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.


Published in:
Journal Of Hyperbolic Differential Equations, 11, 3, 493-519
Year:
2014
Publisher:
Singapore, World Scientific Publ Co Pte Ltd
ISSN:
0219-8916
Keywords:
Laboratories:




 Record created 2014-11-13, last modified 2018-03-13


Rate this document:

Rate this document:
1
2
3
 
(Not yet reviewed)