Calculus of Variations and Geometric Measure Theory
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E. Chiodaroli

A COUNTEREXAMPLE TO WELL-POSEDNESS OF ENTROPY SOLUTIONS TO THE COMPRESSIBLE EULER SYSTEM

created by chiodaroli on 16 Jan 2012
modified on 20 Apr 2015

[BibTeX]

Published Paper

Inserted: 16 jan 2012
Last Updated: 20 apr 2015

Journal: J. Hyper. Differential Equations
Volume: 11
Number: 3
Pages: 493– 519
Year: 2014
Doi: 10.1142/S0219891614500143
Links: PDF

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-Székelyhidi enable us to show failure of uniqueness on a nite time-interval for entropy solutions starting from any continuously differentiable initial density and suitably constructed bounded initial linear momenta.


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