Compressible Euler equations with vacuum

被引：109

作者：

Liu, TP ^{[1
]}

Yang, T ^{[1
]}

机构：

[1] CITY UNIV HONG KONG,DEPT MATH,KOWLOON,HONG KONG

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1997年 / 140卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1006/jdeq.1997.3281

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we first show that the regular solutions of compressible Euler equations in R-3 with damping will not be global if the initial density function has compact support. This implies that c(2) cannot be smooth across the boundary Gamma separating the gas and the vacuum after a finite time, where c is the speed of sound. Then we study the local existence of solutions for isentropic gas flow in R-1 when c(alpha), O < alpha less than or equal to 1, is smooth across Gamma, using the energy method and the characteristics method. (C) 1997 Academic Press.

引用

页码：223 / 237

页数：15

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