Edit Profile (opens in new tab) Seregin, Gregory A. Co-Author Distance Author ID: seregin.gregory-a Published as: Seregin, G. A.; Seregin, G.; Seregin, Gregory; Serëgin, G. A.; Seregin, Gregory A.; Serëgin, G.; Seregin, Gregori more...less Further Spellings: Серёгин Григорий Александрович Homepage: https://www.maths.ox.ac.uk/people/gregory.seregin External Links: ResearchGate · Math-Net.Ru Documents Indexed: 151 Publications since 1981, including 2 Books 21 Contributions as Editor · 3 Further Contributions Co-Authors: 53 Co-Authors with 89 Joint Publications 2,169 Co-Co-Authors all top 5 Co-Authors 82 single-authored 17 Šverák, Vladimír 12 Fuchs, Martin 12 Ladyzhenskaya, Ol’ga Aleksandrovna 9 Repin, Sergeĭ Igorevich 7 Shilkin, T. N. 7 Ural’tseva, Nina Nikolaevna 6 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 Burczak, Jan 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 Beirão da Veiga, Hugo 1 Bildhauer, Michael 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 D. 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 Nicolaenko, Basil 1 Nirenberg, Louis 1 Ożański, Wojciech Sławomir 1 Palmer, Tim N. 1 Pileckas, Konstantin 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 Urbano, José Miguel 1 Vishik, Marko Iosifovich 1 Wang, Mu-Tao 1 Wang, Wendong 1 Yau, Shing-Tung 1 Zelik, Sergey V. 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 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 all top 5 Fields 116 Partial differential equations (35-XX) 82 Fluid mechanics (76-XX) 55 Mechanics of deformable solids (74-XX) 42 Calculus of variations and optimal control; optimization (49-XX) 22 General and overarching topics; collections (00-XX) 15 Ordinary differential equations (34-XX) 7 History and biography (01-XX) 6 Functional analysis (46-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Operator theory (47-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 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 120 Publications have been cited 2,004 times in 1,200 Documents Cited by ▼ Year ▼ \(L_{3,\infty}\)-solutions of Navier-Stokes equations and backward uniqueness. Zbl 1064.35134Escauriaza, L.; Serëgin, G. A.; Shverak, V. 280 2003 Liouville theorems for the Navier-Stokes equations and applications. Zbl 1208.35104Koch, Gabriel; Nadirashvili, Nikolai; Seregin, Gregory A.; Šverák, Vladimir 146 2009 On partial regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations. Zbl 0954.35129Ladyzhenskaya, O. A.; Seregin, G. A. 131 1999 Variational methods for problems from plasticity theory and for generalized Newtonian fluids. Zbl 0964.76003Fuchs, Martin; Seregin, Gregory 112 2000 Backward uniqueness for parabolic equations. Zbl 1039.35052Escauriaza, L.; Seregin, G.; Šverák, V. 111 2003 Regularity results for parabolic systems related to a class of non-Newtonian fluids. Zbl 1052.76004Acerbi, E.; Mingione, G.; Seregin, G. A. 103 2004 Global existence of weak solutions for viscous incompressible flows around a moving rigid body in three dimensions. Zbl 0970.35096Gunzburger, Max D.; Lee, Hyung-Chun; Seregin, Gregory A. 75 2000 On divergence-free drifts. Zbl 1232.35027Seregin, Gregory; Silvestre, Luis; Šverák, Vladimír; Zlatoš, Andrej 63 2012 Liouville type theorem for stationary Navier-Stokes equations. Zbl 1350.35047Seregin, G. 61 2016 On type I singularities of the local axi-symmetric solutions of the Navier-Stokes equations. Zbl 1180.35002Seregin, G.; Šverák, V. 56 2009 Local regularity of suitable weak solutions to the Navier-Stokes equations near the boundary. Zbl 0997.35044Seregin, G. A. 55 2002 A certain necessary condition of potential blow up for Navier-Stokes equations. Zbl 1253.35105Seregin, G. 49 2012 Navier-Stokes equations with lower bounds on the pressure. Zbl 1002.35094Seregin, G.; Šverák, V. 46 2002 Lecture notes on regularity theory for the Navier-Stokes equations. Zbl 1314.35001Seregin, Gregory 40 2015 A regularity theory for variational integrals with \(L\ln L\)-growth. Zbl 0929.49022Fuchs, Martin; Seregin, Gregory 33 1998 Weak solutions to the Cauchy problem for the Navier-Stokes equations satisfying the local energy inequality. Zbl 1361.35130Kikuchi, N.; Seregin, G. 30 2007 On smoothness of \(L_{3,\infty}\)-solutions to the Navier-Stokes equations up to boundary. Zbl 1072.35146Seregin, G. 27 2005 Variational methods for fluids of Prandtl-Eyring type and plastic materials with logarithmic hardening. Zbl 0928.76087Fuchs, Martin; Seregin, Gregory 22 1999 Boundary partial regularity for the Navier-Stokes equations. Zbl 1095.35031Seregin, G. A.; Shilkin, T. N.; Solonnikov, V. A. 20 2004 Some estimates near the boundary for solutions to the nonstationary linearized Navier-Stokes equations. Zbl 1037.35059Seregin, G. A. 19 2000 Global regularity of solutions of coupled Navier-Stokes equations and nonlinear Fokker Planck equations. Zbl 1191.35084Constantin, Peter; Seregin, Gregory 19 2010 Sufficient conditions on Liouville type theorems for the 3D steady Navier-Stokes equations. Zbl 1434.35063Seregin, G.; Wang, W. 18 2020 Local regularity for suitable weak solutions of the Navier-Stokes equations. Zbl 1139.76018Seregin, G. A. 17 2007 On the number of singular points of weak solutions to the Navier-Stokes equations. Zbl 1030.35133Seregin, G. A. 17 2001 On global weak solutions to the Cauchy problem for the Navier-Stokes equations with large \(L_3\)-initial data. Zbl 1361.35134Seregin, G.; Šverák, V. 17 2017 A sufficient condition of regularity for axially symmetric solutions to the Navier-Stokes equations. Zbl 1169.35366Seregin, G.; Zajaczkowski, W. 14 2007 Regularity results for the quasi-static Bingham variational inequality in dimensions two and three. Zbl 0899.76044Fuchs, Martin; Seregin, Gregory 14 1998 Backward uniqueness for the heat operator in a half-space. Zbl 1053.35052Escauriaza, L.; Seregin, G.; Šverák, V. 14 2004 A necessary condition of potential blowup for the Navier-Stokes system in half-space. Zbl 1383.35138Barker, T.; Seregin, G. 13 2017 Liouville theorem for 2D Navier-Stokes equations in a half space. Zbl 1331.35067Seregin, G. 11 2015 Navier-Stokes equations: almost \(L_{3,\infty}\)-case. Zbl 1128.35085Seregin, G. 11 2007 Interior regularity for solutions to the modified Navier-Stokes equations. Zbl 0961.35106Seregin, G. A. 11 1999 Liouville theorems in unbounded domains for the time-dependent Stokes system. Zbl 1278.35177Jia, Hao; Seregin, Gregory; Šverák, Vladimír 10 2012 Existence of a weak solution of the minimax problem arising in Coulomb-Mohr plasticity. Zbl 0890.73079Repin, S.; Seregin, G. 10 1995 On stability of weak Navier-Stokes solutions with large \(L^{3,\infty}\) initial data. Zbl 1405.35077Barker, Tobias; Seregin, G.; Šverák, V. 10 2018 Liouville-type theorems for the Navier-Stokes equations. Zbl 1416.35191Seregin, G. A.; Shilkin, T. N. 10 2018 Some remarks on non-Newtonian fluids including nonconvex perturbations of the Bingham and Powell-Eyring model for viscoplastic fluids. Zbl 0882.76007Fuchs, Martin; Seregin, Gregory 10 1997 Regularity of solutions to variational problems of the deformation theory of plasticity with logarithmic hardening. Zbl 0973.74033Seregin, G. A.; Frehse, J. 10 1998 Differentiability properties of weak solutions of certain variational problems in the theory of perfect elastoplastic plates. Zbl 0779.73086Seregin, G. A. 9 1993 A note on necessary conditions for blow-up of energy solutions to the Navier-Stokes equations. Zbl 1247.35096Seregin, Gregory 9 2011 On backward uniqueness for parabolic equations. Zbl 1068.35090Escauriaza, L.; Seregin, G.; Šverák, V. 9 2002 Hölder continuity for weak extremals of some two-dimensional variational problems related to nonlinear elasticity. Zbl 0929.49021Fuchs, Martin; Seregin, Gregori 9 1997 On a bounded shear flow in a half-space. Zbl 1308.35175Seregin, G.; Sverak, V. 8 2011 Estimates of suitable weak solutions to the Navier-Stokes equations in critical Morrey spaces. Zbl 1127.35042Seregin, G. A. 8 2006 The real butterfly effect. Zbl 1322.34056Palmer, T. N.; Döring, A.; Seregin, G. 8 2014 Remarks on Liouville type theorems for steady-state Navier-Stokes equations. Zbl 1412.35227Seregin, G. 8 2019 Two-dimensional variational problems of the theory of plasticity. Zbl 0881.73039Seregin, G. A. 8 1996 Ancient solutions to Navier-Stokes equations in half space. Zbl 1326.35233Barker, T.; Seregin, G. 8 2015 A note on local boundary regularity for the Stokes system. Zbl 1288.35376Seregin, G. A. 8 2010 Differentiability properties of weak solutions of the Navier-Stokes equations. Zbl 1039.35080Seregin, G. A. 8 2003 Necessary conditions of a potential blow-up for Navier-Stokes equations. Zbl 1304.35504Seregin, G. A. 7 2011 The local regularity theory for the Navier-Stokes equations near the boundary. Zbl 1311.35190Seregin, G. A.; Shilkin, T. N. 7 2014 A sufficient condition of local regularity for the Navier-Stokes equations. Zbl 1137.35056Zajaczkowski, W.; Seregin, G. A. 7 2006 Hölder continuity of solutions of 2D Navier-Stokes equations with singular forcing. Zbl 1223.35099Constantin, Peter; Seregin, Gregory 7 2010 Partial regularity of the deformation gradient for some model problems in nonlinear two-dimensional elasticity. Zbl 0827.73010Fuchs, M.; Seregin, G. 7 1994 Error estimates for stresses in the finite element analysis of the two-dimensional elasto-plastic problems. Zbl 0899.73532Repin, S.; Seregin, G. 7 1995 The Navier–Stokes equations and backward uniqueness. Zbl 1024.76011Seregin, Gregory; Šverák, Vladimir 7 2002 A Liouville theorem for the Stokes system in a half-space. Zbl 1300.35094Jia, H.; Seregin, G.; Sverak, V. 6 2013 Rescalings at possible singularities of Navier-Stokes equations in half-space. Zbl 1319.35165Seregin, G.; Šverák, V. 6 2014 Axisymmetric flows in the exterior of a cylinder. Zbl 1446.35092Abe, K.; Seregin, G. 6 2020 Regularity for minimizers of some variational problems in plasticity theory. Zbl 0904.49025Seregin, G. A.; Shilkin, T. N. 6 1997 Remarks on the regularity of weak solutions to the Navier-Stokes equations near the boundary. Zbl 1083.35098Seregin, G. A. 6 2003 On the regularity of the minimizers of some variational problems of the plasticity theory. Zbl 0791.73084Seregin, G. A. 5 1992 On the regularity of weak solutions of variational problems in the theory of plasticity. Zbl 0704.73104Seregin, G. A. 5 1990 Differentiability of extremals of variational problems in the mechanics of elastic perfectly plastic media. Zbl 0655.73017Seregin, G. A. 5 1987 On smoothness of suitable weak solutions to the Navier-Stokes equations. Zbl 1148.35344Seregin, G.; Šverák, V. 5 2005 On semigroups generated by initial-boundary value problems describing two-dimensional visco-plastic flows. Zbl 0846.35068Ladyzhenskaya, O.; Serëgin, G. 5 1995 Regularity of solutions to the Navier-Stokes equations in \(\dot{B}_{\infty, \infty}^{-1} \). Zbl 1448.35370Seregin, G.; Zhou, D. 5 2020 Local regularity of axisymmetric solutions to the Navier-Stokes equations. Zbl 1450.35097Seregin, G. 5 2020 A local estimate of the type of the Caccioppoli inequality for extremals of the Hencky variational plasticity problems. Zbl 0769.73098Serëgin, G. A. 5 1988 Continuity for the strain velocity tensor in two-dimensional variational problems from the theory of the Bingham fluid. Zbl 0953.49002Seregin, Gregory 5 1997 On differential properties of extremals of variational problems arising in the theory of plasticity. Zbl 0709.73021Seregin, G. A. 4 1990 Leray-Hopf solutions to Navier-Stokes equations with weakly converging initial data. Zbl 1296.35124Seregin, Gregory 4 2012 On differentiability properties of the stress tensor in the Coulomb-Mohr theory of plasticity. Zbl 0838.73029Seregin, G. A. 4 1992 A global nonlinear evolution problem for generalized Newtonian fluids: Local initial regularity of the strong solution. Zbl 1122.76008Fuchs, M.; Seregin, G. 4 2007 On a method of approximate solution of initial-boundary value problems for the Navier-Stokes equations. Zbl 0773.76024Ladyzhenskaya, O. A.; Seregin, G. A. 4 1992 Variational methods for problems from plasticity theory and for generalized Newtonian fluids. Zbl 0943.74076Fuchs, Martin; Seregin, Gregory 4 1999 Regularity of solutions of two-dimensional equations in fluid dynamics models with nonlinear viscosity. Zbl 1060.76005Ladyzhenskaya, O. A.; Seregin, G. A. 4 1999 Remarks on regularity up to the boundary for solutions to variational problems in plasticity theory. Zbl 0954.74508Seregin, G. A. 4 1996 Variational-difference schemes for problems of mechanics of ideally elasto-plastic media. Zbl 0566.73031Serëgin, G. A. 3 1985 Variation-difference schemes for problems in the mechanics of ideally elastoplastic media. Zbl 0584.73039Serëgin, G. A. 3 1985 On a method of approximation of initial boundary value problems for the Navier-Stokes equations. Zbl 0830.76019Ladyzhenskaya, O. A.; Seregin, G. A. 3 1992 On differential properties of extremals of variational problems of the mechanics of viscoplastic media. Zbl 0734.73096Seregin, G. A. 3 1991 Differential properties of solutions of variational problems for functionals of linear growth. Zbl 0773.49020Serëgin, G. A. 3 1990 Partial regularity of the deformation gradient for some model problems in nonlinear two-dimensional elasticity. Zbl 0839.73009Fuchs, M.; Seregin, G. 3 1994 Differential properties of solutions of variational problems for functionals of linear growth. Zbl 0791.49040Serëgin, G. A. 3 1990 The uniqueness of solutions of some variational problems of the theory of phase equilibrium in solid bodies. Zbl 0863.73079Seregin, G. A. 3 1995 Some remarks on the mollification of piecewise-linear homeomorphisms. Zbl 0927.49001Seregin, G. A.; Shilkin, T. N. 3 1995 Full regularity for a class of degenerated parabolic systems in two spatial variables. Zbl 0931.35029Frehse, J.; Seregin, G. A. 3 1999 Olga Alexandrovna Ladyzhenskaya (1922–2004). Zbl 1168.01327Friedlander, Susan; Lax, Peter; Morawetz, Cathleen; Nirenberg, Louis; Seregin, Gregory; Ural’tseva, Nina; Vishik, Mark 3 2004 On Type I blowups of suitable weak solutions to the Navier-Stokes equations near boundary. Zbl 1508.35044Seregin, G. 3 2022 Time decay for solutions to the Stokes equations with drift. Zbl 1390.35237Schonbek, M.; Seregin, G. 2 2018 Variational problems and evolution variational inequalities in nonreflexive spaces with applications to problems of geometry and plasticity. Zbl 0544.49006Seregin, G. A. 2 1984 On the well-posedness of variational problems of the mechanics of ideally elastic-plastic media. Zbl 0593.73034Seregin, G. A. 2 1984 New version of the Ladyzhenskaya-Prodi-Serrin condition. Zbl 1129.35060Seregin, G. A. 2 2007 On a global stability of the two-dimensional visco-plastic flows. Zbl 0790.73027Ladyzhenskaya, O.; Seregin, G. 2 1993 New sufficient conditions of local regularity for solutions to the Navier-Stokes equations. Zbl 1162.76325Mahalov, A.; Nicolaenko, B.; Seregin, G. 2 2008 Selected topics of local regularity theory for Navier-Stokes equations. Zbl 1301.35094Seregin, Gregory 2 2013 On the best position of elastic symmetry planes in an orthotropic body. Zbl 0497.73014Seregin, G. A.; Troitskij, V. A. 2 1981 On the regularity of minimizers of some variational problems of the theory of plasticity. Zbl 0778.73085Seregin, G. A. 2 1992 On Type I blowups of suitable weak solutions to the Navier-Stokes equations near boundary. Zbl 1508.35044Seregin, G. 3 2022 A slightly supercritical condition of regularity of axisymmetric solutions to the Navier-Stokes equations. Zbl 1513.76060Seregin, G. 2 2022 A note on local regularity of axisymmetric solutions to the Navier-Stokes equations. Zbl 1518.76014Seregin, G. 2 2022 A note on weak solutions to the Navier-Stokes equations that are locally in \(L_\infty (L^{3,\infty })\). Zbl 1464.35192Seregin, G. 2 2021 On regularity properties of a surface growth model. Zbl 1479.35166Burczak, Jan; Ożański, Wojciech S.; Seregin, Gregory 1 2021 Sufficient conditions on Liouville type theorems for the 3D steady Navier-Stokes equations. Zbl 1434.35063Seregin, G.; Wang, W. 18 2020 Axisymmetric flows in the exterior of a cylinder. Zbl 1446.35092Abe, K.; Seregin, G. 6 2020 Regularity of solutions to the Navier-Stokes equations in \(\dot{B}_{\infty, \infty}^{-1} \). Zbl 1448.35370Seregin, G.; Zhou, D. 5 2020 Local regularity of axisymmetric solutions to the Navier-Stokes equations. Zbl 1450.35097Seregin, G. 5 2020 Remarks on Liouville type theorems for steady-state Navier-Stokes equations. Zbl 1412.35227Seregin, G. 8 2019 On stability of weak Navier-Stokes solutions with large \(L^{3,\infty}\) initial data. Zbl 1405.35077Barker, Tobias; Seregin, G.; Šverák, V. 10 2018 Liouville-type theorems for the Navier-Stokes equations. Zbl 1416.35191Seregin, G. A.; Shilkin, T. N. 10 2018 Time decay for solutions to the Stokes equations with drift. Zbl 1390.35237Schonbek, 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 1361.35134Seregin, G.; Šverák, V. 17 2017 A necessary condition of potential blowup for the Navier-Stokes system in half-space. Zbl 1383.35138Barker, T.; Seregin, G. 13 2017 Remark on Wolf’s condition for boundary regularity of the Navier-Stokes equations. Zbl 1373.35067Seregin, G. 2 2017 Liouville type theorem for stationary Navier-Stokes equations. Zbl 1350.35047Seregin, G. 61 2016 Lecture notes on regularity theory for the Navier-Stokes equations. Zbl 1314.35001Seregin, Gregory 40 2015 Liouville theorem for 2D Navier-Stokes equations in a half space. Zbl 1331.35067Seregin, G. 11 2015 Ancient solutions to Navier-Stokes equations in half space. Zbl 1326.35233Barker, T.; Seregin, G. 8 2015 The real butterfly effect. Zbl 1322.34056Palmer, T. N.; Döring, A.; Seregin, G. 8 2014 The local regularity theory for the Navier-Stokes equations near the boundary. Zbl 1311.35190Seregin, G. A.; Shilkin, T. N. 7 2014 Rescalings at possible singularities of Navier-Stokes equations in half-space. Zbl 1319.35165Seregin, G.; Šverák, V. 6 2014 A Liouville theorem for the Stokes system in a half-space. Zbl 1300.35094Jia, H.; Seregin, G.; Sverak, V. 6 2013 Selected topics of local regularity theory for Navier-Stokes equations. Zbl 1301.35094Seregin, Gregory 2 2013 On divergence-free drifts. Zbl 1232.35027Seregin, Gregory; Silvestre, Luis; Šverák, Vladimír; Zlatoš, Andrej 63 2012 A certain necessary condition of potential blow up for Navier-Stokes equations. Zbl 1253.35105Seregin, G. 49 2012 Liouville theorems in unbounded domains for the time-dependent Stokes system. Zbl 1278.35177Jia, Hao; Seregin, Gregory; Šverák, Vladimír 10 2012 Leray-Hopf solutions to Navier-Stokes equations with weakly converging initial data. Zbl 1296.35124Seregin, Gregory 4 2012 A note on bounded scale-invariant quantities for the Navier-Stokes equations. Zbl 1261.35112Seregin, G. 2 2012 A note on necessary conditions for blow-up of energy solutions to the Navier-Stokes equations. Zbl 1247.35096Seregin, Gregory 9 2011 On a bounded shear flow in a half-space. Zbl 1308.35175Seregin, G.; Sverak, V. 8 2011 Necessary conditions of a potential blow-up for Navier-Stokes equations. Zbl 1304.35504Seregin, G. A. 7 2011 Weak solutions to the Navier-Stokes equations with bounded scale-invariant quantities. Zbl 1229.35191Seregin, Gregory A. 1 2011 Global regularity of solutions of coupled Navier-Stokes equations and nonlinear Fokker Planck equations. Zbl 1191.35084Constantin, Peter; Seregin, Gregory 19 2010 A note on local boundary regularity for the Stokes system. Zbl 1288.35376Seregin, G. A. 8 2010 Hölder continuity of solutions of 2D Navier-Stokes equations with singular forcing. Zbl 1223.35099Constantin, Peter; Seregin, Gregory 7 2010 Liouville theorems for the Navier-Stokes equations and applications. Zbl 1208.35104Koch, Gabriel; Nadirashvili, Nikolai; Seregin, Gregory A.; Šverák, Vladimir 146 2009 On type I singularities of the local axi-symmetric solutions of the Navier-Stokes equations. Zbl 1180.35002Seregin, G.; Šverák, V. 56 2009 Reverse Hölder inequality for a class of suitable weak solutions to the Navier-Stokes equations. Zbl 1315.35146Seregin, G. A. 1 2009 New sufficient conditions of local regularity for solutions to the Navier-Stokes equations. Zbl 1162.76325Mahalov, A.; Nicolaenko, B.; Seregin, G. 2 2008 Weak solutions to the Cauchy problem for the Navier-Stokes equations satisfying the local energy inequality. Zbl 1361.35130Kikuchi, N.; Seregin, G. 30 2007 Local regularity for suitable weak solutions of the Navier-Stokes equations. Zbl 1139.76018Seregin, G. A. 17 2007 A sufficient condition of regularity for axially symmetric solutions to the Navier-Stokes equations. Zbl 1169.35366Seregin, G.; Zajaczkowski, W. 14 2007 Navier-Stokes equations: almost \(L_{3,\infty}\)-case. Zbl 1128.35085Seregin, G. 11 2007 A global nonlinear evolution problem for generalized Newtonian fluids: Local initial regularity of the strong solution. Zbl 1122.76008Fuchs, M.; Seregin, G. 4 2007 New version of the Ladyzhenskaya-Prodi-Serrin condition. Zbl 1129.35060Seregin, G. A. 2 2007 Estimates of suitable weak solutions to the Navier-Stokes equations in critical Morrey spaces. Zbl 1127.35042Seregin, G. A. 8 2006 A sufficient condition of local regularity for the Navier-Stokes equations. Zbl 1137.35056Zajaczkowski, W.; Seregin, G. A. 7 2006 On smoothness of \(L_{3,\infty}\)-solutions to the Navier-Stokes equations up to boundary. Zbl 1072.35146Seregin, G. 27 2005 On smoothness of suitable weak solutions to the Navier-Stokes equations. Zbl 1148.35344Seregin, G.; Šverák, V. 5 2005 Regularity results for parabolic systems related to a class of non-Newtonian fluids. Zbl 1052.76004Acerbi, E.; Mingione, G.; Seregin, G. A. 103 2004 Boundary partial regularity for the Navier-Stokes equations. Zbl 1095.35031Seregin, G. A.; Shilkin, T. N.; Solonnikov, V. A. 20 2004 Backward uniqueness for the heat operator in a half-space. Zbl 1053.35052Escauriaza, L.; Seregin, G.; Šverák, V. 14 2004 Olga Alexandrovna Ladyzhenskaya (1922–2004). Zbl 1168.01327Friedlander, 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 1064.35134Escauriaza, L.; Serëgin, G. A.; Shverak, V. 280 2003 Backward uniqueness for parabolic equations. Zbl 1039.35052Escauriaza, L.; Seregin, G.; Šverák, V. 111 2003 Differentiability properties of weak solutions of the Navier-Stokes equations. Zbl 1039.35080Seregin, G. A. 8 2003 Remarks on the regularity of weak solutions to the Navier-Stokes equations near the boundary. Zbl 1083.35098Seregin, G. A. 6 2003 Local regularity of suitable weak solutions to the Navier-Stokes equations near the boundary. Zbl 0997.35044Seregin, G. A. 55 2002 Navier-Stokes equations with lower bounds on the pressure. Zbl 1002.35094Seregin, G.; Šverák, V. 46 2002 On backward uniqueness for parabolic equations. Zbl 1068.35090Escauriaza, L.; Seregin, G.; Šverák, V. 9 2002 The Navier–Stokes equations and backward uniqueness. Zbl 1024.76011Seregin, Gregory; Šverák, Vladimir 7 2002 On the number of singular points of weak solutions to the Navier-Stokes equations. Zbl 1030.35133Seregin, G. A. 17 2001 Local regularity of solutions of variational problems for the equilibrium configuration of an incompressible, multiphase elastic body. Zbl 0984.49021Bildhauer, Michael; Fuchs, Martin; Seregin, Gregory 1 2001 Variational methods for problems from plasticity theory and for generalized Newtonian fluids. Zbl 0964.76003Fuchs, Martin; Seregin, Gregory 112 2000 Global existence of weak solutions for viscous incompressible flows around a moving rigid body in three dimensions. Zbl 0970.35096Gunzburger, Max D.; Lee, Hyung-Chun; Seregin, Gregory A. 75 2000 Some estimates near the boundary for solutions to the nonstationary linearized Navier-Stokes equations. Zbl 1037.35059Seregin, G. A. 19 2000 Coercive estimates for solutions of linearizations of modified Navier-Stokes equations. Zbl 1047.35111Ladyzhenskaya, 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 1032.74028Fuchs, Martin; Seregin, Gregory 2 2000 On partial regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations. Zbl 0954.35129Ladyzhenskaya, O. A.; Seregin, G. A. 131 1999 Variational methods for fluids of Prandtl-Eyring type and plastic materials with logarithmic hardening. Zbl 0928.76087Fuchs, Martin; Seregin, Gregory 22 1999 Interior regularity for solutions to the modified Navier-Stokes equations. Zbl 0961.35106Seregin, G. A. 11 1999 Variational methods for problems from plasticity theory and for generalized Newtonian fluids. Zbl 0943.74076Fuchs, Martin; Seregin, Gregory 4 1999 Regularity of solutions of two-dimensional equations in fluid dynamics models with nonlinear viscosity. Zbl 1060.76005Ladyzhenskaya, O. A.; Seregin, G. A. 4 1999 Full regularity for a class of degenerated parabolic systems in two spatial variables. Zbl 0931.35029Frehse, J.; Seregin, G. A. 3 1999 A regularity theory for variational integrals with \(L\ln L\)-growth. Zbl 0929.49022Fuchs, Martin; Seregin, Gregory 33 1998 Regularity results for the quasi-static Bingham variational inequality in dimensions two and three. Zbl 0899.76044Fuchs, Martin; Seregin, Gregory 14 1998 Regularity of solutions to variational problems of the deformation theory of plasticity with logarithmic hardening. Zbl 0973.74033Seregin, G. A.; Frehse, J. 10 1998 Smoothness of solutions of equations describing generalized Newtonian flows and estimates for the dimensions of their attractors. Zbl 0920.35113Ladyzhenskaya, O. A.; Seregin, G. A. 2 1998 Variational problem on the phase equilibrium of an elastic body. Zbl 0923.73080Seregin, G. A. 1 1998 Some remarks on non-Newtonian fluids including nonconvex perturbations of the Bingham and Powell-Eyring model for viscoplastic fluids. Zbl 0882.76007Fuchs, Martin; Seregin, Gregory 10 1997 Hölder continuity for weak extremals of some two-dimensional variational problems related to nonlinear elasticity. Zbl 0929.49021Fuchs, Martin; Seregin, Gregori 9 1997 Regularity for minimizers of some variational problems in plasticity theory. Zbl 0904.49025Seregin, 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 0953.49002Seregin, Gregory 5 1997 Flow of the two-dimensional generalized Newtonian fluid. Zbl 0891.35118Seregin, G. A. 2 1997 Two-dimensional variational problems of the theory of plasticity. Zbl 0881.73039Seregin, G. A. 8 1996 Remarks on regularity up to the boundary for solutions to variational problems in plasticity theory. Zbl 0954.74508Seregin, G. A. 4 1996 Existence of a weak solution of the minimax problem arising in Coulomb-Mohr plasticity. Zbl 0890.73079Repin, S.; Seregin, G. 10 1995 Error estimates for stresses in the finite element analysis of the two-dimensional elasto-plastic problems. Zbl 0899.73532Repin, S.; Seregin, G. 7 1995 On semigroups generated by initial-boundary value problems describing two-dimensional visco-plastic flows. Zbl 0846.35068Ladyzhenskaya, O.; Serëgin, G. 5 1995 The uniqueness of solutions of some variational problems of the theory of phase equilibrium in solid bodies. Zbl 0863.73079Seregin, G. A. 3 1995 Some remarks on the mollification of piecewise-linear homeomorphisms. Zbl 0927.49001Seregin, 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 0947.74019Seregin, G. A. 2 1995 Partial regularity of the deformation gradient for some model problems in nonlinear two-dimensional elasticity. Zbl 0827.73010Fuchs, M.; Seregin, G. 7 1994 Partial regularity of the deformation gradient for some model problems in nonlinear two-dimensional elasticity. Zbl 0839.73009Fuchs, M.; Seregin, G. 3 1994 Differentiability properties of weak solutions of certain variational problems in the theory of perfect elastoplastic plates. Zbl 0779.73086Seregin, G. A. 9 1993 On a global stability of the two-dimensional visco-plastic flows. Zbl 0790.73027Ladyzhenskaya, O.; Seregin, G. 2 1993 On the regularity of the minimizers of some variational problems of the plasticity theory. Zbl 0791.73084Seregin, G. A. 5 1992 On differentiability properties of the stress tensor in the Coulomb-Mohr theory of plasticity. Zbl 0838.73029Seregin, G. A. 4 1992 ...and 20 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,021 Authors 40 Seregin, Gregory A. 34 Fuchs, Martin 25 Chae, Dongho 23 Zhang, Zujin 18 Repin, Sergeĭ Igorevich 18 Wang, Yanqing 17 Kang, Kyungkeun 17 Takahashi, Takéo 16 Barker, Tobias 16 Bildhauer, Michael 16 Skalák, Zdeněk 16 Wang, Wendong 15 Liu, Qiao 15 Mingione, Giuseppe 15 Šverák, Vladimír 15 Wolf, Jörg 15 Yang, Minsuk 14 Beirão da Veiga, Hugo 14 Tsai, Tai-Peng 13 Breit, Dominic 13 Wu, Fan 13 Wu, Gang 12 Neustupa, Jiří 12 Pan, Xinghong 11 Antontsev, Stanislav Nikolaevich 11 Gmeineder, Franz 11 Nečasová, Šárka 10 Bradshaw, Zachary 10 Dong, Hongjie 10 Kukavica, Igor 10 Prange, Christophe 9 Bögelein, Verena 9 Carstensen, Carsten 9 Choe, Hi Jun 9 Duzaar, Frank 9 Zhang, Zhifei 8 Albritton, Dallas 8 Berselli, Luigi Carlo 8 Robinson, James Cooper 8 Yang, Jiaqi 8 Zhang, Qi-Shuhuason 8 Zhou, Daoguo 7 Bae, Hyeong-Ohk 7 Burczak, Jan 7 Granucci, Tiziano 7 Guo, Zhengguang 7 Han, Pigong 7 Haslinger, Jaroslav 7 Hillairet, Matthieu 7 Kim, Jaemyoung 7 Lei, Zhen 7 Lemarié-Rieusset, Pierre Gilles 7 Leonetti, Francesco 7 Ożański, Wojciech Sławomir 7 Růžička, Michael 7 Sysala, Stanislav 7 Vicol, Vlad C. 7 Zhang, Ting 6 Bulíček, Miroslav 6 Chen, Hui 6 Diening, Lars 6 Fan, Jishan 6 Farwig, Reinhard 6 Giga, Yoshikazu 6 Jin, Bumja 6 Kozono, Hideo 6 Liu, Pan 6 Miura, Hideyuki 6 Mizoguchi, Noriko 6 Oskolkov, Anatolii Petrovich 6 Qian, Chenyin 6 Terasawa, Yutaka 6 Wakasugi, Yuta 6 Yu, Xinwei 5 Chamorro, Diego 5 Cheskidov, Alexey 5 Cianchi, Andrea 5 Crispo, Francesca 5 Escauriaza Zubiria, Luis 5 Friedlander, Susan Jean 5 Fu, Yongqiang 5 Gala, Sadek 5 Jarrín, Oscar 5 Jiu, Quansen 5 Kučera, Petr 5 Li, Zijin 5 Maekawa, Yasunori 5 Málek, Josef 5 Phan, Tuoc Van 5 Pokorný, Milan 5 Roy, Arnab 5 Rusin, Walter M. 5 Shmarev, Sergey I. 5 Shvydkoy, Roman V. 5 Tran, Chuong V. 5 Wang, Yun 5 Weng, Shangkun 5 Yamazaki, Kazuo 5 Yao, Zhengan 5 Zhao, Jihong ...and 921 more Authors all top 5 Cited in 209 Serials 82 Journal of Differential Equations 70 Journal of Mathematical Fluid Mechanics 68 Journal of Mathematical Analysis and Applications 60 Journal of Mathematical Sciences (New York) 57 Archive for Rational Mechanics and Analysis 49 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 27 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 25 SIAM Journal on Mathematical Analysis 25 Calculus of Variations and Partial Differential Equations 24 Nonlinear Analysis. Real World Applications 23 Communications in Mathematical Physics 19 Journal of Mathematical Physics 19 Journal of Functional Analysis 17 Applied Mathematics Letters 17 Communications in Partial Differential Equations 14 Computers & Mathematics with Applications 14 Mathematical Methods in the Applied Sciences 14 Manuscripta Mathematica 14 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 14 Discrete and Continuous Dynamical Systems 13 Mathematische Annalen 13 Journal de Mathématiques Pures et Appliquées. Neuvième Série 12 Nonlinearity 12 ZAMP. Zeitschrift für angewandte Mathematik und Physik 10 Acta Applicandae Mathematicae 10 Journal of Nonlinear Science 10 NoDEA. Nonlinear Differential Equations and Applications 10 Communications in Contemporary Mathematics 10 Communications on Pure and Applied Analysis 9 Transactions of the American Mathematical Society 9 St. Petersburg Mathematical Journal 9 Journal of Evolution Equations 9 Boundary Value Problems 8 Applicable Analysis 8 Applications of Mathematics 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 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 7 Science China. Mathematics 6 Advances in Mathematics 6 The Journal of Geometric Analysis 6 Acta Mathematica Sinica. English Series 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Chinese Annals of Mathematics. Series B 5 Physica D 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Bulletin of the American Mathematical Society. New Series 4 Journal of Fluid Mechanics 4 Applied Mathematics and Optimization 4 Indiana University Mathematics Journal 4 Numerische Mathematik 4 Annals of Mathematics. Second Series 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Complex Variables and Elliptic Equations 4 Analysis & PDE 4 Afrika Matematika 4 Advances in Nonlinear Analysis 4 Journal of Function Spaces 4 Séminaire Laurent Schwartz. EDP et Applications 4 Journal of Elliptic and Parabolic Equations 3 Journal of Applied Mathematics and Mechanics 3 Applied Mathematics and Computation 3 Journal of Computational and Applied Mathematics 3 Journal of the London Mathematical Society. Second Series 3 Mathematische Nachrichten 3 Monatshefte für Mathematik 3 SIAM Journal on Control and Optimization 3 Bulletin of the Korean Mathematical Society 3 Revista Matemática Iberoamericana 3 Journal of Dynamics and Differential Equations 3 Potential Analysis 3 Electronic Journal of Differential Equations (EJDE) 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 Journal of Physics A: Mathematical and Theoretical 3 Discrete and Continuous Dynamical Systems. Series S 3 Mathematical Control and Related Fields 3 Evolution Equations and Control Theory 2 Communications on Pure and Applied Mathematics 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 2 Bulletin de la Société Mathématique de France 2 Inventiones Mathematicae 2 Journal of Optimization Theory and Applications 2 Mathematische Zeitschrift 2 Memoirs of the American Mathematical Society 2 Pacific Journal of Mathematics 2 Quarterly of Applied Mathematics 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 ...and 109 more Serials all top 5 Cited in 42 Fields 1,072 Partial differential equations (35-XX) 738 Fluid mechanics (76-XX) 104 Mechanics of deformable solids (74-XX) 89 Calculus of variations and optimal control; optimization (49-XX) 53 Functional analysis (46-XX) 36 Numerical analysis (65-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 21 Systems theory; control (93-XX) 19 Real functions (26-XX) 13 Dynamical systems and ergodic theory (37-XX) 13 Operator theory (47-XX) 12 Statistical mechanics, structure of matter (82-XX) 12 Geophysics (86-XX) 11 Global analysis, analysis on manifolds (58-XX) 9 Classical thermodynamics, heat transfer (80-XX) 9 Biology and other natural sciences (92-XX) 8 Probability theory and stochastic processes (60-XX) 8 Mechanics of particles and systems (70-XX) 7 Measure and integration (28-XX) 7 Differential geometry (53-XX) 6 History and biography (01-XX) 6 Potential theory (31-XX) 6 Quantum theory (81-XX) 5 Functions of a complex variable (30-XX) 4 Ordinary differential equations (34-XX) 4 Optics, electromagnetic theory (78-XX) 4 Operations research, mathematical programming (90-XX) 4 Information and communication theory, circuits (94-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Astronomy and astrophysics (85-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-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) Citations by Year