The Riemann problem for equations of a cold plasma
Analysis of PDEs
2023-03-28 v2 Mathematical Physics
math.MP
Abstract
A solution of the Riemann problem is constructed for a nonstrictly hyperbolic inhomogeneous system of equations describing one-dimensional cold plasma oscillations. Each oscillation period includes one rarefaction wave and one shock wave containing a delta singularity. The rarefaction wave can be constructed in a non-unique way, the admissibility principle is proposed.
Keywords
Cite
@article{arxiv.2301.03986,
title = {The Riemann problem for equations of a cold plasma},
author = {Olga S. Rozanova},
journal= {arXiv preprint arXiv:2301.03986},
year = {2023}
}
Comments
15 pages, 8 figures