Compatibility of jump Cauchy data for non-isentropic Euler equations

被引：4

作者：

Li, Dening ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 425卷 / 01期

关键词：

Compatibility; Cauchy problem; Euler systems; Shock; Rarefaction wave; Contact discontinuity; BOUNDARY-VALUE-PROBLEMS; HYPERBOLIC SYSTEMS; CONSERVATION-LAWS; VORTEX SHEETS; RAREFACTION; WAVES; SPACE;

D O I：

10.1016/j.jmaa.2014.12.053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper studies the compatibility of the Cauchy data which have a jump discontinuity for the non-isentropic 3-d Euler system. For a complete range of combinations of waves including shocks, rarefaction waves, and contact discontinuity, it is shown that the data is compatible of infinite order if the corresponding 1-d Riemann problem admits such a solution. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：565 / 587

页数：23

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