Edit Profile (opens in new tab) Shvydkoy, Roman V. Co-Author Distance Author ID: shvydkoy.roman-v Published as: Shvydkoy, Roman; Shvydkoy, R.; Shvidkoy, Roman; Shvidkoy, Roman V.; Shvydkoy, R. V.; Shvidkoy, R.; Shvidkoy, R. V. more...less Documents Indexed: 79 Publications since 1997, including 1 Book and 6 Additional arXiv Preprints Co-Authors: 39 Co-Authors with 59 Joint Publications 947 Co-Co-Authors all top 5 Co-Authors 18 single-authored 12 Cheskidov, Alexey 7 Friedlander, Susan Jean 7 Kadets’, Volodymyr Mykhaĭlovych 6 Tadmor, Eitan 5 Lear, Daniel 5 Leslie, Trevor M. 5 Werner, Dirk 4 Latushkin, Yuri 3 Constantin, Peter 3 Reynolds, David N. 3 Sirotkin, Gleb G. 2 Bilik, Dmitriy 2 Imbert, Cyril 2 Lopes Filho, Milton da Costa 2 Luo, Xue 2 Matolcsi, Máté 2 Nussenzveig Lopes, Helena Judith 2 Pavlović, Nataša 2 Vicol, Vlad C. 1 Bátkai, András 1 Bronzi, Anne C. 1 Bulíček, Miroslav 1 Cascales, Bernardo 1 Chae, Dongho 1 Dietert, Helge 1 Drivas, Theodore Dimitrios 1 Fašanga, Eva 1 Feireisl, Eduard 1 Gancedo, Francisco 1 Glatt-Holtz, Nathan E. 1 Jin, Tianling 1 Li, Y. Charles 1 Málek, Josef 1 Shumyatskiy, B. M. 1 Teolis, Trevor 1 Tseytlin, L. M. 1 Vigneron, François 1 Vishik, Misha M. 1 Zheltukhin, K. V. all top 5 Serials 4 Archive for Rational Mechanics and Analysis 4 SIAM Journal on Mathematical Analysis 4 Journal of Mathematical Fluid Mechanics 3 Communications in Mathematical Physics 3 Nonlinearity 3 Communications in Partial Differential Equations 3 Discrete and Continuous Dynamical Systems 2 Journal of Mathematical Analysis and Applications 2 Illinois Journal of Mathematics 2 Journal of Differential Equations 2 Journal of Functional Analysis 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal of Dynamics and Differential Equations 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Matematicheskaya Fizika, Analiz, Geometriya 2 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Mathematical Physics 1 Studia Mathematica 1 Acta Scientiarum Mathematicarum 1 Advances in Mathematics 1 Archiv der Mathematik 1 Indiana University Mathematics Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Physica D 1 Journal of the American Mathematical Society 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Notices of the American Mathematical Society 1 Positivity 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Multiscale Modeling & Simulation 1 Communications in Mathematical Sciences 1 Analysis and Applications (Singapore) 1 Dynamics of Partial Differential Equations 1 Kinetic and Related Models 1 Annals of PDE 1 Transactions of Mathematics and its Applications 1 Nečas Center Series all top 5 Fields 57 Partial differential equations (35-XX) 45 Fluid mechanics (76-XX) 14 Biology and other natural sciences (92-XX) 10 Functional analysis (46-XX) 10 Operator theory (47-XX) 7 Dynamical systems and ergodic theory (37-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 2 Ordinary differential equations (34-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 71 Publications have been cited 1,132 times in 654 Documents Cited by ▼ Year ▼ Energy conservation and Onsager’s conjecture for the Euler equations. Zbl 1138.76020 Cheskidov, A.; Constantin, P.; Friedlander, S.; Shvydkoy, R. 154 2008 Banach spaces with the Daugavet property. Zbl 0938.46016 Kadets, Vladimir M.; Shvidkoy, Roman V.; Sirotkin, Gleb G.; Werner, Dirk 68 2000 Eulerian dynamics with a commutator forcing. Zbl 1379.35252 Shvydkoy, Roman; Tadmor, Eitan 53 2017 The regularity of weak solutions of the 3D Navier-Stokes equations in \(B^{-1}_{\infty,\infty}\). Zbl 1186.35137 Cheskidov, A.; Shvydkoy, R. 50 2010 Convex integration for a class of active scalar equations. Zbl 1231.35177 Shvydkoy, R. 49 2011 Global regularity for 2D Muskat equations with finite slope. Zbl 1365.76304 Constantin, Peter; Gancedo, Francisco; Shvydkoy, Roman; Vicol, Vlad 48 2017 Eulerian dynamics with a commutator forcing. III: Fractional diffusion of order \(0 < \alpha < 1\). Zbl 1398.35157 Shvydkoy, Roman; Tadmor, Eitan 37 2018 Geometric aspects of the Daugavet property. Zbl 0964.46006 Shvydkoy, R. V. 36 2000 Eulerian dynamics with a commutator forcing. II: Flocking. Zbl 1372.35227 Shvydkoy, Roman; Tadmor, Eitan 34 2017 Lectures on the Onsager conjecture. Zbl 1210.76086 Shvydkoy, Roman 28 2010 The energy balance relation for weak solutions of the density-dependent Navier-Stokes equations. Zbl 1383.76080 Leslie, T. M.; Shvydkoy, R. 27 2016 Ill-posedness of the basic equations of fluid dynamics in Besov spaces. Zbl 1423.76085 Cheskidov, A.; Shvydkoy, R. 26 2010 On the energy equality for weak solutions of the 3D Navier-Stokes equations. Zbl 1374.35279 Cheskidov, Alexey; Friedlander, Susan; Shvydkoy, Roman 24 2010 Energy conservation in two-dimensional incompressible ideal fluids. Zbl 1351.35112 Cheskidov, A.; Lopes Filho, M. C.; Nussenzveig Lopes, H. J.; Shvydkoy, R. 23 2016 Euler equations and turbulence: analytical approach to intermittency. Zbl 1295.76010 Cheskidov, A.; Shvydkoy, R. 23 2014 A unified approach to regularity problems for the 3D Navier-Stokes and Euler equations: the use of Kolmogorov’s dissipation range. Zbl 1433.76031 Cheskidov, A.; Shvydkoy, R. 20 2014 Dynamics and analysis of alignment models of collective behavior. Zbl 1471.37001 Shvydkoy, Roman 20 2021 On formation of a locally self-similar collapse in the incompressible Euler equations. Zbl 1285.35070 Chae, Dongho; Shvydkoy, Roman 19 2013 Conditions implying energy equality for weak solutions of the Navier-Stokes equations. Zbl 1387.76102 Leslie, Trevor M.; Shvydkoy, Roman 18 2018 Hyperbolicity of semigroups and Fourier multipliers. Zbl 1036.47026 Latushkin, Yuri; Shvydkoy, Roman 18 2001 Topologically based fractional diffusion and emergent dynamics with short-range interactions. Zbl 1453.92371 Shvydkoy, Roman; Tadmor, Eitan 18 2020 On the energy of inviscid singular flows. Zbl 1184.35256 Shvydkoy, Roman 17 2009 Global existence and stability of nearly aligned flocks. Zbl 1426.92094 Shvydkoy, Roman 17 2019 Narrow operators and rich subspaces of Banach spaces with the Daugavet property. Zbl 0986.46010 Kadets, Vladimir M.; Shvidkoy, Roman V.; Werner, Dirk 15 2001 The essential spectrum of advective equations. Zbl 1121.76027 Shvydkoy, Roman 14 2006 Narrow operators and the Daugavet property for ultraproducts. Zbl 1099.46009 Bilik, Dmitriy; Kadets, Vladimir; Shvidkoy, Roman; Werner, Dirk 14 2005 On the structure of limiting flocks in hydrodynamic Euler alignment models. Zbl 1428.92130 Leslie, Trevor M.; Shvydkoy, Roman 14 2019 Nonlinear instability for the Navier-Stokes equations. Zbl 1233.35155 Friedlander, Susan; Pavlović, Nataša; Shvydkoy, Roman 13 2006 The essential spectrum of the lienarized 2D Euler operator is a vertical band. Zbl 1109.76311 Shvidkoy, Roman; Latushkin, Yuri 12 2003 Some remarks on vector-valued integration. Zbl 1084.28008 Kadets, V.; Shumyatskiy, B.; Shvidkoy, R.; Tseytlin, L.; Zheltukhin, K. 12 2002 2D homogeneous solutions to the Euler equation. Zbl 1329.35237 Luo, Xue; Shvydkoy, Roman 12 2015 Operator algebras and the Fredholm spectrum of advective equations of linear hydrodynamics. Zbl 1181.35181 Shvydkoy, R.; Latushkin, Y. 10 2009 A geometric condition implying an energy equality for solutions of the 3D Navier-Stokes equation. Zbl 1160.76011 Shvydkoy, R. 10 2009 On the motion of incompressible inhomogeneous Euler-Korteweg fluids. Zbl 1210.76012 Bulíček, Miroslav; Feireisl, Eduard; Málek, Josef; Shvydkoy, Roman 9 2010 Trotter’s product formula for projections. Zbl 1054.47033 Matolcsi, Máté; Shvidkoy, Roman 9 2003 The unstable spectrum of the surface quasi-geostrophic equation. Zbl 1064.76046 Friedlander, Susan; Shvydkoy, Roman 9 2005 Homogeneous solutions to the 3D Euler system. Zbl 1386.35333 Shvydkoy, Roman 9 2018 Schauder estimates for an integro-differential equation with applications to a nonlocal Burgers equation. Zbl 1471.45008 Imbert, Cyril; Jin, Tianling; Shvydkoy, Roman 9 2018 Hyperbolicity of delay equations via Fourier multipliers. Zbl 1050.35120 Bátkai, A.; Fašanga, E.; Shvidkoy, R. 8 2003 The energy measure for the Euler and Navier-Stokes equations. Zbl 1405.35141 Leslie, Trevor M.; Shvydkoy, Roman 8 2018 Entropy hierarchies for equations of compressible fluids and self-organized dynamics. Zbl 1444.92139 Constantin, Peter; Drivas, Theodore D.; Shvydkoy, Roman 8 2020 On the Krein-Šmulian theorem for weaker topologies. Zbl 1040.46009 Cascales, B.; Shvydkoy, R. 7 2003 Essential spectrum of the linearized 2D Euler equation and Lyapunov-Oseledets exponents. Zbl 1329.76028 Shvydkoy, Roman; Latushkin, Yuri 7 2005 On recent developments in the spectral problem for the linearized Euler equation. Zbl 1221.35303 Shvydkoy, Roman; Friedlander, Susan 7 2005 Banach spaces with the Daugavet property. (Espaces de Banach ayant la propriété de Daugavet.) Zbl 0914.46022 Kadets, Vladimir M.; Shvidkoy, Roman V.; Sirotkin, Gleb G.; Werner, Dirk 6 1997 Geometric structure of mass concentration sets for pressureless Euler alignment systems. Zbl 1490.35330 Lear, Daniel; Leslie, Trevor M.; Shvydkoy, Roman; Tadmor, Eitan 6 2022 Ill-posedness for subcritical hyperdissipative Navier-Stokes equations in the largest critical spaces. Zbl 1426.76089 Cheskidov, A.; Shvydkoy, R. 6 2012 Cocycles and Mañe sequences with an application to ideal fluids. Zbl 1104.37003 Shvydkoy, Roman 5 2006 Unidirectional flocks in hydrodynamic Euler alignment system. II: Singular models. Zbl 1476.35204 Lear, Daniel; Shvydkoy, Roman 5 2021 On Cucker-Smale dynamical systems with degenerate communication. Zbl 1471.92398 Dietert, Helge; Shvydkoy, Roman 5 2021 A study of energy concentration and drain in incompressible fluids. Zbl 1322.76012 Shvydkoy, Roman 5 2013 Global well-posedness of a non-local Burgers equation: the periodic case. Zbl 1355.35190 Imbert, Cyril; Shvydkoy, Roman; Vigneron, François 4 2016 Addendum: 2D homogeneous solutions to the Euler equation. Zbl 1430.35191 Luo, Xue; Shvydkoy, Roman 4 2017 On the energy behavior of locally self-similar blowup for the Euler equation. Zbl 1328.76009 Bronzi, Anne; Shvydkoy, Roman 4 2015 Local well-posedness of the topological Euler alignment models of collective behavior. Zbl 1451.92350 Reynolds, David N.; Shvydkoy, Roman 4 2020 Multiflocks: emergent dynamics in systems with multiscale collective behavior. Zbl 1470.92403 Shvydkoy, Roman; Tadmor, Eitan 4 2021 On spectrum of the linearized 3D Euler equation. Zbl 1074.76027 Shvydkoy, Roman; Vishik, Misha 3 2004 A continuous model for turbulent energy cascade. Zbl 1296.76059 Cheskidov, Alexey; Shvydkoy, Roman; Friedlander, Susan 3 2012 Narrow operators on vector-valued sup-normed spaces. Zbl 1030.46014 Bilik, Dmitriy; Kadets, Vladimir; Shvidkoy, Roman; Sirotkin, Gleb; Werner, Dirk 3 2002 Continuous spectrum of the 3D Euler equation is a solid annulus. (Le spectre continu de l’equation d’Euler 3D est un anneau.) Zbl 1198.35160 Shvydkoy, Roman 3 2010 Grassmannian reduction of Cucker-Smale systems and dynamical opinion games. Zbl 1483.91165 Lear, Daniel; Reynolds, David N.; Shvydkoy, Roman 3 2021 Global solutions to multi-dimensional topological Euler alignment systems. Zbl 1485.92181 Lear, Daniel; Reynolds, David N.; Shvydkoy, Roman 3 2022 The Daugavet property for pairs of Banach spaces. Zbl 0960.46009 Kadets, V. M.; Shvidkoy, R. V. 2 1999 Isospectral theory of Euler equations. Zbl 1060.35101 Li, Y. Charles; Shvidkoy, Roman 2 2004 The unstable spectrum of the Navier-Stokes operator in the limit of vanishing viscosity. Zbl 1140.35550 Shvydkoy, Roman; Friedlander, Susan 2 2008 Propagation of chaos for the Cucker-Smale systems under heavy tail communication. Zbl 1501.35415 Nguyen, Vinh; Shvydkoy, Roman 2 2022 The largest linear space of operators satisfying the Daugavet equation in \( L_{1}\). Zbl 0985.47027 Shvydkoy, R. V. 1 2002 A dimension-dependent maximal inequality. Zbl 1009.42011 Shvidkoy, Roman 1 2002 Volumetric theory of intermittency in fully developed turbulence. Zbl 1512.76040 Cheskidov, Alexey; Shvydkoy, Roman 1 2023 Global hypocoercivity of kinetic Fokker-Planck-alignment equations. Zbl 1486.35386 Shvydkoy, Roman 1 2022 Susan Friedlander’s contributions in mathematical fluid dynamics. Zbl 1467.76002 Cheskidov, Alexey; Glatt-Holtz, Nathan; Pavlovic, Natasa; Shvydkoy, Roman; Vicol, Vlad 1 2021 Volumetric theory of intermittency in fully developed turbulence. Zbl 1512.76040 Cheskidov, Alexey; Shvydkoy, Roman 1 2023 Geometric structure of mass concentration sets for pressureless Euler alignment systems. Zbl 1490.35330 Lear, Daniel; Leslie, Trevor M.; Shvydkoy, Roman; Tadmor, Eitan 6 2022 Global solutions to multi-dimensional topological Euler alignment systems. Zbl 1485.92181 Lear, Daniel; Reynolds, David N.; Shvydkoy, Roman 3 2022 Propagation of chaos for the Cucker-Smale systems under heavy tail communication. Zbl 1501.35415 Nguyen, Vinh; Shvydkoy, Roman 2 2022 Global hypocoercivity of kinetic Fokker-Planck-alignment equations. Zbl 1486.35386 Shvydkoy, Roman 1 2022 Dynamics and analysis of alignment models of collective behavior. Zbl 1471.37001 Shvydkoy, Roman 20 2021 Unidirectional flocks in hydrodynamic Euler alignment system. II: Singular models. Zbl 1476.35204 Lear, Daniel; Shvydkoy, Roman 5 2021 On Cucker-Smale dynamical systems with degenerate communication. Zbl 1471.92398 Dietert, Helge; Shvydkoy, Roman 5 2021 Multiflocks: emergent dynamics in systems with multiscale collective behavior. Zbl 1470.92403 Shvydkoy, Roman; Tadmor, Eitan 4 2021 Grassmannian reduction of Cucker-Smale systems and dynamical opinion games. Zbl 1483.91165 Lear, Daniel; Reynolds, David N.; Shvydkoy, Roman 3 2021 Susan Friedlander’s contributions in mathematical fluid dynamics. Zbl 1467.76002 Cheskidov, Alexey; Glatt-Holtz, Nathan; Pavlovic, Natasa; Shvydkoy, Roman; Vicol, Vlad 1 2021 Topologically based fractional diffusion and emergent dynamics with short-range interactions. Zbl 1453.92371 Shvydkoy, Roman; Tadmor, Eitan 18 2020 Entropy hierarchies for equations of compressible fluids and self-organized dynamics. Zbl 1444.92139 Constantin, Peter; Drivas, Theodore D.; Shvydkoy, Roman 8 2020 Local well-posedness of the topological Euler alignment models of collective behavior. Zbl 1451.92350 Reynolds, David N.; Shvydkoy, Roman 4 2020 Global existence and stability of nearly aligned flocks. Zbl 1426.92094 Shvydkoy, Roman 17 2019 On the structure of limiting flocks in hydrodynamic Euler alignment models. Zbl 1428.92130 Leslie, Trevor M.; Shvydkoy, Roman 14 2019 Eulerian dynamics with a commutator forcing. III: Fractional diffusion of order \(0 < \alpha < 1\). Zbl 1398.35157 Shvydkoy, Roman; Tadmor, Eitan 37 2018 Conditions implying energy equality for weak solutions of the Navier-Stokes equations. Zbl 1387.76102 Leslie, Trevor M.; Shvydkoy, Roman 18 2018 Homogeneous solutions to the 3D Euler system. Zbl 1386.35333 Shvydkoy, Roman 9 2018 Schauder estimates for an integro-differential equation with applications to a nonlocal Burgers equation. Zbl 1471.45008 Imbert, Cyril; Jin, Tianling; Shvydkoy, Roman 9 2018 The energy measure for the Euler and Navier-Stokes equations. Zbl 1405.35141 Leslie, Trevor M.; Shvydkoy, Roman 8 2018 Eulerian dynamics with a commutator forcing. Zbl 1379.35252 Shvydkoy, Roman; Tadmor, Eitan 53 2017 Global regularity for 2D Muskat equations with finite slope. Zbl 1365.76304 Constantin, Peter; Gancedo, Francisco; Shvydkoy, Roman; Vicol, Vlad 48 2017 Eulerian dynamics with a commutator forcing. II: Flocking. Zbl 1372.35227 Shvydkoy, Roman; Tadmor, Eitan 34 2017 Addendum: 2D homogeneous solutions to the Euler equation. Zbl 1430.35191 Luo, Xue; Shvydkoy, Roman 4 2017 The energy balance relation for weak solutions of the density-dependent Navier-Stokes equations. Zbl 1383.76080 Leslie, T. M.; Shvydkoy, R. 27 2016 Energy conservation in two-dimensional incompressible ideal fluids. Zbl 1351.35112 Cheskidov, A.; Lopes Filho, M. C.; Nussenzveig Lopes, H. J.; Shvydkoy, R. 23 2016 Global well-posedness of a non-local Burgers equation: the periodic case. Zbl 1355.35190 Imbert, Cyril; Shvydkoy, Roman; Vigneron, François 4 2016 2D homogeneous solutions to the Euler equation. Zbl 1329.35237 Luo, Xue; Shvydkoy, Roman 12 2015 On the energy behavior of locally self-similar blowup for the Euler equation. Zbl 1328.76009 Bronzi, Anne; Shvydkoy, Roman 4 2015 Euler equations and turbulence: analytical approach to intermittency. Zbl 1295.76010 Cheskidov, A.; Shvydkoy, R. 23 2014 A unified approach to regularity problems for the 3D Navier-Stokes and Euler equations: the use of Kolmogorov’s dissipation range. Zbl 1433.76031 Cheskidov, A.; Shvydkoy, R. 20 2014 On formation of a locally self-similar collapse in the incompressible Euler equations. Zbl 1285.35070 Chae, Dongho; Shvydkoy, Roman 19 2013 A study of energy concentration and drain in incompressible fluids. Zbl 1322.76012 Shvydkoy, Roman 5 2013 Ill-posedness for subcritical hyperdissipative Navier-Stokes equations in the largest critical spaces. Zbl 1426.76089 Cheskidov, A.; Shvydkoy, R. 6 2012 A continuous model for turbulent energy cascade. Zbl 1296.76059 Cheskidov, Alexey; Shvydkoy, Roman; Friedlander, Susan 3 2012 Convex integration for a class of active scalar equations. Zbl 1231.35177 Shvydkoy, R. 49 2011 The regularity of weak solutions of the 3D Navier-Stokes equations in \(B^{-1}_{\infty,\infty}\). Zbl 1186.35137 Cheskidov, A.; Shvydkoy, R. 50 2010 Lectures on the Onsager conjecture. Zbl 1210.76086 Shvydkoy, Roman 28 2010 Ill-posedness of the basic equations of fluid dynamics in Besov spaces. Zbl 1423.76085 Cheskidov, A.; Shvydkoy, R. 26 2010 On the energy equality for weak solutions of the 3D Navier-Stokes equations. Zbl 1374.35279 Cheskidov, Alexey; Friedlander, Susan; Shvydkoy, Roman 24 2010 On the motion of incompressible inhomogeneous Euler-Korteweg fluids. Zbl 1210.76012 Bulíček, Miroslav; Feireisl, Eduard; Málek, Josef; Shvydkoy, Roman 9 2010 Continuous spectrum of the 3D Euler equation is a solid annulus. (Le spectre continu de l’equation d’Euler 3D est un anneau.) Zbl 1198.35160 Shvydkoy, Roman 3 2010 On the energy of inviscid singular flows. Zbl 1184.35256 Shvydkoy, Roman 17 2009 Operator algebras and the Fredholm spectrum of advective equations of linear hydrodynamics. Zbl 1181.35181 Shvydkoy, R.; Latushkin, Y. 10 2009 A geometric condition implying an energy equality for solutions of the 3D Navier-Stokes equation. Zbl 1160.76011 Shvydkoy, R. 10 2009 Energy conservation and Onsager’s conjecture for the Euler equations. Zbl 1138.76020 Cheskidov, A.; Constantin, P.; Friedlander, S.; Shvydkoy, R. 154 2008 The unstable spectrum of the Navier-Stokes operator in the limit of vanishing viscosity. Zbl 1140.35550 Shvydkoy, Roman; Friedlander, Susan 2 2008 The essential spectrum of advective equations. Zbl 1121.76027 Shvydkoy, Roman 14 2006 Nonlinear instability for the Navier-Stokes equations. Zbl 1233.35155 Friedlander, Susan; Pavlović, Nataša; Shvydkoy, Roman 13 2006 Cocycles and Mañe sequences with an application to ideal fluids. Zbl 1104.37003 Shvydkoy, Roman 5 2006 Narrow operators and the Daugavet property for ultraproducts. Zbl 1099.46009 Bilik, Dmitriy; Kadets, Vladimir; Shvidkoy, Roman; Werner, Dirk 14 2005 The unstable spectrum of the surface quasi-geostrophic equation. Zbl 1064.76046 Friedlander, Susan; Shvydkoy, Roman 9 2005 Essential spectrum of the linearized 2D Euler equation and Lyapunov-Oseledets exponents. Zbl 1329.76028 Shvydkoy, Roman; Latushkin, Yuri 7 2005 On recent developments in the spectral problem for the linearized Euler equation. Zbl 1221.35303 Shvydkoy, Roman; Friedlander, Susan 7 2005 On spectrum of the linearized 3D Euler equation. Zbl 1074.76027 Shvydkoy, Roman; Vishik, Misha 3 2004 Isospectral theory of Euler equations. Zbl 1060.35101 Li, Y. Charles; Shvidkoy, Roman 2 2004 The essential spectrum of the lienarized 2D Euler operator is a vertical band. Zbl 1109.76311 Shvidkoy, Roman; Latushkin, Yuri 12 2003 Trotter’s product formula for projections. Zbl 1054.47033 Matolcsi, Máté; Shvidkoy, Roman 9 2003 Hyperbolicity of delay equations via Fourier multipliers. Zbl 1050.35120 Bátkai, A.; Fašanga, E.; Shvidkoy, R. 8 2003 On the Krein-Šmulian theorem for weaker topologies. Zbl 1040.46009 Cascales, B.; Shvydkoy, R. 7 2003 Some remarks on vector-valued integration. Zbl 1084.28008 Kadets, V.; Shumyatskiy, B.; Shvidkoy, R.; Tseytlin, L.; Zheltukhin, K. 12 2002 Narrow operators on vector-valued sup-normed spaces. Zbl 1030.46014 Bilik, Dmitriy; Kadets, Vladimir; Shvidkoy, Roman; Sirotkin, Gleb; Werner, Dirk 3 2002 The largest linear space of operators satisfying the Daugavet equation in \( L_{1}\). Zbl 0985.47027 Shvydkoy, R. V. 1 2002 A dimension-dependent maximal inequality. Zbl 1009.42011 Shvidkoy, Roman 1 2002 Hyperbolicity of semigroups and Fourier multipliers. Zbl 1036.47026 Latushkin, Yuri; Shvydkoy, Roman 18 2001 Narrow operators and rich subspaces of Banach spaces with the Daugavet property. Zbl 0986.46010 Kadets, Vladimir M.; Shvidkoy, Roman V.; Werner, Dirk 15 2001 Banach spaces with the Daugavet property. Zbl 0938.46016 Kadets, Vladimir M.; Shvidkoy, Roman V.; Sirotkin, Gleb G.; Werner, Dirk 68 2000 Geometric aspects of the Daugavet property. Zbl 0964.46006 Shvydkoy, R. V. 36 2000 The Daugavet property for pairs of Banach spaces. Zbl 0960.46009 Kadets, V. M.; Shvidkoy, R. V. 2 1999 Banach spaces with the Daugavet property. (Espaces de Banach ayant la propriété de Daugavet.) Zbl 0914.46022 Kadets, Vladimir M.; Shvidkoy, Roman V.; Sirotkin, Gleb G.; Werner, Dirk 6 1997 all cited Publications top 5 cited Publications all top 5 Cited by 658 Authors 43 Shvydkoy, Roman V. 21 Cheskidov, Alexey 18 Martín Suarez, Miguel 16 Dai, Mimi 16 Rueda Zoca, Abraham 13 Kadets’, Volodymyr Mykhaĭlovych 13 Székelyhidi, László jun. 13 Tadmor, Eitan 12 Becerra Guerrero, Julio 12 Chae, Dongho 11 Castro, Ángel 11 Merí, Javier 11 Tan, Changhui 11 Wang, Yanqing 10 Vicol, Vlad C. 9 Friedlander, Susan Jean 9 Isett, Philip 9 Leslie, Trevor M. 8 Abrahamsen, Trond Arnold 8 Constantin, Peter 8 De Lellis, Camillo 8 Faraco, Daniel 8 Gancedo, Francisco 8 Grujić, Zoran 8 Lima, Vegard 8 López-Pérez, Ginés 8 Matioc, Bogdan-Vasile 7 Alazard, Thomas 7 Cordoba, Diego 7 Luo, Xiaoyutao 7 Nguyen, Huy Quang 7 Werner, Dirk 7 Wiedemann, Emil 7 Ye, Yulin 6 Bardos, Claude Williams 6 Buckmaster, Tristan 6 De Rosa, Luigi 6 Farwig, Reinhard 6 Granero Belinchón, Rafael 6 Gwiazda, Piotr 6 Kim, Seonghak 6 Langemets, Johann 6 Latushkin, Yuri 6 Lear, Daniel 6 Liang, Zhilei 5 Bedrossian, Jacob 5 Choi, Young-Pil 5 Dascaliuc, Radu 5 Dong, Hongjie 5 Drivas, Theodore Dimitrios 5 Gómez-Serrano, Javier 5 Ha, Seung-Yeal 5 Lindberg, Sauli 5 Świerczewska-Gwiazda, Agnieszka 5 Tao, Tao 5 Titi, Edriss Saleh 5 Xue, Liutang 5 Yan, Baisheng 5 Zhang, Liqun 4 Acosta Vigil, María Dolores 4 Beirão da Veiga, Hugo 4 Berselli, Luigi Carlo 4 Cascales, Bernardo 4 Chen, Qionglei 4 Chiodaroli, Elisabetta 4 Crippa, Gianluca 4 Dullin, Holger R. 4 Gao, Hongjun 4 Lazar, Omar 4 Mucha, Piotr Bogusław 4 Nygaard, Olav 4 Paunonen, Lassi 4 Peszek, Jan 4 Renardy, Michael 4 Reynolds, David N. 4 Shepelska, Varvara 4 Soler, Juan S. 4 Srivastava, Sachi 4 Tang, Tong 4 Wolf, Jörg 4 Zhang, Zhifei 4 Zhang, Zhipeng 3 Chen, Robin Ming 3 Dong, Boqing 3 Elgindi, Tarek Mohamed 3 Feireisl, Eduard 3 García-Juárez, Eduardo 3 Haller, Rainis 3 Imbert, Cyril 3 Jeong, In-Jee 3 Kiselev, Alexander A. 3 Li, Dong 3 Li, Y. Charles 3 Li, Yang 3 Liu, Han 3 Marangell, Robert 3 Matioc, Anca-Voichita 3 Mengual, Francisco 3 Miao, Qianyun 3 Oh, Sung-Jin ...and 558 more Authors all top 5 Cited in 148 Serials 40 Archive for Rational Mechanics and Analysis 32 Journal of Mathematical Analysis and Applications 31 Journal of Differential Equations 29 Journal of Mathematical Fluid Mechanics 28 Communications in Mathematical Physics 23 Nonlinearity 22 Journal of Functional Analysis 20 SIAM Journal on Mathematical Analysis 19 Proceedings of the American Mathematical Society 16 Physica D 15 Journal of Mathematical Physics 15 Advances in Mathematics 14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 13 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 12 Transactions of the American Mathematical Society 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Journal of Evolution Equations 10 Annals of PDE 8 Mathematische Annalen 8 Calculus of Variations and Partial Differential Equations 8 Discrete and Continuous Dynamical Systems 7 Inventiones Mathematicae 7 Communications in Partial Differential Equations 7 Bulletin of the American Mathematical Society. New Series 7 Nonlinear Analysis. Real World Applications 6 Communications on Pure and Applied Mathematics 6 Mathematical Methods in the Applied Sciences 6 Archiv der Mathematik 6 Journal of Nonlinear Science 6 Analysis & PDE 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Applied Mathematics Letters 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Central European Journal of Mathematics 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Journal of Dynamics and Differential Equations 4 Positivity 4 Annals of Mathematics. Second Series 4 Discrete and Continuous Dynamical Systems. Series B 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Journal of the Institute of Mathematics of Jussieu 4 Mediterranean Journal of Mathematics 4 Banach Journal of Mathematical Analysis 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Journal of Convex Analysis 3 Abstract and Applied Analysis 3 Journal of the European Mathematical Society (JEMS) 3 Communications on Pure and Applied Analysis 2 Geophysical and Astrophysical Fluid Dynamics 2 Israel Journal of Mathematics 2 Journal of Statistical Physics 2 Rocky Mountain Journal of Mathematics 2 Studia Mathematica 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Functiones et Approximatio. Commentarii Mathematici 2 Illinois Journal of Mathematics 2 Memoirs of the American Mathematical Society 2 Quarterly of Applied Mathematics 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Indagationes Mathematicae. 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Mathematics 2 Annals of Functional Analysis 2 S\(\vec{\text{e}}\)MA Journal 2 Advances in Nonlinear Analysis 2 EMS Surveys in Mathematical Sciences 2 SN Partial Differential Equations and Applications 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Theoretical Physics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal d’Analyse Mathématique 1 Journal of Computational Physics 1 Journal of Fluid Mechanics 1 Letters in Mathematical Physics 1 Linear and Multilinear Algebra 1 Reports on Mathematical Physics 1 Arkiv för Matematik 1 Journal of Geometry and Physics 1 Bulletin de la Société Mathématique de France 1 Colloquium Mathematicum 1 Czechoslovak Mathematical Journal 1 Duke Mathematical Journal 1 Glasgow Mathematical Journal 1 Integral Equations and Operator Theory 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Semigroup Forum 1 Topology and its Applications 1 Systems & Control Letters 1 Acta Applicandae Mathematicae ...and 48 more Serials all top 5 Cited in 43 Fields 477 Partial differential equations (35-XX) 373 Fluid mechanics (76-XX) 114 Functional analysis (46-XX) 70 Operator theory (47-XX) 40 Biology and other natural sciences (92-XX) 22 Ordinary differential equations (34-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 17 Dynamical systems and ergodic theory (37-XX) 15 Real functions (26-XX) 14 Statistical mechanics, structure of matter (82-XX) 14 Geophysics (86-XX) 13 Probability theory and stochastic processes (60-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 10 Measure and integration (28-XX) 9 Numerical analysis (65-XX) 8 Mechanics of particles and systems (70-XX) 8 Quantum theory (81-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Mechanics of deformable solids (74-XX) 7 Systems theory; control (93-XX) 5 General topology (54-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Functions of a complex variable (30-XX) 3 Integral equations (45-XX) 3 Convex and discrete geometry (52-XX) 3 Differential geometry (53-XX) 3 Optics, electromagnetic theory (78-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Approximations and expansions (41-XX) 2 Astronomy and astrophysics (85-XX) 2 Operations research, mathematical programming (90-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year