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.
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页码：365 / 386
页数：22
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