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arXiv:2301.03986 [math.AP]AbstractReferencesReviewsResources

The Riemann problem for equations of a cold plasma

Olga S. Rozanova

Published 2023-01-10Version 1

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.

Comments: 15 pages, 8 figures
Categories: math.AP, math-ph, math.MP
Subjects: 35Q60, 35L60, 35L67, 34M10
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