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research article
A counterexample to well-posedness of entropy solutions to the compressible Euler system
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.
Type
research article
Web of Science ID
WOS:000342565200003
Authors
Publication date
2014
Publisher
Published in
Volume
11
Issue
3
Start page
493
End page
519
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
November 13, 2014
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