NON-RELATIVISTIC GLOBAL LIMITS TO THE THREE DIMENSIONAL RELATIVISTIC EULER EQUATIONS WITH SPHERICAL SYMMETRY

被引：5

作者：

Hao, Xingwen ^{[1
]}

Li, Yachun ^{[1
]}

Wang, Zejun ^{[2
]}

机构：

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

[2] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2010年 / 9卷 / 02期

关键词：

Relativistic Euler equations; spherical symmetry; weak solutions; non-relativistic limits; shock curves; rarefaction wave curves; ENTROPY SOLUTIONS; LAWS;

D O I：

10.3934/cpaa.2010.9.365

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

As a fundamental and important step to understand the existence and behavior of solution to the multi-dimensional problem, we study in this paper the three dimensional relativistic Euler equations with spherical symmetry. We obtain the non-relativistic global limits of entropy solutions to the Cauchy problem of the spherically symmetric relativistic Euler equations.

引用

页码：365 / 386

页数：22

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