Non-relativistic global limits of the entropy solutions to the relativistic Euler equations with γ-law

被引：10

作者：

Li, Yachun ^{[1
]}

Ren, Xucai ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2006年 / 5卷 / 04期

关键词：

relativistic Euler equations; Riemann solutions; uniqueness; Lorentz transformation; KINETIC SCHEMES; GAS-DYNAMICS; INITIAL DATA; STABILITY;

D O I：

10.3934/cpaa.2006.5.963

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze the limit as the speed of light c -> infinity of the global entropy solutions of the 2 x 2 relativistic Enter equations for the state p = kappa(2)rho(gamma) (1 < gamma < 2), and find that the limit is the entropy solution of the corresponding non-relativistic Enter equations.

引用

页码：963 / 979

页数：17

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