| Energy conservation and Onsager's conjecture for the Euler equations A Cheskidov, P Constantin, S Friedlander, R Shvydkoy Nonlinearity 21 (6), 1233, 2008 | 312 | 2008 |
| Geometric aspects of the Daugavet property RV Shvydkoy Journal of Functional Analysis 176 (2), 198-212, 2000 | 113 | 2000 |
| Convex integration for a class of active scalar equations R Shvydkoy Journal of the American Mathematical Society 24 (4), 1159-1174, 2011 | 104 | 2011 |
| The regularity of weak solutions of the 3D Navier–Stokes equations in A Cheskidov, R Shvydkoy Archive for rational mechanics and analysis 195 (1), 159-169, 2010 | 92 | 2010 |
| Eulerian dynamics with a commutator forcing R Shvydkoy, E Tadmor Transactions of Mathematics and its Applications 1 (1), tnx001, 2017 | 91 | 2017 |
| Global regularity for 2D Muskat equations with finite slope P Constantin, F Gancedo, R Shvydkoy, V Vicol Annales de l'Institut Henri Poincaré C, Analyse non linéaire 34 (4), 1041-1074, 2017 | 82 | 2017 |
| Hyperbolicity of semigroups and Fourier multipliers Y Latushkin, R Shvydkoy Systems, Approximation, Singular Integral Operators, and Related Topics …, 2001 | 62 | 2001 |
| Eulerian dynamics with a commutator forcing II: Flocking R Shvydkoy, E Tadmor arXiv preprint arXiv:1701.07710, 2017 | 61 | 2017 |
| Eulerian dynamics with a commutator forcing III. Fractional diffusion of order 0< á< 1 R Shvydkoy, E Tadmor Physica D: Nonlinear Phenomena 376, 131-137, 2018 | 59 | 2018 |
| Ill-posedness of the basic equations of fluid dynamics in Besov spaces A Cheskidov, R Shvydkoy Proceedings of the American Mathematical Society 138 (3), 1059-1067, 2010 | 59 | 2010 |
| Lectures on the Onsager conjecture R Shvydkoy Discrete Contin. Dyn. Syst. Ser. S 3 (3), 473-496, 2010 | 58 | 2010 |
| On the energy equality for weak solutions of the 3D Navier-Stokes equations A Cheskidov, S Friedlander, R Shvydkoy Advances in Mathematical Fluid Mechanics: Dedicated to Giovanni Paolo Galdi …, 2010 | 55 | 2010 |
| Dynamics and analysis of alignment models of collective behavior R Shvydkoy Birkhäuser, 2021 | 53 | 2021 |
| A unified approach to regularity problems for the 3D Navier-Stokes and Euler equations: the use of KolmogorovĒs dissipation range A Cheskidov, R Shvydkoy Journal of Mathematical Fluid Mechanics 16, 263-273, 2014 | 48 | 2014 |
| Euler equations and turbulence: analytical approach to intermittency A Cheskidov, R Shvydkoy SIAM Journal on Mathematical Analysis 46 (1), 353-374, 2014 | 46 | 2014 |
| The energy balance relation for weak solutions of the density-dependent Navier–Stokes equations TM Leslie, R Shvydkoy Journal of Differential Equations 261 (6), 3719-3733, 2016 | 44 | 2016 |
| On the energy of inviscid singular flows R Shvydkoy Journal of mathematical analysis and applications 349 (2), 583-595, 2009 | 44 | 2009 |
| Nonlinear instability for the Navier-Stokes equations S Friedlander, N Pavlović, R Shvydkoy Communications in mathematical physics 264, 335-347, 2006 | 40 | 2006 |
| Energy conservation in two-dimensional incompressible ideal fluids A Cheskidov, MCL Filho, HJN Lopes, R Shvydkoy Communications in Mathematical Physics 348, 129-143, 2016 | 39 | 2016 |
| On formation of a locally self-similar collapse in the incompressible Euler equations D Chae, R Shvydkoy Archive for Rational Mechanics and Analysis 209 (3), 999-1017, 2013 | 38 | 2013 |
