A blow-up criterion for compressible viscous heat-conductive flows
Analysis of PDEs
2010-06-15 v1 Mathematical Physics
math.MP
Abstract
We study an initial boundary value problem for the Navier-Stokes equations of compressible viscous heat-conductive fluids in a 2-D periodic domain or the unit square domain. We establish a blow-up criterion for the local strong solutions in terms of the gradient of the velocity only, which coincides with the famous Beale-Kato-Majda criterion for ideal incompressible flows.
Keywords
Cite
@article{arxiv.1006.2429,
title = {A blow-up criterion for compressible viscous heat-conductive flows},
author = {Song Jiang and Yaobin Ou},
journal= {arXiv preprint arXiv:1006.2429},
year = {2010}
}
Comments
Accepted by Acta Mathematica Scientia