Riemann problem for the isentropic relativistic Chaplygin Euler equations

被引：30
|
作者：
Cheng, Hongjun [1 ]
Yang, Hanchun [1 ]
机构：
[1] Yunnan Univ, Dept Math, Kunming 650091, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2012年 / 63卷 / 03期
关键词：
Isentropic relativistic Euler equations; Chaplygin gas; Delta-shock wave; Generalized Rankine-Hugoniot relation; VANISHING PRESSURE LIMIT; DELTA-SHOCK-WAVES; HYPERBOLIC SYSTEMS; ENTROPY SOLUTIONS; CONSERVATION-LAWS; VACUUM STATES; GAS; VISCOSITY; EXISTENCE; FLOW;
D O I：
10.1007/s00033-012-0199-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies the Riemann problem of the isentropic relativistic Euler equations for a Chaplygin gas. The solutions exactly include five kinds. The first four consist of different contact discontinuities while the rest involves delta-shock waves. Under suitable generalized Rankine-Hugoniot relation and entropy condition, the existence and uniqueness of delta-shock solutions are established.
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页码：429 / 440
页数：12
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