On a Leray–α model of turbulence A Cheskidov, DD Holm, E Olson, ES Titi Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2005 | 389 | 2005 |
Energy conservation and Onsager's conjecture for the Euler equations A Cheskidov, P Constantin, S Friedlander, R Shvydkoy Nonlinearity 21 (6), 1233, 2008 | 350 | 2008 |
On global attractors of the 3D Navier–Stokes equations A Cheskidov, C Foias Journal of Differential Equations 231 (2), 714-754, 2006 | 101 | 2006 |
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 | 93 | 2010 |
Sharp nonuniqueness for the Navier–Stokes equations A Cheskidov, X Luo Inventiones mathematicae 229 (3), 987-1054, 2022 | 84 | 2022 |
Blow-up in finite time for the dyadic model of the Navier-Stokes equations A Cheskidov Transactions of the American Mathematical Society 360 (10), 5101-5120, 2008 | 79 | 2008 |
Global attractors of evolutionary systems A Cheskidov Journal of dynamics and Differential Equations 21 (2), 249-268, 2009 | 72 | 2009 |
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 | 64 | 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 | 61 | 2010 |
Nonuniqueness of weak solutions for the transport equation at critical space regularity A Cheskidov, X Luo Annals of PDE 7, 1-45, 2021 | 59 | 2021 |
Energy equality for the Navier–Stokes equations in weak-in-time Onsager spaces A Cheskidov, X Luo Nonlinearity 33 (4), 1388, 2020 | 53 | 2020 |
A unified approach to regularity problems for the 3D Navier-Stokes and Euler equations: the use of Kolmogorov’s dissipation range A Cheskidov, R Shvydkoy Journal of Mathematical Fluid Mechanics 16, 263-273, 2014 | 51 | 2014 |
Inviscid dyadic model of turbulence: the fixed point and Onsager’s conjecture A Cheskidov, S Friedlander, N Pavlović Journal of mathematical physics 48 (6), 2007 | 51 | 2007 |
Euler equations and turbulence: analytical approach to intermittency A Cheskidov, R Shvydkoy SIAM Journal on Mathematical Analysis 46 (1), 353-374, 2014 | 50 | 2014 |
L2-critical nonuniqueness for the 2D Navier-Stokes equations A Cheskidov, X Luo arXiv preprint arXiv:2105.12117, 2021 | 48 | 2021 |
Energy conservation in two-dimensional incompressible ideal fluids A Cheskidov, MCL Filho, HJN Lopes, R Shvydkoy Communications in Mathematical Physics 348, 129-143, 2016 | 46 | 2016 |
An inviscid dyadic model of turbulence: the global attractor A Cheskidov, S Friedlander, N Pavlović arXiv preprint math/0610815, 2006 | 46 | 2006 |
Uniform global attractors for the nonautonomous 3D Navier–Stokes equations A Cheskidov, S Lu Advances in Mathematics 267, 277-306, 2014 | 42 | 2014 |
The vanishing viscosity limit for a dyadic model A Cheskidov, S Friedlander Physica D: Nonlinear Phenomena 238 (8), 783-787, 2009 | 39 | 2009 |
The Existence of a Global Attractor for the Forced Critical Surface Quasi-Geostrophic Equation in A Cheskidov, M Dai Journal of Mathematical Fluid Mechanics 20, 213-225, 2018 | 31 | 2018 |