Uniqueness of rarefaction waves in multidimensional compressible Euler system
Analysis of PDEs
2014-02-12 v1
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.
Keywords
Cite
@article{arxiv.1402.2526,
title = {Uniqueness of rarefaction waves in multidimensional compressible Euler system},
author = {Eduard Feireisl and Ondřej Kreml},
journal= {arXiv preprint arXiv:1402.2526},
year = {2014}
}