Global stability of solutions with discontinuous initial data containing vacuum states for the relativistic Euler equations

被引：10

作者：

Li, YC ^{[1
]}

Wang, LB ^{[1
]}

机构：

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

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2005年 / 26卷 / 04期

关键词：

relativistic Euler equations; entropy solutions; vacuum; uniqueness; global stability;

D O I：

10.1142/S0252959905000397

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The global stability of Lipschitz continuous solutions with discontinuous initial data for the relativistic Euler equations is established in a broad class of entropy solutions in L-infinity containing vacuum states. As a corollary, the uniqueness of Lipschitz solutions with discontinuous initial data is obtained in the broad class of entropy solutions in L-infinity.

引用

页码：491 / 510

页数：20

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