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 50 条

[1] Cauchy problem for the hydrodynamic equations of a collisionless cold plasma
1600, (31):
[2] Periodic Riemann problem and discrete convolution equations
Vasil'ev, A. V.
Vasil'ev, V. B.
DIFFERENTIAL EQUATIONS, 2015, 51 (05) : 652 - 660
[3] Periodic Riemann problem and discrete convolution equations
A. V. Vasil’ev
V. B. Vasil’ev
Differential Equations, 2015, 51 : 652 - 660
[4] The Riemann problem for the transportation equations in gas dynamics
Sheng, WC
Zhang, T
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 137 (654) : 1 - +
[5] On the Riemann–Hilbert problem for the Beltrami equations in quasidisks
Efimushkin A.S.
Ryazanov V.I.
Journal of Mathematical Sciences, 2015, 211 (5) : 646 - 659
[6] Riemann problem for the relativistic Chaplygin Euler equations
Cheng, Hongjun
Yang, Hanchun
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 381 (01) : 17 - 26
[7] The Riemann problem for nonlinear degenerate wave equations
孙文华
盛万成
AppliedMathematicsandMechanics(EnglishEdition), 2010, 31 (06) : 665 - 674
[8] The Riemann problem for nonlinear degenerate wave equations
Sun, Wen-hua
Sheng, Wan-cheng
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2010, 31 (06) : 665 - 674
[9] THE RIEMANN PROBLEM FOR THE NONLINEAR DEGENERATE WAVE EQUATIONS
刘小民
王振
ActaMathematicaScientia, 2011, 31 (06) : 2313 - 2322
[10] THE RIEMANN PROBLEM FOR THE NONLINEAR DEGENERATE WAVE EQUATIONS
Liu Xiaomin
Wang Zhen
ACTA MATHEMATICA SCIENTIA, 2011, 31 (06) : 2313 - 2322

← 1 2 3 4 5 →