Singularity formation for the compressible Euler equations with general pressure law
Analysis of PDEs
2015-09-17 v1
Abstract
In this paper, the singularity formation of classical solutions for the compressible Euler equations with general pressure law is considered. The gradient blow-up of classical solutions is shown without any smallness assumption by the delicate analysis on the decoupled Riccati type equations. The proof also relies on a new estimate for the upper bound of density.
Cite
@article{arxiv.1509.04827,
title = {Singularity formation for the compressible Euler equations with general pressure law},
author = {Hualin Zheng},
journal= {arXiv preprint arXiv:1509.04827},
year = {2015}
}
Comments
18 pages, 1 figure