A counterexample to well-posedness of entropy solutions to the compressible Euler system
Analysis of PDEs
2014-08-26 v1
Abstract
We deal with entropy solutions to the Cauchy problem for the isentropic compressible Euler equations in the space-periodic case. In more than one space dimension, the methods developed by De Lellis-Sz\'ekelyhidi enable us to show 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.
Keywords
Cite
@article{arxiv.1201.3470,
title = {A counterexample to well-posedness of entropy solutions to the compressible Euler system},
author = {Elisabetta Chiodaroli},
journal= {arXiv preprint arXiv:1201.3470},
year = {2014}
}
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29 pages