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
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
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页码:489 / 499
页数:11
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