Singularity formation for rotational gas dynamics
Mathematical Physics
2020-10-29 v2 Analysis of PDEs
math.MP
Abstract
The Cauchy problem for the system of equations of two-dimensional rotational gas dynamics is considered. It is assumed that the Cauchy data are a smooth compact perturbation of a constant state. Integral conditions for the data sufficient for the loss of smoothness by a solution within a finite time are found. We analyze the possibility of fulfilling these conditions and compare them with the criterion of singularity formation, known for rotational gas dynamics without pressure.
Keywords
Cite
@article{arxiv.2001.10306,
title = {Singularity formation for rotational gas dynamics},
author = {Olga S. Rozanova},
journal= {arXiv preprint arXiv:2001.10306},
year = {2020}
}
Comments
15 pages, 3 figures