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Global stability of solutions with discontinuous initial data containing vacuum states for the isentropic Euler equations
被引：0
作者：
Yachun Li
机构：
[1] Department of Mathematics,
[2] Shanghai Jiaotong University,undefined
来源：
Zeitschrift für angewandte Mathematik und Physik ZAMP
|
2004年
/
55卷
关键词：
Primary 35B40;
35A05;
76N15;
Secondary 35B35;
35L65;
Isentropic Euler equations;
entropy solutions;
continuous solutions;
discontinuous initial data;
global stability;
uniqueness;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The global stability of Lipschitz continuous solutions
with discontinuous initial data is established in a broad class of
entropy solutions in
\documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}
$$L^\infty$$
\end{document}
containing vacuum states. In
particular, the uniqueness of Lipschitz solutions with
discontinuous initial data is obtained in the broad class of
entropy solutions in
\documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}
$$L^\infty$$
\end{document}.
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页码：48 / 62
页数：14
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