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.

引用

页码：429 / 440

页数：12

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