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arXiv · 1402.2526

Uniqueness of rarefaction waves in multidimensional compressible Euler system

Eduard Feireisl·Ondřej Kreml
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Abstract

We show that 1-D 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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Eduard Feireisl, Ondřej Kreml. 2014-02-11. Uniqueness of rarefaction waves in multidimensional compressible Euler system. https://arxiv.org/abs/1402.2526

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