arXiv Analytics

Sign in

arXiv:1212.4207 [math.AP]AbstractReferencesReviewsResources

Ill-posedness for subcritical hyperdissipative Navier-Stokes equations in the largest critical spaces

Alexey Cheskidov, Roman Shvydkoy

Published 2012-12-18Version 1

We study the incompressible Navier-Stokes equations with a fractional Laplacian and prove the existence of discontinuous Leray-Hopf solutions in the largest critical space with arbitrarily small initial data.

Journal: J. Math. Phys. 53, 115620 (2012)
Categories: math.AP
Subjects: 76D03, 35Q30, 47.10.ad
Related articles: Most relevant | Search more
arXiv:1302.7084 [math.AP] (Published 2013-02-28)
Ill-posedness of the incompressible Navier-Stokes equations in $\dot{F}^{-1,q}_{\infty}({R}^3)$
arXiv:1209.6104 [math.AP] (Published 2012-09-27, updated 2015-01-28)
Fractional Laplacian on the torus
arXiv:1509.06697 [math.AP] (Published 2015-09-22)
On the Asymptotic Analysis of Problems Involving Fractional Laplacian in Cylindrical Domains Tending to Infinity

Links

Toolbox