INITIAL-BOUNDARY VALUE PROBLEM FOR EULER EQUATIONS WITH INCOMPATIBLE DATA

被引：2

作者：

Li, Dening ^{[1
]}

机构：

[1] West Virginia Univ, Dept Math, Morgantown, WV 26506 USA

来源：

QUARTERLY OF APPLIED MATHEMATICS | 2018年 / 76卷 / 01期

关键词：

Initial boundary value problem; Euler system; shock; HYPERBOLIC SYSTEMS; CONSERVATION-LAWS; RAREFACTION; WAVES; SPACE;

D O I：

10.1090/qam/1490

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the initial-boundary value problem for the general 3-D Euler equations with data which are incompatible in the classical sense, but are "shock-compatible". We show that such data are also shock-compatible of infinite order and the initial-boundary value problem has a piece-wise smooth solution containing a shock.

引用

页码：47 / 64

页数：18

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