A priori estimates and analytical construction of radially symmetric solutions in the gas dynamics
Analysis of PDEs
2014-08-19 v3
Abstract
In this article we derive C^1-a priori estimates on the Riemann invariants of the Euler compressible equations in the case of cylindrical or spherical symmetry. These estimates allow then to construct shock waves with a time of existence proportional to the distance to the origin at the initial time.
Keywords
Cite
@article{arxiv.1307.7885,
title = {A priori estimates and analytical construction of radially symmetric solutions in the gas dynamics},
author = {Magali Lécureux-Mercier},
journal= {arXiv preprint arXiv:1307.7885},
year = {2014}
}