Roman Shvydkoy

Energy conservation and Onsager's conjecture for the Euler equations

Alexey Cheskidov, Peter Constantin, Susan Friedlander et al. · Nonlinearity · 2008 · 318 citations

Natural Sciences, Mathematics, Physics +14

Convex integration for a class of active scalar equations

Roman Shvydkoy · Journal of the American Mathematical Society · 2011 · 102 citations · Full text

Natural Sciences, Mathematics, Differential Equations +13

Geometric Aspects of the Daugavet Property

Roman Shvydkoy · Journal of Functional Analysis · 2000 · 94 citations

Natural Sciences, Mathematics, Geometry +4

The Regularity of Weak Solutions of the 3D Navier–Stokes Equations in $${B^{-1}_{\infty,\infty}}$$

Alexey Cheskidov, Roman Shvydkoy · Archive for Rational Mechanics and Analysis · 2009 · 68 citations

Natural Sciences, Physics, Fluid Dynamics +11

Eulerian dynamics with a commutator forcing

Roman Shvydkoy, Eitan Tadmor · Transactions of Mathematics and Its Applications · 2017 · 61 citations · Full text

Natural Sciences, Mathematics, Physics +17