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: 159 Publications since 1981, including 2 Books and 5 Additional arXiv Preprints 21 Contributions as Editor · 3 Further Contributions Co-Authors: 57 Co-Authors with 90 Joint Publications 2,432 Co-Co-Authors all top 5 Co-Authors 87 single-authored 17 Šverák, Vladimír 12 Fuchs, Martin 12 Ladyzhenskaya, Ol’ga Aleksandrovna 10 Repin, Sergeĭ Igorevich 7 Shilkin, T. N. 7 Ural’tseva, Nina Nikolaevna 6 Constantin, Peter 4 Escauriaza Zubiria, Luis 4 Rodrigues, José Francisco 3 Barker, Tobias 3 Denisova, Irina Vlad. 3 Friedlander, Susan Jean 3 Frolova, E. V. 3 Neittaanmäki, Pekka J. 3 Rivkind, Valeriĭ Yakovlevich 3 Titi, Edriss Saleh 2 Burczak, Jan 2 Frehse, Jens 2 Jia, Hao 2 Pileckas, Konstantin 2 Zajączkowski, Wojciech M. 1 Abe, Ken 1 Acerbi, Emilio 1 Arkhipova, Arina Alekseevna 1 Beirão da Veiga, Hugo 1 Bildhauer, Michael 1 Bizhanova, Galina I. 1 Cabré, Xavier 1 Carlen, Eric Anders 1 Chang, Sun-Yung Alice 1 Debussche, Arnaud 1 Döring, Andreas 1 Figalli, Alessio 1 Filonov, Nikolai D. 1 Flandoli, Franco 1 Galdi, Giovanni Paolo 1 Geĭderikh, L. D. 1 Gunzburger, Max Donald 1 Hounkpe, Francis 1 Kalantarov, Varga K. 1 Koch, Gabriel S. 1 Lax, Peter David 1 Lee, Hyung-Chun 1 Mahalov, Alex 1 Mazzucato, Anna L. 1 Mingione, Giuseppe 1 Nadirashvili, Nikolai S. 1 Nazarov, Alexander I. 1 Nicolaenko, Basil 1 Nirenberg, Louis 1 Ożański, Wojciech Sławomir 1 Palmer, Tim N. 1 Pukhnachov, Vladislav Vasil’evich 1 Růžička, Michael 1 Schonbek, Maria Elena 1 Silvestre, Luis E. 1 Solonnikov, Vsevolod Alekseevich 1 Sormani, Christina 1 Synge Morawetz, Cathleen 1 Troitskij, V. A. 1 Uratseva, N. N. 1 Urbano, José Miguel 1 Vishik, Marko Iosifovich 1 Wang, Mu-Tao 1 Wang, Wendong 1 Yau, Shing-Tung 1 Zelik, Sergey V. 1 Zhou, Daoguo 1 Zlatoš, Andrej all top 5 Serials 38 Journal of Mathematical Sciences (New York) 14 St. Petersburg Mathematical Journal 11 Zapiski Nauchnykh Seminarov POMI 9 Journal of Mathematical Fluid Mechanics 5 Russian Mathematical Surveys 4 Journal of Applied Mathematics and Mechanics 4 Doklady Mathematics 4 Oberwolfach Reports 3 Algebra i Analiz 2 Archive for Rational Mechanics and Analysis 2 Nonlinearity 2 Differential Equations 2 Mathematische Annalen 2 Communications in Partial Differential Equations 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Soviet Physics. Doklady 2 U.S.S.R. Computational Mathematics and Mathematical Physics 2 Notices of the American Mathematical Society 2 Izvestiya: Mathematics 2 Discrete and Continuous Dynamical Systems 2 Problemy Matematicheskogo Analiza 2 Lecture Notes in Mathematics 2 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 International Journal of Engineering Science 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Mathematics of Computation 1 Acta Mathematica 1 Applied Mathematics and Optimization 1 Journal of Differential Equations 1 Journal of Soviet Mathematics 1 Manuscripta Mathematica 1 Mathematics of the USSR. Izvestiya 1 Mathematische Zeitschrift 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Soviet Mathematics. Doklady 1 Soviet Mathematics 1 Optimal Control Applications & Methods 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Leningrad Mathematical Journal 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 SIAM Journal on Mathematical Analysis 1 Advances in Mathematical Sciences and Applications 1 Calculus of Variations and Partial Differential Equations 1 Annales Universitatis Saraviensis. Series Mathematicae 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Convex Analysis 1 Italian Journal of Pure and Applied Mathematics 1 Communications in Contemporary Mathematics 1 Communications on Pure and Applied Analysis 1 Proceedings of the Steklov Institute of Mathematics 1 Analysis and Mathematical Physics 1 Progress in Nonlinear Differential Equations and Their Applications 1 Cambridge Mathematical Library all top 5 Fields 121 Partial differential equations (35-XX) 86 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) 8 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 128 Publications have been cited 2,362 times in 1,409 Documents Cited by ▼ Year ▼ \(L_{3,\infty}\)-solutions of Navier-Stokes equations and backward uniqueness. Zbl 1064.35134 Escauriaza, L.; Serëgin, G. A.; Shverak, V. 346 2003 Liouville theorems for the Navier-Stokes equations and applications. Zbl 1208.35104 Koch, Gabriel; Nadirashvili, Nikolai; Seregin, Gregory A.; Šverák, Vladimir 178 2009 On partial regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations. Zbl 0954.35129 Ladyzhenskaya, O. A.; Seregin, G. A. 145 1999 Variational methods for problems from plasticity theory and for generalized Newtonian fluids. Zbl 0964.76003 Fuchs, Martin; Seregin, Gregory 126 2000 Backward uniqueness for parabolic equations. Zbl 1039.35052 Escauriaza, L.; Seregin, G.; Šverák, V. 117 2003 Regularity results for parabolic systems related to a class of non-Newtonian fluids. Zbl 1052.76004 Acerbi, E.; Mingione, G.; Seregin, G. A. 114 2004 Global existence of weak solutions for viscous incompressible flows around a moving rigid body in three dimensions. Zbl 0970.35096 Gunzburger, Max D.; Lee, Hyung-Chun; Seregin, Gregory A. 87 2000 Liouville type theorem for stationary Navier-Stokes equations. Zbl 1350.35047 Seregin, G. 75 2016 On divergence-free drifts. Zbl 1232.35027 Seregin, Gregory; Silvestre, Luis; Šverák, Vladimír; Zlatoš, Andrej 73 2012 On type I singularities of the local axi-symmetric solutions of the Navier-Stokes equations. Zbl 1180.35002 Seregin, G.; Šverák, V. 60 2009 Local regularity of suitable weak solutions to the Navier-Stokes equations near the boundary. Zbl 0997.35044 Seregin, G. A. 57 2002 Lecture notes on regularity theory for the Navier-Stokes equations. Zbl 1314.35001 Seregin, Gregory 56 2015 A certain necessary condition of potential blow up for Navier-Stokes equations. Zbl 1253.35105 Seregin, G. 51 2012 Navier-Stokes equations with lower bounds on the pressure. Zbl 1002.35094 Seregin, G.; Šverák, V. 46 2002 A regularity theory for variational integrals with \(L\ln L\)-growth. Zbl 0929.49022 Fuchs, Martin; Seregin, Gregory 39 1998 Remarks on Liouville type theorems for steady-state Navier-Stokes equations. Zbl 1412.35227 Seregin, G. 35 2019 Sufficient conditions on Liouville type theorems for the 3D steady Navier-Stokes equations. Zbl 1434.35063 Seregin, G.; Wang, W. 35 2020 Weak solutions to the Cauchy problem for the Navier-Stokes equations satisfying the local energy inequality. Zbl 1361.35130 Kikuchi, N.; Seregin, G. 34 2007 On smoothness of \(L_{3,\infty}\)-solutions to the Navier-Stokes equations up to boundary. Zbl 1072.35146 Seregin, G. 29 2005 Boundary partial regularity for the Navier-Stokes equations. Zbl 1095.35031 Seregin, G. A.; Shilkin, T. N.; Solonnikov, V. A. 25 2004 Variational methods for fluids of Prandtl-Eyring type and plastic materials with logarithmic hardening. Zbl 0928.76087 Fuchs, Martin; Seregin, Gregory 24 1999 Local regularity for suitable weak solutions of the Navier-Stokes equations. Zbl 1139.76018 Seregin, G. A. 23 2007 Global regularity of solutions of coupled Navier-Stokes equations and nonlinear Fokker Planck equations. Zbl 1191.35084 Constantin, Peter; Seregin, Gregory 21 2010 Some estimates near the boundary for solutions to the nonstationary linearized Navier-Stokes equations. Zbl 1037.35059 Seregin, G. A. 21 2000 Backward uniqueness for the heat operator in a half-space. Zbl 1053.35052 Escauriaza, L.; Seregin, G.; Šverák, V. 21 2004 On global weak solutions to the Cauchy problem for the Navier-Stokes equations with large \(L_3\)-initial data. Zbl 1361.35134 Seregin, G.; Šverák, V. 21 2017 Regularity of solutions to variational problems of the deformation theory of plasticity with logarithmic hardening. Zbl 0973.74033 Seregin, G. A.; Frehse, J. 20 1998 On the number of singular points of weak solutions to the Navier-Stokes equations. Zbl 1030.35133 Seregin, G. A. 20 2001 A sufficient condition of regularity for axially symmetric solutions to the Navier-Stokes equations. Zbl 1169.35366 Seregin, G.; Zajaczkowski, W. 16 2007 Regularity results for the quasi-static Bingham variational inequality in dimensions two and three. Zbl 0899.76044 Fuchs, Martin; Seregin, Gregory 14 1998 The real butterfly effect. Zbl 1322.34056 Palmer, T. N.; Döring, A.; Seregin, G. 14 2014 A necessary condition of potential blowup for the Navier-Stokes system in half-space. Zbl 1383.35138 Barker, T.; Seregin, G. 14 2017 On stability of weak Navier-Stokes solutions with large \(L^{3,\infty}\) initial data. Zbl 1405.35077 Barker, Tobias; Seregin, G.; Šverák, V. 13 2018 Hölder continuity for weak extremals of some two-dimensional variational problems related to nonlinear elasticity. Zbl 0929.49021 Fuchs, Martin; Seregin, Gregori 12 1997 Liouville-type theorems for the Navier-Stokes equations. Zbl 1416.35191 Seregin, G. A.; Shilkin, T. N. 12 2018 Differentiability of extremals of variational problems in the mechanics of elastic perfectly plastic media. Zbl 0655.73017 Seregin, G. A. 11 1987 Interior regularity for solutions to the modified Navier-Stokes equations. Zbl 0961.35106 Seregin, G. A. 11 1999 On a bounded shear flow in a half-space. Zbl 1308.35175 Seregin, G.; Sverak, V. 11 2011 Liouville theorems in unbounded domains for the time-dependent Stokes system. Zbl 1278.35177 Jia, Hao; Seregin, Gregory; Šverák, Vladimír 11 2012 A sufficient condition of local regularity for the Navier-Stokes equations. Zbl 1137.35056 Zajaczkowski, W.; Seregin, G. A. 11 2006 Navier-Stokes equations: almost \(L_{3,\infty}\)-case. Zbl 1128.35085 Seregin, G. 11 2007 Two-dimensional variational problems of the theory of plasticity. Zbl 0881.73039 Seregin, G. A. 11 1996 Liouville theorem for 2D Navier-Stokes equations in a half space. Zbl 1331.35067 Seregin, G. 11 2015 Some remarks on non-Newtonian fluids including nonconvex perturbations of the Bingham and Powell-Eyring model for viscoplastic fluids. Zbl 0882.76007 Fuchs, Martin; Seregin, Gregory 10 1997 Existence of a weak solution of the minimax problem arising in Coulomb-Mohr plasticity. Zbl 0890.73079 Repin, S.; Seregin, G. 10 1995 Hölder continuity of solutions of 2D Navier-Stokes equations with singular forcing. Zbl 1223.35099 Constantin, Peter; Seregin, Gregory 10 2010 A note on local boundary regularity for the Stokes system. Zbl 1288.35376 Seregin, G. A. 10 2010 Partial regularity of the deformation gradient for some model problems in nonlinear two-dimensional elasticity. Zbl 0827.73010 Fuchs, M.; Seregin, G. 9 1994 Estimates of suitable weak solutions to the Navier-Stokes equations in critical Morrey spaces. Zbl 1127.35042 Seregin, G. A. 9 2006 A note on necessary conditions for blow-up of energy solutions to the Navier-Stokes equations. Zbl 1247.35096 Seregin, Gregory 9 2011 On backward uniqueness for parabolic equations. Zbl 1068.35090 Escauriaza, L.; Seregin, G.; Šverák, V. 9 2002 Differentiability properties of weak solutions of the Navier-Stokes equations. Zbl 1039.35080 Seregin, G. A. 9 2003 Differentiability properties of weak solutions of certain variational problems in the theory of perfect elastoplastic plates. Zbl 0779.73086 Seregin, G. A. 8 1993 Necessary conditions of a potential blow-up for Navier-Stokes equations. Zbl 1304.35504 Seregin, G. A. 8 2011 The local regularity theory for the Navier-Stokes equations near the boundary. Zbl 1311.35190 Seregin, G. A.; Shilkin, T. N. 8 2014 The Navier–Stokes equations and backward uniqueness. Zbl 1024.76011 Seregin, Gregory; Šverák, Vladimir 8 2002 Ancient solutions to Navier-Stokes equations in half space. Zbl 1326.35233 Barker, T.; Seregin, G. 8 2015 Axisymmetric flows in the exterior of a cylinder. Zbl 1446.35092 Abe, K.; Seregin, G. 8 2020 A Liouville theorem for the Stokes system in a half-space. Zbl 1300.35094 Jia, H.; Seregin, G.; Sverak, V. 8 2013 Rescalings at possible singularities of Navier-Stokes equations in half-space. Zbl 1319.35165 Seregin, G.; Šverák, V. 8 2014 Local regularity of axisymmetric solutions to the Navier-Stokes equations. Zbl 1450.35097 Seregin, G. 8 2020 Error estimates for stresses in the finite element analysis of the two-dimensional elasto-plastic problems. Zbl 0899.73532 Repin, S.; Seregin, G. 7 1995 Regularity for minimizers of some variational problems in plasticity theory. Zbl 0904.49025 Seregin, G. A.; Shilkin, T. N. 7 1997 Remarks on regularity up to the boundary for solutions to variational problems in plasticity theory. Zbl 0954.74508 Seregin, G. A. 7 1996 New version of the Ladyzhenskaya-Prodi-Serrin condition. Zbl 1129.35060 Seregin, G. A. 7 2007 On semigroups generated by initial-boundary value problems describing two-dimensional visco-plastic flows. Zbl 0846.35068 Ladyzhenskaya, O.; Serëgin, G. 6 1995 Continuity for the strain velocity tensor in two-dimensional variational problems from the theory of the Bingham fluid. Zbl 0953.49002 Seregin, Gregory 6 1997 On differentiability properties of the stress tensor in the Coulomb-Mohr theory of plasticity. Zbl 0838.73029 Seregin, G. A. 6 1992 On smoothness of suitable weak solutions to the Navier-Stokes equations. Zbl 1148.35344 Seregin, G.; Šverák, V. 6 2005 Remarks on the regularity of weak solutions to the Navier-Stokes equations near the boundary. Zbl 1083.35098 Seregin, G. A. 6 2003 On the regularity of the minimizers of some variational problems of the plasticity theory. Zbl 0791.73084 Seregin, G. A. 5 1992 A local estimate of the type of the Caccioppoli inequality for extremals of the Hencky variational plasticity problems. Zbl 0769.73098 Serëgin, G. A. 5 1988 On the regularity of weak solutions of variational problems in the theory of plasticity. Zbl 0704.73104 Seregin, G. A. 5 1990 Regularity of solutions of two-dimensional equations in fluid dynamics models with nonlinear viscosity. Zbl 1060.76005 Ladyzhenskaya, O. A.; Seregin, G. A. 5 1999 A slightly supercritical condition of regularity of axisymmetric solutions to the Navier-Stokes equations. Zbl 1513.76060 Seregin, G. 5 2022 A note on local regularity of axisymmetric solutions to the Navier-Stokes equations. Zbl 1518.76014 Seregin, G. 5 2022 Regularity of solutions to the Navier-Stokes equations in \(\dot{B}_{\infty, \infty}^{-1} \). Zbl 1448.35370 Seregin, G.; Zhou, D. 5 2020 On a method of approximation of initial boundary value problems for the Navier-Stokes equations. Zbl 0830.76019 Ladyzhenskaya, O. A.; Seregin, G. A. 4 1992 Variational methods for problems from plasticity theory and for generalized Newtonian fluids. Zbl 0943.74076 Fuchs, Martin; Seregin, Gregory 4 1999 On differential properties of extremals of variational problems arising in the theory of plasticity. Zbl 0709.73021 Seregin, G. A. 4 1990 On a method of approximate solution of initial-boundary value problems for the Navier-Stokes equations. Zbl 0773.76024 Ladyzhenskaya, O. A.; Seregin, G. A. 4 1992 On Type I blowups of suitable weak solutions to the Navier-Stokes equations near boundary. Zbl 1508.35044 Seregin, G. 4 2022 Variational-difference schemes for problems of mechanics of ideally elasto-plastic media. Zbl 0566.73031 Serëgin, G. A. 4 1985 A global nonlinear evolution problem for generalized Newtonian fluids: Local initial regularity of the strong solution. Zbl 1122.76008 Fuchs, M.; Seregin, G. 4 2007 Leray-Hopf solutions to Navier-Stokes equations with weakly converging initial data. Zbl 1296.35124 Seregin, Gregory 4 2012 Differential properties of solutions of variational problems for functionals of linear growth. Zbl 0773.49020 Serëgin, G. A. 3 1990 The uniqueness of solutions of some variational problems of the theory of phase equilibrium in solid bodies. Zbl 0863.73079 Seregin, G. A. 3 1995 Full regularity for a class of degenerated parabolic systems in two spatial variables. Zbl 0931.35029 Frehse, J.; Seregin, G. A. 3 1999 Partial regularity of the deformation gradient for some model problems in nonlinear two-dimensional elasticity. Zbl 0839.73009 Fuchs, M.; Seregin, G. 3 1994 On the regularity of minimizers of some variational problems of the theory of plasticity. Zbl 0778.73085 Seregin, G. A. 3 1992 On differential properties of extremals of variational problems of the mechanics of viscoplastic media. Zbl 0734.73096 Seregin, G. A. 3 1991 Differential properties of solutions of variational problems for functionals of linear growth. Zbl 0791.49040 Serëgin, G. A. 3 1990 Variation-difference schemes for problems in the mechanics of ideally elastoplastic media. Zbl 0584.73039 Serëgin, G. A. 3 1985 Some remarks on the mollification of piecewise-linear homeomorphisms. Zbl 0927.49001 Seregin, G. A.; Shilkin, T. N. 3 1995 Olga Alexandrovna Ladyzhenskaya (1922–2004). Zbl 1168.01327 Friedlander, Susan; Lax, Peter; Morawetz, Cathleen; Nirenberg, Louis; Seregin, Gregory; Ural’tseva, Nina; Vishik, Mark 3 2004 Time decay for solutions to the Stokes equations with drift. Zbl 1390.35237 Schonbek, M.; Seregin, G. 3 2018 A note on weak solutions to the Navier-Stokes equations that are locally in \(L_\infty (L^{3,\infty })\). Zbl 1464.35192 Seregin, G. 3 2021 On regularity properties of a surface growth model. Zbl 1479.35166 Burczak, Jan; Ożański, Wojciech S.; Seregin, Gregory 3 2021 On a global stability of the two-dimensional visco-plastic flows. Zbl 0790.73027 Ladyzhenskaya, O.; Seregin, G. 2 1993 The regularity properties of solutions of variational problems in the theory of phase transitions in elastic solids. Zbl 0947.74019 Seregin, G. A. 2 1995 A slightly supercritical condition of regularity of axisymmetric solutions to the Navier-Stokes equations. Zbl 1513.76060 Seregin, G. 5 2022 A note on local regularity of axisymmetric solutions to the Navier-Stokes equations. Zbl 1518.76014 Seregin, G. 5 2022 On Type I blowups of suitable weak solutions to the Navier-Stokes equations near boundary. Zbl 1508.35044 Seregin, G. 4 2022 Attractors for semigroups and evolution equations. With an introduction by Gregory A. Seregin, Varga K. Kalantarov and Sergey V. Zelik. Reprint of the 1991 edition with a new introduction. Zbl 1496.47001 Ladyzhenskaya, Olga A. 2 2022 A note on weak solutions to the Navier-Stokes equations that are locally in \(L_\infty (L^{3,\infty })\). Zbl 1464.35192 Seregin, G. 3 2021 On regularity properties of a surface growth model. Zbl 1479.35166 Burczak, Jan; Ożański, Wojciech S.; Seregin, Gregory 3 2021 Sufficient conditions on Liouville type theorems for the 3D steady Navier-Stokes equations. Zbl 1434.35063 Seregin, G.; Wang, W. 35 2020 Axisymmetric flows in the exterior of a cylinder. Zbl 1446.35092 Abe, K.; Seregin, G. 8 2020 Local regularity of axisymmetric solutions to the Navier-Stokes equations. Zbl 1450.35097 Seregin, G. 8 2020 Regularity of solutions to the Navier-Stokes equations in \(\dot{B}_{\infty, \infty}^{-1} \). Zbl 1448.35370 Seregin, G.; Zhou, D. 5 2020 Remarks on Liouville type theorems for steady-state Navier-Stokes equations. Zbl 1412.35227 Seregin, G. 35 2019 On stability of weak Navier-Stokes solutions with large \(L^{3,\infty}\) initial data. Zbl 1405.35077 Barker, Tobias; Seregin, G.; Šverák, V. 13 2018 Liouville-type theorems for the Navier-Stokes equations. Zbl 1416.35191 Seregin, G. A.; Shilkin, T. N. 12 2018 Time decay for solutions to the Stokes equations with drift. Zbl 1390.35237 Schonbek, M.; Seregin, G. 3 2018 On global weak solutions to the Cauchy problem for the Navier-Stokes equations with large \(L_3\)-initial data. Zbl 1361.35134 Seregin, G.; Šverák, V. 21 2017 A necessary condition of potential blowup for the Navier-Stokes system in half-space. Zbl 1383.35138 Barker, T.; Seregin, G. 14 2017 Remark on Wolf’s condition for boundary regularity of the Navier-Stokes equations. Zbl 1373.35067 Seregin, G. 2 2017 Liouville type theorem for stationary Navier-Stokes equations. Zbl 1350.35047 Seregin, G. 75 2016 Lecture notes on regularity theory for the Navier-Stokes equations. Zbl 1314.35001 Seregin, Gregory 56 2015 Liouville theorem for 2D Navier-Stokes equations in a half space. Zbl 1331.35067 Seregin, G. 11 2015 Ancient solutions to Navier-Stokes equations in half space. Zbl 1326.35233 Barker, T.; Seregin, G. 8 2015 The real butterfly effect. Zbl 1322.34056 Palmer, T. N.; Döring, A.; Seregin, G. 14 2014 The local regularity theory for the Navier-Stokes equations near the boundary. Zbl 1311.35190 Seregin, G. A.; Shilkin, T. N. 8 2014 Rescalings at possible singularities of Navier-Stokes equations in half-space. Zbl 1319.35165 Seregin, G.; Šverák, V. 8 2014 A Liouville theorem for the Stokes system in a half-space. Zbl 1300.35094 Jia, H.; Seregin, G.; Sverak, V. 8 2013 Selected topics of local regularity theory for Navier-Stokes equations. Zbl 1301.35094 Seregin, Gregory 2 2013 On divergence-free drifts. Zbl 1232.35027 Seregin, Gregory; Silvestre, Luis; Šverák, Vladimír; Zlatoš, Andrej 73 2012 A certain necessary condition of potential blow up for Navier-Stokes equations. Zbl 1253.35105 Seregin, G. 51 2012 Liouville theorems in unbounded domains for the time-dependent Stokes system. Zbl 1278.35177 Jia, Hao; Seregin, Gregory; Šverák, Vladimír 11 2012 Leray-Hopf solutions to Navier-Stokes equations with weakly converging initial data. Zbl 1296.35124 Seregin, Gregory 4 2012 A note on bounded scale-invariant quantities for the Navier-Stokes equations. Zbl 1261.35112 Seregin, G. 2 2012 On a bounded shear flow in a half-space. Zbl 1308.35175 Seregin, G.; Sverak, V. 11 2011 A note on necessary conditions for blow-up of energy solutions to the Navier-Stokes equations. Zbl 1247.35096 Seregin, Gregory 9 2011 Necessary conditions of a potential blow-up for Navier-Stokes equations. Zbl 1304.35504 Seregin, G. A. 8 2011 Weak solutions to the Navier-Stokes equations with bounded scale-invariant quantities. Zbl 1229.35191 Seregin, Gregory A. 1 2011 Global regularity of solutions of coupled Navier-Stokes equations and nonlinear Fokker Planck equations. Zbl 1191.35084 Constantin, Peter; Seregin, Gregory 21 2010 Hölder continuity of solutions of 2D Navier-Stokes equations with singular forcing. Zbl 1223.35099 Constantin, Peter; Seregin, Gregory 10 2010 A note on local boundary regularity for the Stokes system. Zbl 1288.35376 Seregin, G. A. 10 2010 Liouville theorems for the Navier-Stokes equations and applications. Zbl 1208.35104 Koch, Gabriel; Nadirashvili, Nikolai; Seregin, Gregory A.; Šverák, Vladimir 178 2009 On type I singularities of the local axi-symmetric solutions of the Navier-Stokes equations. Zbl 1180.35002 Seregin, G.; Šverák, V. 60 2009 Reverse Hölder inequality for a class of suitable weak solutions to the Navier-Stokes equations. Zbl 1315.35146 Seregin, G. A. 2 2009 To the 75th birthday of Vsevolod Alekseevich Solonnikov. Zbl 1175.01073 Denisova, I. V.; Pileckas, K. I.; Repin, S. I.; Seregin, G. A.; Uraltseva, N. N.; Frolova, E. V. 1 2009 New sufficient conditions of local regularity for solutions to the Navier-Stokes equations. Zbl 1162.76325 Mahalov, A.; Nicolaenko, B.; Seregin, G. 2 2008 Weak solutions to the Cauchy problem for the Navier-Stokes equations satisfying the local energy inequality. Zbl 1361.35130 Kikuchi, N.; Seregin, G. 34 2007 Local regularity for suitable weak solutions of the Navier-Stokes equations. Zbl 1139.76018 Seregin, G. A. 23 2007 A sufficient condition of regularity for axially symmetric solutions to the Navier-Stokes equations. Zbl 1169.35366 Seregin, G.; Zajaczkowski, W. 16 2007 Navier-Stokes equations: almost \(L_{3,\infty}\)-case. Zbl 1128.35085 Seregin, G. 11 2007 New version of the Ladyzhenskaya-Prodi-Serrin condition. Zbl 1129.35060 Seregin, G. A. 7 2007 A global nonlinear evolution problem for generalized Newtonian fluids: Local initial regularity of the strong solution. Zbl 1122.76008 Fuchs, M.; Seregin, G. 4 2007 A sufficient condition of local regularity for the Navier-Stokes equations. Zbl 1137.35056 Zajaczkowski, W.; Seregin, G. A. 11 2006 Estimates of suitable weak solutions to the Navier-Stokes equations in critical Morrey spaces. Zbl 1127.35042 Seregin, G. A. 9 2006 On smoothness of \(L_{3,\infty}\)-solutions to the Navier-Stokes equations up to boundary. Zbl 1072.35146 Seregin, G. 29 2005 On smoothness of suitable weak solutions to the Navier-Stokes equations. Zbl 1148.35344 Seregin, G.; Šverák, V. 6 2005 Trends in partial differential equations of mathematical physics. Selected papers of the international conference held on the occasion of the 70th birthday of V. A. Solonnikov, Óbidos, Portugal, June 7–10, 2003. Zbl 1062.35005 1 2005 Boundary value problems of mathematical physics and related problems of function theory. Part 34. Transl. from the Russian. Zbl 1078.34501 1 2005 Regularity results for parabolic systems related to a class of non-Newtonian fluids. Zbl 1052.76004 Acerbi, E.; Mingione, G.; Seregin, G. A. 114 2004 Boundary partial regularity for the Navier-Stokes equations. Zbl 1095.35031 Seregin, G. A.; Shilkin, T. N.; Solonnikov, V. A. 25 2004 Backward uniqueness for the heat operator in a half-space. Zbl 1053.35052 Escauriaza, L.; Seregin, G.; Šverák, V. 21 2004 Olga Alexandrovna Ladyzhenskaya (1922–2004). Zbl 1168.01327 Friedlander, Susan; Lax, Peter; Morawetz, Cathleen; Nirenberg, Louis; Seregin, Gregory; Ural’tseva, Nina; Vishik, Mark 3 2004 \(L_{3,\infty}\)-solutions of Navier-Stokes equations and backward uniqueness. Zbl 1064.35134 Escauriaza, L.; Serëgin, G. A.; Shverak, V. 346 2003 Backward uniqueness for parabolic equations. Zbl 1039.35052 Escauriaza, L.; Seregin, G.; Šverák, V. 117 2003 Differentiability properties of weak solutions of the Navier-Stokes equations. Zbl 1039.35080 Seregin, G. A. 9 2003 Remarks on the regularity of weak solutions to the Navier-Stokes equations near the boundary. Zbl 1083.35098 Seregin, G. A. 6 2003 Ol’ga Aleksandrovna Ladyzhenskaya (on the occasion of her eightieth birthday). Zbl 1050.01524 Serëgin, G. A.; Ural’tseva, N. N. 1 2003 Local regularity of suitable weak solutions to the Navier-Stokes equations near the boundary. Zbl 0997.35044 Seregin, G. A. 57 2002 Navier-Stokes equations with lower bounds on the pressure. Zbl 1002.35094 Seregin, G.; Šverák, V. 46 2002 On backward uniqueness for parabolic equations. Zbl 1068.35090 Escauriaza, L.; Seregin, G.; Šverák, V. 9 2002 The Navier–Stokes equations and backward uniqueness. Zbl 1024.76011 Seregin, Gregory; Šverák, Vladimir 8 2002 On the number of singular points of weak solutions to the Navier-Stokes equations. Zbl 1030.35133 Seregin, G. A. 20 2001 Local regularity of solutions of variational problems for the equilibrium configuration of an incompressible, multiphase elastic body. Zbl 0984.49021 Bildhauer, Michael; Fuchs, Martin; Seregin, Gregory 1 2001 Variational methods for problems from plasticity theory and for generalized Newtonian fluids. Zbl 0964.76003 Fuchs, Martin; Seregin, Gregory 126 2000 Global existence of weak solutions for viscous incompressible flows around a moving rigid body in three dimensions. Zbl 0970.35096 Gunzburger, Max D.; Lee, Hyung-Chun; Seregin, Gregory A. 87 2000 Some estimates near the boundary for solutions to the nonstationary linearized Navier-Stokes equations. Zbl 1037.35059 Seregin, G. A. 21 2000 A two-dimensional variational model for the equilibrium configuration of an incompressible, elastic body with a three-well elastic potential. Zbl 1032.74028 Fuchs, Martin; Seregin, Gregory 2 2000 Coercive estimates for solutions of linearizations of modified Navier-Stokes equations. Zbl 1047.35111 Ladyzhenskaya, O. A.; Seregin, G. A. 2 2000 On partial regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations. Zbl 0954.35129 Ladyzhenskaya, O. A.; Seregin, G. A. 145 1999 Variational methods for fluids of Prandtl-Eyring type and plastic materials with logarithmic hardening. Zbl 0928.76087 Fuchs, Martin; Seregin, Gregory 24 1999 Interior regularity for solutions to the modified Navier-Stokes equations. Zbl 0961.35106 Seregin, G. A. 11 1999 Regularity of solutions of two-dimensional equations in fluid dynamics models with nonlinear viscosity. Zbl 1060.76005 Ladyzhenskaya, O. A.; Seregin, G. A. 5 1999 Variational methods for problems from plasticity theory and for generalized Newtonian fluids. Zbl 0943.74076 Fuchs, Martin; Seregin, Gregory 4 1999 Full regularity for a class of degenerated parabolic systems in two spatial variables. Zbl 0931.35029 Frehse, J.; Seregin, G. A. 3 1999 \(J^1_p\)-quasiconvexity and variational problems on sets of solenoidal vector fields. Zbl 0938.74080 Seregin, G. A. 2 1999 A regularity theory for variational integrals with \(L\ln L\)-growth. Zbl 0929.49022 Fuchs, Martin; Seregin, Gregory 39 1998 Regularity of solutions to variational problems of the deformation theory of plasticity with logarithmic hardening. Zbl 0973.74033 Seregin, G. A.; Frehse, J. 20 1998 Regularity results for the quasi-static Bingham variational inequality in dimensions two and three. Zbl 0899.76044 Fuchs, Martin; Seregin, Gregory 14 1998 Smoothness of solutions of equations describing generalized Newtonian flows and estimates for the dimensions of their attractors. Zbl 0920.35113 Ladyzhenskaya, O. A.; Seregin, G. A. 2 1998 Variational problem on the phase equilibrium of an elastic body. Zbl 0923.73080 Seregin, G. A. 2 1998 Hölder continuity for weak extremals of some two-dimensional variational problems related to nonlinear elasticity. Zbl 0929.49021 Fuchs, Martin; Seregin, Gregori 12 1997 Some remarks on non-Newtonian fluids including nonconvex perturbations of the Bingham and Powell-Eyring model for viscoplastic fluids. Zbl 0882.76007 Fuchs, Martin; Seregin, Gregory 10 1997 Regularity for minimizers of some variational problems in plasticity theory. Zbl 0904.49025 Seregin, G. A.; Shilkin, T. N. 7 1997 Continuity for the strain velocity tensor in two-dimensional variational problems from the theory of the Bingham fluid. Zbl 0953.49002 Seregin, Gregory 6 1997 Flow of the two-dimensional generalized Newtonian fluid. Zbl 0891.35118 Seregin, G. A. 2 1997 Two-dimensional variational problems of the theory of plasticity. Zbl 0881.73039 Seregin, G. A. 11 1996 Remarks on regularity up to the boundary for solutions to variational problems in plasticity theory. Zbl 0954.74508 Seregin, G. A. 7 1996 Existence of a weak solution of the minimax problem arising in Coulomb-Mohr plasticity. Zbl 0890.73079 Repin, S.; Seregin, G. 10 1995 Error estimates for stresses in the finite element analysis of the two-dimensional elasto-plastic problems. Zbl 0899.73532 Repin, S.; Seregin, G. 7 1995 On semigroups generated by initial-boundary value problems describing two-dimensional visco-plastic flows. Zbl 0846.35068 Ladyzhenskaya, O.; Serëgin, G. 6 1995 The uniqueness of solutions of some variational problems of the theory of phase equilibrium in solid bodies. Zbl 0863.73079 Seregin, G. A. 3 1995 Some remarks on the mollification of piecewise-linear homeomorphisms. Zbl 0927.49001 Seregin, G. A.; Shilkin, T. N. 3 1995 The regularity properties of solutions of variational problems in the theory of phase transitions in elastic solids. Zbl 0947.74019 Seregin, G. A. 2 1995 ...and 28 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,182 Authors 41 Seregin, Gregory A. 37 Fuchs, Martin 29 Chae, Dongho 25 Zhang, Zujin 21 Barker, Tobias 20 Kang, Kyungkeun 20 Skalák, Zdeněk 20 Wang, Yanqing 19 Bildhauer, Michael 19 Wang, Wendong 18 Liu, Qiao 18 Repin, Sergeĭ Igorevich 18 Takahashi, Takéo 17 Yang, Minsuk 16 Nečasová, Šárka 16 Šverák, Vladimír 16 Tsai, Tai-Peng 16 Wolf, Jörg 16 Wu, Fan 15 Beirão da Veiga, Hugo 15 Gmeineder, Franz 15 Mingione, Giuseppe 15 Wu, Gang 14 Pan, Xinghong 14 Prange, Christophe 13 Breit, Dominic 13 Neustupa, Jiří 12 Antontsev, Stanislav Nikolaevich 12 Guo, Zhengguang 11 Albritton, Dallas 11 Bradshaw, Zachary 11 Zhang, Zhifei 10 Dong, Hongjie 10 Kukavica, Igor 10 Zhou, Daoguo 10 Zhou, Yong 9 Abe, Ken 9 Bögelein, Verena 9 Carstensen, Carsten 9 Choe, Hi Jun 9 Duzaar, Frank 9 Lei, Zhen 9 Yang, Jiaqi 9 Zhang, Qi-Shuhuason 8 Berselli, Luigi Carlo 8 Burczak, Jan 8 Granucci, Tiziano 8 Hillairet, Matthieu 8 Kim, Jaemyoung 8 Leonetti, Francesco 8 Robinson, James Cooper 8 Růžička, Michael 8 Zhang, Ting 7 Bae, Hyeong-Ohk 7 Chamorro, Diego 7 Chen, Hui 7 Diening, Lars 7 Gao, Hongya 7 Han, Pigong 7 Haslinger, Jaroslav 7 Jarrín, Oscar 7 Kozono, Hideo 7 Kučera, Petr 7 Lemarié-Rieusset, Pierre Gilles 7 Ożański, Wojciech Sławomir 7 Sin, Cholmin 7 Sysala, Stanislav 7 Terasawa, Yutaka 7 Vicol, Vlad C. 7 Wakasugi, Yuta 6 Bulíček, Miroslav 6 Ding, Huiting 6 Fan, Jishan 6 Farwig, Reinhard 6 Giga, Yoshikazu 6 Jin, Bumja 6 Li, Zijin 6 Liu, Pan 6 Miura, Hideyuki 6 Mizoguchi, Noriko 6 Oskolkov, Anatolii Petrovich 6 Qian, Chenyin 6 Roy, Arnab 6 Shmarev, Sergey I. 6 Tan, Zhong 6 Vasseur, Alexis F. 6 Wang, Changyou 6 Yamazaki, Kazuo 6 Yao, Zhengan 6 Yu, Xinwei 6 Zhang, Ping 6 Zhao, Jihong 5 Cheskidov, Alexey 5 Cianchi, Andrea 5 Crispo, Francesca 5 De los Reyes, Juan Carlos 5 Escauriaza Zubiria, Luis 5 Fernández-Dalgo, Pedro Gabriel 5 Friedlander, Susan Jean 5 Fu, Yongqiang ...and 1,082 more Authors all top 5 Cited in 233 Serials 94 Journal of Differential Equations 78 Journal of Mathematical Fluid Mechanics 73 Journal of Mathematical Analysis and Applications 64 Archive for Rational Mechanics and Analysis 64 Journal of Mathematical Sciences (New York) 51 Nonlinear Analysis. 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