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

共 16 条

[1] Alexandrov AF., 1984, PRINCIPLES PLASMA EL, DOI [10.1007/978-3-642-69247-5, DOI 10.1007/978-3-642-69247-5]
[2] Balogh A., 2013, PHYS COLLISIONLESS S
[3] Chizhonkov E.V., 2019, Mathematical aspects of modelling oscillations and wake waves in plasma
[4] Davidson R. C., 1972, METHODS NONLINEAR PL
[5] Critical thresholds in Euler-Poisson equations
Engelberg, S
Liu, HL
Tadmor, E
[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2001, 50 : 109 - 157
[6] Application of the Energy Conservation Law in the Cold Plasma Model
Frolov, A. A.
Chizhonkov, E. V.
[J]. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2020, 60 (03) : 498 - 513
[7] Ghoshal SS, 2023, Arxiv, DOI arXiv:2109.13182
[8] Kanwal R. P., 1998, Generalized Functions Theory and Technique: Theory and Technique
[9] Hyperbolicity singularities in rarefaction waves
Mailybaev, Alexei A.
Marchesin, Dan
[J]. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2008, 20 (01) : 1 - 29
[10] MAGNETOHYDRODYNAMIC SHOCK STRUCTURE WITHOUT COLLISIONS
MORAWETZ, CS
[J]. PHYSICS OF FLUIDS, 1961, 4 (08) : 988 - 1006

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