci, Tiziano
5 Guo, Zhengguang
5 Jiu, Quansen
5 Málek, Josef
5 Miura, Hideyuki
5 Pokorný, Milan
5 Shvydkoy, Roman V.
5 Wang, Yun
5 Weng, Shangkun
5 Wu, Fan
5 Zhang, Ting
5 Zhao, Jihong
4 Alberty, Jochen
4 Crispo, Francesca
4 De los Reyes, Juan Carlos
4 Erhardt, André
4 Escauriaza Zubiria, Luis
4 Fernández-Dalgo, Pedro Gabriel
4 Frehse, Jens
4 Friedlander, Susan Jean
4 Gallagher, Isabelle
4 Gao, Hongya
4 Grujić, Zoran
4 Gustafson, Stephen J.
4 Ha, Seung-Yeal
4 He, Cheng
4 Hillairet, Matthieu
4 Hofmann, Steve
4 Hou, Thomas Yizhao
4 Jarrín, Oscar
4 Kaplický, Petr
4 Knees, Dorothee
4 Kozono, Hideo
4 Kučera, Petr
...and 786 more Authors
all top 5

Cited in 188 Serials

68 Journal of Differential Equations
61 Journal of Mathematical Analysis and Applications
61 Journal of Mathematical Fluid Mechanics
60 Journal of Mathematical Sciences (New York)
55 Archive for Rational Mechanics and Analysis
44 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
25 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
23 Communications in Mathematical Physics
22 Calculus of Variations and Partial Differential Equations
20 Nonlinear Analysis. Real World Applications
19 SIAM Journal on Mathematical Analysis
17 Journal of Functional Analysis
16 Journal of Mathematical Physics
14 Mathematical Methods in the Applied Sciences
14 Manuscripta Mathematica
14 Applied Mathematics Letters
14 Communications in Partial Differential Equations
13 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
13 Discrete and Continuous Dynamical Systems
12 Computers & Mathematics with Applications
12 Mathematische Annalen
10 Nonlinearity
10 Acta Applicandae Mathematicae
10 Journal de Mathématiques Pures et Appliquées. Neuvième Série
10 NoDEA. Nonlinear Differential Equations and Applications
9 St. Petersburg Mathematical Journal
9 Communications in Contemporary Mathematics
9 Communications on Pure and Applied Analysis
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
8 Transactions of the American Mathematical Society
8 Boundary Value Problems
8 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Proceedings of the American Mathematical Society
7 Zeitschrift für Analysis und ihre Anwendungen
7 Applications of Mathematics
7 Journal of Nonlinear Science
7 Journal of Evolution Equations
6 The Journal of Geometric Analysis
6 Acta Mathematica Sinica. English Series
5 Computer Methods in Applied Mechanics and Engineering
5 Advances in Mathematics
5 Chinese Annals of Mathematics. Series B
5 Bulletin of the American Mathematical Society. New Series
5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Science China. Mathematics
4 Applicable Analysis
4 Journal of Fluid Mechanics
4 Applied Mathematics and Optimization
4 Indiana University Mathematics Journal
4 Bulletin of the Korean Mathematical Society
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 Annals of Mathematics. Second Series
4 Acta Mathematica Scientia. Series B. (English Edition)
4 Complex Variables and Elliptic Equations
4 Afrika Matematika
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 Numerische Mathematik
3 SIAM Journal on Control and Optimization
3 Physica D
3 Journal of Dynamics and Differential Equations
3 Potential Analysis
3 Abstract and Applied Analysis
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Proceedings of the Steklov Institute of Mathematics
3 Discrete and Continuous Dynamical Systems. Series S
3 Mathematical Control and Related Fields
3 Advances in Nonlinear Analysis
3 Journal of Elliptic and Parabolic Equations
2 Communications on Pure and Applied Mathematics
2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
2 Journal of Statistical Physics
2 Rocky Mountain Journal of Mathematics
2 Mathematics of Computation
2 Journal of Optimization Theory and Applications
2 Mathematische Zeitschrift
2 Memoirs of the American Mathematical Society
2 Monatshefte für Mathematik
2 Pacific Journal of Mathematics
2 Quarterly of Applied Mathematics
2 Revista Matemática Iberoamericana
2 Journal of the American Mathematical Society
2 Mathematical and Computer Modelling
2 Journal of Scientific Computing
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 Computational Optimization and Applications
2 Topological Methods in Nonlinear Analysis
2 Electronic Journal of Differential Equations (EJDE)
2 Journal of Inverse and Ill-Posed Problems
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Annales Henri Poincaré
2 Discrete and Continuous Dynamical Systems. Series B
2 Central European Journal of Mathematics
2 Analysis & PDE
2 Advances in Mathematical Physics
...and 88 more Serials
all top 5

Cited in 42 Fields

922 Partial differential equations (35-XX)
628 Fluid mechanics (76-XX)
89 Mechanics of deformable solids (74-XX)
81 Calculus of variations and optimal control; optimization (49-XX)
48 Functional analysis (46-XX)
33 Numerical analysis (65-XX)
21 Harmonic analysis on Euclidean spaces (42-XX)
20 Systems theory; control (93-XX)
15 Real functions (26-XX)
12 Statistical mechanics, structure of matter (82-XX)
11 Operator theory (47-XX)
10 Dynamical systems and ergodic theory (37-XX)
10 Global analysis, analysis on manifolds (58-XX)
8 Geophysics (86-XX)
8 Biology and other natural sciences (92-XX)
7 Differential geometry (53-XX)
7 Mechanics of particles and systems (70-XX)
6 Classical thermodynamics, heat transfer (80-XX)
6 Quantum theory (81-XX)
5 Potential theory (31-XX)
5 Optics, electromagnetic theory (78-XX)
4 History and biography (01-XX)
4 Measure and integration (28-XX)
4 Functions of a complex variable (30-XX)
4 Ordinary differential equations (34-XX)
4 Operations research, mathematical programming (90-XX)
4 Information and communication theory, circuits (94-XX)
3 Probability theory and stochastic processes (60-XX)
2 Special functions (33-XX)
2 Approximations and expansions (41-XX)
2 Astronomy and astrophysics (85-XX)
1 General and overarching topics; collections (00-XX)
1 Topological groups, Lie groups (22-XX)
1 Sequences, series, summability (40-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral equations (45-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)
1 Computer science (68-XX)
1 Relativity and gravitational theory (83-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year