The Riemann problem for equations of a cold plasma

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 co...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2023-11, Vol.527 (1), p.127400, Article 127400
Main Author: Rozanova, Olga S.
Format: Article
Language:English
Subjects:
Non-uniqueness
Plasma oscillations
Quasilinear hyperbolic system
Riemann problem
Singular shock
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Summary: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.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2023.127400