Vorticity measures and the inviscid limit
Analysis of PDEs
2019-06-26 v1
Abstract
We consider a sequence of Leray-Hopf weak solutions of the 2D Navier-Stokes equations on a bounded domain, in the vanishing viscosity limit. We provide sufficient conditions on the associated vorticity measures, away from the boundary, which ensure that as the viscosity vanishes the sequence converges to a weak solution of the Euler equations. These assumptions are consistent with vortex sheet solutions of the Euler equations.
Keywords
Cite
@article{arxiv.1809.03661,
title = {Vorticity measures and the inviscid limit},
author = {Peter Constantin and Milton Lopes Filho and Helena Nussenzveig Lopes and Vlad Vicol},
journal= {arXiv preprint arXiv:1809.03661},
year = {2019}
}
Comments
14 pages