Journal
JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS
Volume 11, Issue 3, Pages 493-519Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219891614500143
Keywords
Compressible Euler equations; entropy solution; non-uniqueness; convex integration
Categories
Ask authors/readers for more resources
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.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available