A criterion of singularity formation for the non-isentropic gas dynamics equations
Mathematical Physics
2017-01-16 v3 Analysis of PDEs
math.MP
Abstract
For the 1D non-isentropic polytropic gas dynamics equations we find sufficient and necessary conditions for blow up of derivatives in the terms of Cauchy data. In particular, the method allows to determine exact class of initial data corresponding to globally smooth in time solution.
Keywords
Cite
@article{arxiv.1610.09499,
title = {A criterion of singularity formation for the non-isentropic gas dynamics equations},
author = {Olga S. Rozanova},
journal= {arXiv preprint arXiv:1610.09499},
year = {2017}
}
Comments
13 pages, 1 figure