The Riemann problem for equations of a cold plasma

被引：0
|
作者：
Rozanova, Olga S. [1 ]
机构：
[1] Lomonosov Moscow State Univ, Math & Mech Dept, Leninskie Gory, Moscow 119991, Russia
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 527卷 / 01期
基金：
俄罗斯科学基金会;
关键词：
Quasilinear hyperbolic system; Riemann problem; Non-uniqueness; Singular shock; Plasma oscillations; CONSERVATION-LAWS; SYSTEMS;
D O I：
10.1016/j.jmaa.2023.127400
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A solution of the Riemann problem is constructed for a nonstrictly hyperbolic inho-mogeneous 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.& COPY; 2023 Elsevier Inc. All rights reserved.
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页数：15
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