A counterexample to well-posedness of entropy solutions to the compressible Euler system

被引：78

作者：

Chiodaroli, Elisabetta ^{[1
]}

机构：

[1] Ecole Polytech Fed Lausanne, CH-1015 Lausanne, Switzerland

来源：

JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS | 2014年 / 11卷 / 03期

关键词：

Compressible Euler equations; entropy solution; non-uniqueness; convex integration; WEAK SOLUTIONS;

D O I：

10.1142/S0219891614500143

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider entropy solutions to the Cauchy problem for the isentropic compressible Euler equations in the spatially periodic case. In more than one space dimension, the methods developed by De Lellis-Szekelyhidi enable us to show here failure of uniqueness on a finite time-interval for entropy solutions starting from any continuously differentiable initial density and suitably constructed bounded initial linear momenta.

引用

页码：493 / 519

页数：27

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