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.

引用

页数：15

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