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.
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页码：489 / 499
页数：11
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