Roman Shvydkoy

most citedEnergy conservation and Onsager's conjecture for the Euler equations

3 citations · 3 across the 2 of their papers we have counts for

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math.AP2009

Ill-posedness of basic equations of fluid dynamics in Besov spaces

A. Cheskidov, R. Shvydkoy

We give a construction of a divergence-free vector field $u_{0} \in H^{s} \cap B_{\infty, \infty}^{- 1}$ , for all $s < 1/2$ , such that any Leray-Hopf solution to the Navier-Stokes equation…

math.AP2007★ 3 cited

Energy conservation and Onsager's conjecture for the Euler equations

A. Cheskidov, P. Constantin, S. Friedlander +1

Onsager conjectured that weak solutions of the Euler equations for incompressible fluids in 3D conserve energy only if they have a certain minimal smoothness, (of order of 1/3 frac…