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## Seregin, Gregory A.

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 Author ID: seregin.gregory-a Published as: Seregin, G. A.; Seregin, G.; Seregin, Gregory; Serëgin, G. A.; Seregin, Gregory A.; Serëgin, G.; Seregin, Gregori Homepage: https://www.maths.ox.ac.uk/people/gregory.seregin External Links: Math-Net.Ru · ResearchGate
 Documents Indexed: 167 Publications since 1981, including 9 Books
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#### Co-Authors

 78 single-authored 16 Šverák, Vladimír 12 Fuchs, Martin 11 Ladyzhenskaya, Ol’ga Aleksandrovna 9 Repin, Sergeĭ Igorevich 7 Shilkin, T. N. 6 Ural’tseva, Nina Nikolaevna 5 Constantin, Peter 4 Escauriaza Zubiria, Luis 3 Barker, Tobias 3 Friedlander, Susan Jean 3 Neittaanmäki, Pekka J. 3 Rivkind, Valeriĭ Yakovlevich 3 Rodrigues, José Francisco 3 Titi, Edriss Saleh 2 Denisova, Irina Vlad. 2 Frehse, Jens 2 Frolova, E. V. 2 Jia, Hao 2 Zajączkowski, Wojciech M. 1 Acerbi, Emilio 1 Arkhipova, Arina A. Arkhipova 1 Bildhauer, Michael 1 Burczak, Jan 1 Cabré, Xavier 1 Carlen, Eric Anders 1 Chang, Sun-Yung Alice 1 Döring, Andreas 1 Figalli, Alessio 1 Filonov, Nikolai D. 1 Gunzburger, Max D. 1 Hounkpe, Francis 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 Nicolaenko, Basil 1 Nirenberg, Louis 1 Palmer, T. N. 1 Pileckas, Konstantin 1 Schonbek, Maria Elena 1 Shverak, V. 1 Silvestre, Luis E. 1 Solonnikov, Vsevolod Alekseevich 1 Sormani, Christina 1 Synge Morawetz, Cathleen 1 Troitskij, V. A. 1 Urbano, José Miguel 1 Vishik, Marko Iosifovich 1 Wang, Mu-Tao 1 Yau, Shing-Tung 1 Zlatoš, Andrej
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#### Serials

 37 Journal of Mathematical Sciences (New York) 14 St. Petersburg Mathematical Journal 11 Zapiski Nauchnykh Seminarov POMI 7 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 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 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 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 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 Lecture Notes in Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Analysis and Mathematical Physics 1 Progress in Nonlinear Differential Equations and Their Applications
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#### Fields

 109 Partial differential equations (35-XX) 75 Fluid mechanics (76-XX) 54 Mechanics of deformable solids (74-XX) 42 Calculus of variations and optimal control; optimization (49-XX) 21 General and overarching topics; collections (00-XX) 15 Ordinary differential equations (34-XX) 6 Functional analysis (46-XX) 5 History and biography (01-XX) 4 Dynamical systems and ergodic theory (37-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH Open

111 Publications have been cited 1,539 times in 925 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.
2003
On partial regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations. Zbl 0954.35129
Ladyzhenskaya, O. A.; Seregin, G. A.
1999
Liouville theorems for the Navier-Stokes equations and applications. Zbl 1208.35104
2009
Regularity results for parabolic systems related to a class of non-Newtonian fluids. Zbl 1052.76004
Acerbi, E.; Mingione, G.; Seregin, G. A.
2004
Backward uniqueness for parabolic equations. Zbl 1039.35052
Escauriaza, L.; Seregin, G.; Šverák, V.
2003
Variational methods for problems from plasticity theory and for generalized Newtonian fluids. Zbl 0964.76003
Fuchs, Martin; Seregin, Gregory
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.
2000
Local regularity of suitable weak solutions to the Navier-Stokes equations near the boundary. Zbl 0997.35044
Seregin, G. A.
2002
On type I singularities of the local axi-symmetric solutions of the Navier-Stokes equations. Zbl 1180.35002
Seregin, G.; Šverák, V.
2009
On divergence-free drifts. Zbl 1232.35027
Seregin, Gregory; Silvestre, Luis; Šverák, Vladimír; Zlatoš, Andrej
2012
Navier-Stokes equations with lower bounds on the pressure. Zbl 1002.35094
Seregin, G.; Šverák, V.
2002
A certain necessary condition of potential blow up for Navier-Stokes equations. Zbl 1253.35105
Seregin, G.
2012
A regularity theory for variational integrals with $$L\ln L$$-growth. Zbl 0929.49022
Fuchs, Martin; Seregin, Gregory
1998
Liouville type theorem for stationary Navier-Stokes equations. Zbl 1350.35047
Seregin, G.
2016
On smoothness of $$L_{3,\infty}$$-solutions to the Navier-Stokes equations up to boundary. Zbl 1072.35146
Seregin, G.
2005
Lecture notes on regularity theory for the Navier-Stokes equations. Zbl 1314.35001
Seregin, Gregory
2015
Weak solutions to the Cauchy problem for the Navier-Stokes equations satisfying the local energy inequality. Zbl 1361.35130
Kikuchi, N.; Seregin, G.
2007
Boundary partial regularity for the Navier-Stokes equations. Zbl 1095.35031
Seregin, G. A.; Shilkin, T. N.; Solonnikov, V. A.
2004
Variational methods for fluids of Prandtl-Eyring type and plastic materials with logarithmic hardening. Zbl 0928.76087
Fuchs, Martin; Seregin, Gregory
1999
Some estimates near the boundary for solutions to the nonstationary linearized Navier-Stokes equations. Zbl 1037.35059
Seregin, G. A.
2000
Global regularity of solutions of coupled Navier-Stokes equations and nonlinear Fokker Planck equations. Zbl 1191.35084
Constantin, Peter; Seregin, Gregory
2010
Local regularity for suitable weak solutions of the Navier-Stokes equations. Zbl 1139.76018
Seregin, G. A.
2007
On the number of singular points of weak solutions to the Navier-Stokes equations. Zbl 1030.35133
Seregin, G. A.
2001
Regularity results for the quasi-static Bingham variational inequality in dimensions two and three. Zbl 0899.76044
Fuchs, Martin; Seregin, Gregory
1998
Backward uniqueness for the heat operator in a half-space. Zbl 1053.35052
Escauriaza, L.; Seregin, G.; Šverák, V.
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.
2017
Interior regularity for solutions to the modified Navier-Stokes equations. Zbl 0961.35106
Seregin, G. A.
1999
Navier-Stokes equations: almost $$L_{3,\infty}$$-case. Zbl 1128.35085
Seregin, G.
2007
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
1997
A sufficient condition of regularity for axially symmetric solutions to the Navier-Stokes equations. Zbl 1169.35366
Seregin, G.; Zajaczkowski, W.
2007
Regularity of solutions to variational problems of the deformation theory of plasticity with logarithmic hardening. Zbl 0973.74033
Seregin, G. A.; Frehse, J.
1998
Existence of a weak solution of the minimax problem arising in Coulomb-Mohr plasticity. Zbl 0890.73079
Repin, S.; Seregin, G.
1995
A necessary condition of potential blowup for the Navier-Stokes system in half-space. Zbl 1383.35138
Barker, T.; Seregin, G.
2017
Differentiability properties of weak solutions of certain variational problems in the theory of perfect elastoplastic plates. Zbl 0779.73086
Seregin, G. A.
1993
Differentiability properties of weak solutions of the Navier-Stokes equations. Zbl 1039.35080
Seregin, G. A.
2003
On backward uniqueness for parabolic equations. Zbl 1068.35090
Escauriaza, L.; Seregin, G.; Šverák, V.
2002
Liouville theorem for 2D Navier-Stokes equations in a half space. Zbl 1331.35067
Seregin, G.
2015
Hölder continuity for weak extremals of some two-dimensional variational problems related to nonlinear elasticity. Zbl 0929.49021
Fuchs, Martin; Seregin, Gregori
1997
Two-dimensional variational problems of the theory of plasticity. Zbl 0881.73039
Seregin, G. A.
1996
Error estimates for stresses in the finite element analysis of the two-dimensional elasto-plastic problems. Zbl 0899.73532
Repin, S.; Seregin, G.
1995
A note on necessary conditions for blow-up of energy solutions to the Navier-Stokes equations. Zbl 1247.35096
Seregin, Gregory
2011
Partial regularity of the deformation gradient for some model problems in nonlinear two-dimensional elasticity. Zbl 0827.73010
Fuchs, M.; Seregin, G.
1994
The Navier–Stokes equations and backward uniqueness. Zbl 1024.76011
2002
Remarks on the regularity of weak solutions to the Navier-Stokes equations near the boundary. Zbl 1083.35098
Seregin, G. A.
2003
A sufficient condition of local regularity for the Navier-Stokes equations. Zbl 1137.35056
Zajaczkowski, W.; Seregin, G. A.
2006
Estimates of suitable weak solutions to the Navier-Stokes equations in critical Morrey spaces. Zbl 1127.35042
Seregin, G. A.
2006
Necessary conditions of a potential blow-up for Navier-Stokes equations. Zbl 1304.35504
Seregin, G. A.
2011
The local regularity theory for the Navier-Stokes equations near the boundary. Zbl 1311.35190
Seregin, G. A.; Shilkin, T. N.
2014
Liouville theorems in unbounded domains for the time-dependent Stokes system. Zbl 1278.35177
Jia, Hao; Seregin, Gregory; Šverák, Vladimír
2012
On stability of weak Navier-Stokes solutions with large $$L^{3,\infty}$$ initial data. Zbl 1405.35077
Barker, Tobias; Seregin, G.; Šverák, V.
2018
Regularity for minimizers of some variational problems in plasticity theory. Zbl 0904.49025
Seregin, G. A.; Shilkin, T. N.
1997
Continuity for the strain velocity tensor in two-dimensional variational problems from the theory of the Bingham fluid. Zbl 0953.49002
Seregin, Gregory
1997
On semigroups generated by initial-boundary value problems describing two-dimensional visco-plastic flows. Zbl 0846.35068
1995
On smoothness of suitable weak solutions to the Navier-Stokes equations. Zbl 1148.35344
Seregin, G.; Šverák, V.
2005
Differentiability of extremals of variational problems in the mechanics of elastic perfectly plastic media. Zbl 0655.73017
Seregin, G. A.
1987
On the regularity of the minimizers of some variational problems of the plasticity theory. Zbl 0791.73084
Seregin, G. A.
1992
Ancient solutions to Navier-Stokes equations in half space. Zbl 1326.35233
Barker, T.; Seregin, G.
2015
Hölder continuity of solutions of 2D Navier-Stokes equations with singular forcing. Zbl 1223.35099
Constantin, Peter; Seregin, Gregory
2010
Liouville-type theorems for the Navier-Stokes equations. Zbl 1416.35191
Seregin, G. A.; Shilkin, T. N.
2018
Sufficient conditions on Liouville type theorems for the 3D steady Navier-Stokes equations. Zbl 1434.35063
Seregin, G.; Wang, W.
2020
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.
1992
Regularity of solutions of two-dimensional equations in fluid dynamics models with nonlinear viscosity. Zbl 1060.76005
Ladyzhenskaya, O. A.; Seregin, G. A.
1999
Remarks on regularity up to the boundary for solutions to variational problems in plasticity theory. Zbl 0954.74508
Seregin, G. A.
1996
Variational methods for problems from plasticity theory and for generalized Newtonian fluids. Zbl 0943.74076
Fuchs, Martin; Seregin, Gregory
1999
On the regularity of weak solutions of variational problems in the theory of plasticity. Zbl 0704.73104
Seregin, G. A.
1990
On differential properties of extremals of variational problems arising in the theory of plasticity. Zbl 0709.73021
Seregin, G. A.
1990
A Liouville theorem for the Stokes system in a half-space. Zbl 1300.35094
Jia, H.; Seregin, G.; Sverak, V.
2013
Leray-Hopf solutions to Navier-Stokes equations with weakly converging initial data. Zbl 1296.35124
Seregin, Gregory
2012
Rescalings at possible singularities of Navier-Stokes equations in half-space. Zbl 1319.35165
Seregin, G.; Šverák, V.
2014
On differentiability properties of the stress tensor in the Coulomb-Mohr theory of plasticity. Zbl 0838.73029
Seregin, G. A.
1992
A note on local boundary regularity for the Stokes system. Zbl 1288.35376
Seregin, G. A.
2010
On differential properties of extremals of variational problems of the mechanics of viscoplastic media. Zbl 0734.73096
Seregin, G. A.
1991
Differential properties of solutions of variational problems for functionals of linear growth. Zbl 0773.49020
Serëgin, G. A.
1990
Some remarks on the mollification of piecewise-linear homeomorphisms. Zbl 0927.49001
Seregin, G. A.; Shilkin, T. N.
1995
Full regularity for a class of degenerated parabolic systems in two spatial variables. Zbl 0931.35029
Frehse, J.; Seregin, G. A.
1999
A global nonlinear evolution problem for generalized Newtonian fluids: Local initial regularity of the strong solution. Zbl 1122.76008
Fuchs, M.; Seregin, G.
2007
Variational-difference schemes for problems of mechanics of ideally elasto-plastic media. Zbl 0566.73031
Serëgin, G. A.
1985
A local estimate of the type of the Caccioppoli inequality for extremals of the Hencky variational plasticity problems. Zbl 0769.73098
Serëgin, G. A.
1988
On a bounded shear flow in a half-space. Zbl 1308.35175
Seregin, G.; Sverak, V.
2011
On a method of approximation of initial boundary value problems for the Navier-Stokes equations. Zbl 0830.76019
Ladyzhenskaya, O. A.; Seregin, G. A.
1992
The uniqueness of solutions of some variational problems of the theory of phase equilibrium in solid bodies. Zbl 0863.73079
Seregin, G. A.
1995
On the regularity of minimizers of some variational problems of the theory of plasticity. Zbl 0778.73085
Seregin, G. A.
1992
Flow of the two-dimensional generalized Newtonian fluid. Zbl 0891.35118
Seregin, G. A.
1997
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.
1998
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
2000
Partial regularity of the deformation gradient for some model problems in nonlinear two-dimensional elasticity. Zbl 0839.73009
Fuchs, M.; Seregin, G.
1994
The regularity properties of solutions of variational problems in the theory of phase transitions in elastic solids. Zbl 0947.74019
Seregin, G. A.
1995
Coercive estimates for solutions of linearizations of modified Navier-Stokes equations. Zbl 1047.35111
Ladyzhenskaya, O. A.; Seregin, G. A.
2000
Variation-difference schemes for problems in the mechanics of ideally elastoplastic media. Zbl 0584.73039
Serëgin, G. A.
1985
On the well-posedness of variational problems of the mechanics of ideally elastic-plastic media. Zbl 0593.73034
Seregin, G. A.
1984
Variational problems and evolution variational inequalities in nonreflexive spaces with applications to problems of geometry and plasticity. Zbl 0544.49006
Seregin, G. A.
1984
Differential properties of solutions of variational problems for functionals of linear growth. Zbl 0791.49040
Serëgin, G. A.
1990
The real butterfly effect. Zbl 1322.34056
Palmer, T. N.; Döring, A.; Seregin, G.
2014
Selected topics of local regularity theory for Navier-Stokes equations. Zbl 1301.35094
Seregin, Gregory
2013
On a global stability of the two-dimensional visco-plastic flows. Zbl 0790.73027
1993
On the best position of elastic symmetry planes in an orthotropic body. Zbl 0497.73014
Seregin, G. A.; Troitskij, V. A.
1981
Time decay for solutions to the Stokes equations with drift. Zbl 1390.35237
Schonbek, M.; Seregin, G.
2018
A local estimate of the maximum of the modulus of the deviator of the strain tensor in an elastic-plastic body with linear hardening. Zbl 0801.73028
Seregin, G. A.
1992
Differential properties of solutions of evolutionary variational inequalities in plasticity theory. Zbl 0899.73574
Seregin, G. A.
1992
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
2001
Sufficient conditions on Liouville type theorems for the 3D steady Navier-Stokes equations. Zbl 1434.35063
Seregin, G.; Wang, W.
2020
On stability of weak Navier-Stokes solutions with large $$L^{3,\infty}$$ initial data. Zbl 1405.35077
Barker, Tobias; Seregin, G.; Šverák, V.
2018
Liouville-type theorems for the Navier-Stokes equations. Zbl 1416.35191
Seregin, G. A.; Shilkin, T. N.
2018
Time decay for solutions to the Stokes equations with drift. Zbl 1390.35237
Schonbek, M.; Seregin, G.
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.
2017
A necessary condition of potential blowup for the Navier-Stokes system in half-space. Zbl 1383.35138
Barker, T.; Seregin, G.
2017
Remark on Wolf’s condition for boundary regularity of the Navier-Stokes equations. Zbl 1373.35067
Seregin, G.
2017
Liouville type theorem for stationary Navier-Stokes equations. Zbl 1350.35047
Seregin, G.
2016
Lecture notes on regularity theory for the Navier-Stokes equations. Zbl 1314.35001
Seregin, Gregory
2015
Liouville theorem for 2D Navier-Stokes equations in a half space. Zbl 1331.35067
Seregin, G.
2015
Ancient solutions to Navier-Stokes equations in half space. Zbl 1326.35233
Barker, T.; Seregin, G.
2015
The local regularity theory for the Navier-Stokes equations near the boundary. Zbl 1311.35190
Seregin, G. A.; Shilkin, T. N.
2014
Rescalings at possible singularities of Navier-Stokes equations in half-space. Zbl 1319.35165
Seregin, G.; Šverák, V.
2014
The real butterfly effect. Zbl 1322.34056
Palmer, T. N.; Döring, A.; Seregin, G.
2014
A Liouville theorem for the Stokes system in a half-space. Zbl 1300.35094
Jia, H.; Seregin, G.; Sverak, V.
2013
Selected topics of local regularity theory for Navier-Stokes equations. Zbl 1301.35094
Seregin, Gregory
2013
On divergence-free drifts. Zbl 1232.35027
Seregin, Gregory; Silvestre, Luis; Šverák, Vladimír; Zlatoš, Andrej
2012
A certain necessary condition of potential blow up for Navier-Stokes equations. Zbl 1253.35105
Seregin, G.
2012
Liouville theorems in unbounded domains for the time-dependent Stokes system. Zbl 1278.35177
Jia, Hao; Seregin, Gregory; Šverák, Vladimír
2012
Leray-Hopf solutions to Navier-Stokes equations with weakly converging initial data. Zbl 1296.35124
Seregin, Gregory
2012
A note on bounded scale-invariant quantities for the Navier-Stokes equations. Zbl 1261.35112
Seregin, G.
2012
A note on necessary conditions for blow-up of energy solutions to the Navier-Stokes equations. Zbl 1247.35096
Seregin, Gregory
2011
Necessary conditions of a potential blow-up for Navier-Stokes equations. Zbl 1304.35504
Seregin, G. A.
2011
On a bounded shear flow in a half-space. Zbl 1308.35175
Seregin, G.; Sverak, V.
2011
Weak solutions to the Navier-Stokes equations with bounded scale-invariant quantities. Zbl 1229.35191
Seregin, Gregory A.
2011
Global regularity of solutions of coupled Navier-Stokes equations and nonlinear Fokker Planck equations. Zbl 1191.35084
Constantin, Peter; Seregin, Gregory
2010
Hölder continuity of solutions of 2D Navier-Stokes equations with singular forcing. Zbl 1223.35099
Constantin, Peter; Seregin, Gregory
2010
A note on local boundary regularity for the Stokes system. Zbl 1288.35376
Seregin, G. A.
2010
Liouville theorems for the Navier-Stokes equations and applications. Zbl 1208.35104
2009
On type I singularities of the local axi-symmetric solutions of the Navier-Stokes equations. Zbl 1180.35002
Seregin, G.; Šverák, V.
2009
Reverse Hölder inequality for a class of suitable weak solutions to the Navier-Stokes equations. Zbl 1315.35146
Seregin, G. A.
2009
New sufficient conditions of local regularity for solutions to the Navier-Stokes equations. Zbl 1162.76325
Mahalov, A.; Nicolaenko, B.; Seregin, G.
2008
Weak solutions to the Cauchy problem for the Navier-Stokes equations satisfying the local energy inequality. Zbl 1361.35130
Kikuchi, N.; Seregin, G.
2007
Local regularity for suitable weak solutions of the Navier-Stokes equations. Zbl 1139.76018
Seregin, G. A.
2007
Navier-Stokes equations: almost $$L_{3,\infty}$$-case. Zbl 1128.35085
Seregin, G.
2007
A sufficient condition of regularity for axially symmetric solutions to the Navier-Stokes equations. Zbl 1169.35366
Seregin, G.; Zajaczkowski, W.
2007
A global nonlinear evolution problem for generalized Newtonian fluids: Local initial regularity of the strong solution. Zbl 1122.76008
Fuchs, M.; Seregin, G.
2007
New version of the Ladyzhenskaya-Prodi-Serrin condition. Zbl 1129.35060
Seregin, G. A.
2007
A sufficient condition of local regularity for the Navier-Stokes equations. Zbl 1137.35056
Zajaczkowski, W.; Seregin, G. A.
2006
Estimates of suitable weak solutions to the Navier-Stokes equations in critical Morrey spaces. Zbl 1127.35042
Seregin, G. A.
2006
On smoothness of $$L_{3,\infty}$$-solutions to the Navier-Stokes equations up to boundary. Zbl 1072.35146
Seregin, G.
2005
On smoothness of suitable weak solutions to the Navier-Stokes equations. Zbl 1148.35344
Seregin, G.; Šverák, V.
2005
Regularity results for parabolic systems related to a class of non-Newtonian fluids. Zbl 1052.76004
Acerbi, E.; Mingione, G.; Seregin, G. A.
2004
Boundary partial regularity for the Navier-Stokes equations. Zbl 1095.35031
Seregin, G. A.; Shilkin, T. N.; Solonnikov, V. A.
2004
Backward uniqueness for the heat operator in a half-space. Zbl 1053.35052
Escauriaza, L.; Seregin, G.; Šverák, V.
2004
Olga Alexandrovna Ladyzhenskaya (1922–2004). Zbl 1168.01327
Friedlander, Susan; Lax, Peter; Morawetz, Cathleen; Nirenberg, Louis; Seregin, Gregory; Ural&rsquo;tseva, Nina; Vishik, Mark
2004
$$L_{3,\infty}$$-solutions of Navier-Stokes equations and backward uniqueness. Zbl 1064.35134
Escauriaza, L.; Serëgin, G. A.; Shverak, V.
2003
Backward uniqueness for parabolic equations. Zbl 1039.35052
Escauriaza, L.; Seregin, G.; Šverák, V.
2003
Differentiability properties of weak solutions of the Navier-Stokes equations. Zbl 1039.35080
Seregin, G. A.
2003
Remarks on the regularity of weak solutions to the Navier-Stokes equations near the boundary. Zbl 1083.35098
Seregin, G. A.
2003
Local regularity of suitable weak solutions to the Navier-Stokes equations near the boundary. Zbl 0997.35044
Seregin, G. A.
2002
Navier-Stokes equations with lower bounds on the pressure. Zbl 1002.35094
Seregin, G.; Šverák, V.
2002
On backward uniqueness for parabolic equations. Zbl 1068.35090
Escauriaza, L.; Seregin, G.; Šverák, V.
2002
The Navier–Stokes equations and backward uniqueness. Zbl 1024.76011
2002
On the number of singular points of weak solutions to the Navier-Stokes equations. Zbl 1030.35133
Seregin, G. A.
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
2001
Variational methods for problems from plasticity theory and for generalized Newtonian fluids. Zbl 0964.76003
Fuchs, Martin; Seregin, Gregory
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.
2000
Some estimates near the boundary for solutions to the nonstationary linearized Navier-Stokes equations. Zbl 1037.35059
Seregin, G. A.
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
2000
Coercive estimates for solutions of linearizations of modified Navier-Stokes equations. Zbl 1047.35111
Ladyzhenskaya, O. A.; Seregin, G. A.
2000
On partial regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations. Zbl 0954.35129
Ladyzhenskaya, O. A.; Seregin, G. A.
1999
Variational methods for fluids of Prandtl-Eyring type and plastic materials with logarithmic hardening. Zbl 0928.76087
Fuchs, Martin; Seregin, Gregory
1999
Interior regularity for solutions to the modified Navier-Stokes equations. Zbl 0961.35106
Seregin, G. A.
1999
Regularity of solutions of two-dimensional equations in fluid dynamics models with nonlinear viscosity. Zbl 1060.76005
Ladyzhenskaya, O. A.; Seregin, G. A.
1999
Variational methods for problems from plasticity theory and for generalized Newtonian fluids. Zbl 0943.74076
Fuchs, Martin; Seregin, Gregory
1999
Full regularity for a class of degenerated parabolic systems in two spatial variables. Zbl 0931.35029
Frehse, J.; Seregin, G. A.
1999
A regularity theory for variational integrals with $$L\ln L$$-growth. Zbl 0929.49022
Fuchs, Martin; Seregin, Gregory
1998
Regularity results for the quasi-static Bingham variational inequality in dimensions two and three. Zbl 0899.76044
Fuchs, Martin; Seregin, Gregory
1998
Regularity of solutions to variational problems of the deformation theory of plasticity with logarithmic hardening. Zbl 0973.74033
Seregin, G. A.; Frehse, J.
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.
1998
Variational problem on the phase equilibrium of an elastic body. Zbl 0923.73080
Seregin, G. A.
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
1997
Hölder continuity for weak extremals of some two-dimensional variational problems related to nonlinear elasticity. Zbl 0929.49021
Fuchs, Martin; Seregin, Gregori
1997
Regularity for minimizers of some variational problems in plasticity theory. Zbl 0904.49025
Seregin, G. A.; Shilkin, T. N.
1997
Continuity for the strain velocity tensor in two-dimensional variational problems from the theory of the Bingham fluid. Zbl 0953.49002
Seregin, Gregory
1997
Flow of the two-dimensional generalized Newtonian fluid. Zbl 0891.35118
Seregin, G. A.
1997
Two-dimensional variational problems of the theory of plasticity. Zbl 0881.73039
Seregin, G. A.
1996
Remarks on regularity up to the boundary for solutions to variational problems in plasticity theory. Zbl 0954.74508
Seregin, G. A.
1996
Existence of a weak solution of the minimax problem arising in Coulomb-Mohr plasticity. Zbl 0890.73079
Repin, S.; Seregin, G.
1995
Error estimates for stresses in the finite element analysis of the two-dimensional elasto-plastic problems. Zbl 0899.73532
Repin, S.; Seregin, G.
1995
On semigroups generated by initial-boundary value problems describing two-dimensional visco-plastic flows. Zbl 0846.35068
1995
Some remarks on the mollification of piecewise-linear homeomorphisms. Zbl 0927.49001
Seregin, G. A.; Shilkin, T. N.
1995
The uniqueness of solutions of some variational problems of the theory of phase equilibrium in solid bodies. Zbl 0863.73079
Seregin, G. A.
1995
The regularity properties of solutions of variational problems in the theory of phase transitions in elastic solids. Zbl 0947.74019
Seregin, G. A.
1995
Partial regularity of the deformation gradient for some model problems in nonlinear two-dimensional elasticity. Zbl 0827.73010
Fuchs, M.; Seregin, G.
1994
Partial regularity of the deformation gradient for some model problems in nonlinear two-dimensional elasticity. Zbl 0839.73009
Fuchs, M.; Seregin, G.
1994
Differentiability properties of weak solutions of certain variational problems in the theory of perfect elastoplastic plates. Zbl 0779.73086
Seregin, G. A.
1993
On a global stability of the two-dimensional visco-plastic flows. Zbl 0790.73027
1993
On the regularity of the minimizers of some variational problems of the plasticity theory. Zbl 0791.73084
Seregin, G. A.
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.
1992
On differentiability properties of the stress tensor in the Coulomb-Mohr theory of plasticity. Zbl 0838.73029
Seregin, G. A.
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.
1992
On the regularity of minimizers of some variational problems of the theory of plasticity. Zbl 0778.73085
Seregin, G. A.
1992
A local estimate of the maximum of the modulus of the deviator of the strain tensor in an elastic-plastic body with linear hardening. Zbl 0801.73028
Seregin, G. A.
1992
Differential properties of solutions of evolutionary variational inequalities in plasticity theory. Zbl 0899.73574
Seregin, G. A.
1992
On differential properties of extremals of variational problems of the mechanics of viscoplastic media. Zbl 0734.73096
Seregin, G. A.
1991
On the regularity of weak solutions of variational problems in plasticity theory. Zbl 0717.73097
Seregin, G. A.
1991
On the regularity of weak solutions of variational problems in the theory of plasticity. Zbl 0704.73104
Seregin, G. A.
1990
On differential properties of extremals of variational problems arising in the theory of plasticity. Zbl 0709.73021
Seregin, G. A.
1990
...and 11 more Documents
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#### Cited by 807 Authors

 44 Seregin, Gregory A. 32 Fuchs, Martin 21 Chae, Dongho 21 Zhang, Zujin 17 Repin, Sergeĭ Igorevich 16 Takahashi, Takéo 15 Šverák, Vladimír 15 Wang, Yanqing 14 Bildhauer, Michael 14 Mingione, Giuseppe 13 Kang, Kyungkeun 13 Wu, Gang 12 Barker, Tobias 12 Skalák, Zdeněk 12 Wang, Wendong 12 Wolf, Jörg 11 Antontsev, Stanislav Nikolaevich 11 Liu, Qiao 10 Beirão da Veiga, Hugo 10 Yang, Minsuk 9 Bögelein, Verena 9 Duzaar, Frank 9 Nečasová, Šárka 9 Pan, Xinghong 9 Tsai, Tai-Peng 9 Zhang, Zhifei 8 Breit, Dominic 8 Carstensen, Carsten 8 Choe, Hi Jun 8 Dong, Hongjie 8 Neustupa, Jiří 7 Bae, Hyeong-Ohk 7 Berselli, Luigi Carlo 7 Bradshaw, Zachary 7 Gmeineder, Franz 7 Kukavica, Igor 7 Vicol, Vlad C. 7 Zhou, Daoguo 6 Burczak, Jan 6 Giga, Yoshikazu 6 Han, Pigong 6 Haslinger, Jaroslav 6 Jin, Bum Ja 6 Lei, Zhen 6 Leonetti, Francesco 6 Mizoguchi, Noriko 6 Oskolkov, Anatolii Petrovich 6 Prange, Christophe 6 Růžička, Michael 6 Sysala, Stanislav 5 Bulíček, Miroslav 5 Fan, Jishan 5 Farwig, Reinhard 5 Fu, Yongqiang 5 Granucci, Tiziano 5 Jiu, Quansen 5 Kim, Jaemyoung 5 Málek, Josef 5 Pokorný, Milan 5 Shvydkoy, Roman V. 4 Alberty, Jochen 4 Albritton, Dallas 4 Chamorro, Diego 4 Crispo, Francesca 4 De los Reyes, Juan Carlos 4 Diening, Lars 4 Erhardt, André 4 Escauriaza Zubiria, Luis 4 Frehse, Jens 4 Friedlander, Susan Jean 4 Gallagher, Isabelle 4 Grujić, Zoran 4 Guo, Zhengguang 4 Gustafson, Stephen J. 4 Ha, Seung-Yeal 4 He, Cheng 4 Hillairet, Matthieu 4 Kaplický, Petr 4 Knees, Dorothee 4 Kučera, Petr 4 Lee, Jihoon 4 Lemarié-Rieusset, Pierre Gilles 4 Li, Zijin 4 Liu, Xiangao 4 Maekawa, Yasunori 4 Maremonti, Paolo 4 Melo, Wilberclay G. 4 Miura, Hideyuki 4 Qian, Chenyin 4 Robinson, James Cooper 4 Rusin, Walter M. 4 Shilkin, T. N. 4 Shmarev, Sergey I. 4 Vyalov, V. A. 4 Wang, Changyou 4 Wang, Yun 4 Yang, Jiaqi 4 Yang, Xi’an 4 Yao, Zhengan 4 Yoneda, Tsuyoshi ...and 707 more Authors
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#### Cited in 169 Serials

 61 Journal of Differential Equations 60 Journal of Mathematical Analysis and Applications 58 Journal of Mathematical Sciences (New York) 53 Journal of Mathematical Fluid Mechanics 52 Archive for Rational Mechanics and Analysis 40 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 25 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 22 Communications in Mathematical Physics 19 Calculus of Variations and Partial Differential Equations 16 Journal of Functional Analysis 16 Nonlinear Analysis. Real World Applications 14 Journal of Mathematical Physics 14 Mathematical Methods in the Applied Sciences 14 Manuscripta Mathematica 14 Communications in Partial Differential Equations 13 SIAM Journal on Mathematical Analysis 13 Discrete and Continuous Dynamical Systems 12 Applied Mathematics Letters 12 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 11 Computers & Mathematics with Applications 10 Journal de Mathématiques Pures et Appliquées. Neuvième Série 10 NoDEA. Nonlinear Differential Equations and Applications 9 Nonlinearity 9 Mathematische Annalen 9 Acta Applicandae Mathematicae 9 St. Petersburg Mathematical Journal 9 Communications in Contemporary Mathematics 8 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 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 Communications on Pure and Applied Analysis 7 Boundary Value Problems 6 Transactions of the American Mathematical Society 6 Journal of Nonlinear Science 6 Acta Mathematica Sinica. English Series 5 Computer Methods in Applied Mechanics and Engineering 5 The Journal of Geometric Analysis 5 Bulletin of the American Mathematical Society. New Series 5 Journal of Evolution Equations 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 Advances in Mathematics 4 Chinese Annals of Mathematics. Series B 4 Annals of Mathematics. Second Series 4 Afrika Matematika 4 Journal of Function Spaces 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 Bulletin of the Korean Mathematical Society 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Journal of Dynamics and Differential Equations 3 Potential Analysis 3 Abstract and Applied Analysis 3 Proceedings of the Steklov Institute of Mathematics 3 Mathematical Control and Related Fields 3 Advances in Nonlinear Analysis 2 Communications on Pure and Applied Mathematics 2 Journal of Statistical Physics 2 Mathematics of Computation 2 Applied Mathematics and Optimization 2 Indiana University Mathematics Journal 2 Journal of Optimization Theory and Applications 2 Memoirs of the American Mathematical Society 2 Monatshefte für Mathematik 2 Pacific Journal of Mathematics 2 Quarterly of Applied Mathematics 2 Physica D 2 Revista Matemática Iberoamericana 2 Journal of the American Mathematical Society 2 Mathematical and Computer Modelling 2 Computational Optimization and Applications 2 Topological Methods in Nonlinear Analysis 2 Electronic Journal of Differential Equations (EJDE) 2 Discrete and Continuous Dynamical Systems. Series B 2 Central European Journal of Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Complex Variables and Elliptic Equations 2 Analysis & PDE 2 Evolution Equations and Control Theory 2 Journal of Elliptic and Parabolic Equations 2 Proceedings of the American Mathematical Society. Series B 1 International Journal of Engineering Science 1 Inverse Problems 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal d’Analyse Mathématique 1 Journal of the Mechanics and Physics of Solids 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Chaos, Solitons and Fractals 1 Acta Mathematica ...and 69 more Serials
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#### Cited in 39 Fields

 825 Partial differential equations (35-XX) 550 Fluid mechanics (76-XX) 83 Mechanics of deformable solids (74-XX) 76 Calculus of variations and optimal control; optimization (49-XX) 42 Functional analysis (46-XX) 27 Numerical analysis (65-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 15 Systems theory; control (93-XX) 13 Real functions (26-XX) 11 Statistical mechanics, structure of matter (82-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Operator theory (47-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Biology and other natural sciences (92-XX) 7 Geophysics (86-XX) 6 Differential geometry (53-XX) 6 Mechanics of particles and systems (70-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Potential theory (31-XX) 4 History and biography (01-XX) 4 Measure and integration (28-XX) 4 Functions of a complex variable (30-XX) 4 Information and communication theory, circuits (94-XX) 3 Ordinary differential equations (34-XX) 3 Operations research, mathematical programming (90-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Probability theory and stochastic processes (60-XX) 2 Astronomy and astrophysics (85-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 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)