A Blow-Up Criterion for Classical Solutions to the Compressible Navier-Stokes Equations
Mathematical Physics
2015-05-13 v2 math.MP
Abstract
In this paper, we obtain a blow up criterion for classical solutions to the 3-D compressible Naiver-Stokes equations just in terms of the gradient of the velocity, similar to the Beal-Kato-Majda criterion for the ideal incompressible flow. In addition, initial vacuum is allowed in our case.
Keywords
Cite
@article{arxiv.0903.3090,
title = {A Blow-Up Criterion for Classical Solutions to the Compressible Navier-Stokes Equations},
author = {Xiangdi Huang and Zhouping Xin},
journal= {arXiv preprint arXiv:0903.3090},
year = {2015}
}
Comments
25 pages