Uniqueness of rarefaction waves in multidimensional compressible Euler system

被引：32

作者：

Feireisl, Eduard ^{[1
]}

Kreml, Ondrej ^{[1
]}

机构：

[1] Acad Sci Czech Republic, Inst Math, CR-11567 Prague 1, Czech Republic

来源：

JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS | 2015年 / 12卷 / 03期

基金：

欧洲研究理事会;

关键词：

Compressible Euler system; uniqueness; rarefaction wave; Riemann problem; WEAK-STRONG UNIQUENESS; RIEMANN SOLUTIONS; GAS-DYNAMICS; BALANCE LAWS; EQUATIONS; STABILITY; FIELDS;

D O I：

10.1142/S0219891615500149

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that 1D rarefaction wave solutions are unique in the class of bounded entropy solutions to the multidimensional compressible Euler system. Such a result may be viewed as a counterpart of the recent examples of non-uniqueness of the shock wave solutions to the Riemann problem, where infinitely many solutions are constructed by the method of convex integration.

引用

页码：489 / 499

页数：11

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