Loading...
research article
Global Ill-Posedness of the Isentropic System of Gas Dynamics
We consider the isentropic compressible Euler system in 2 space dimensions with pressure law p () = (2) and we show the existence of classical Riemann data, i.e. pure jump discontinuities across a line, for which there are infinitely many admissible bounded weak solutions (bounded away from the void). We also show that some of these Riemann data are generated by a 1-dimensional compression wave: our theorem leads therefore to Lipschitz initial data for which there are infinitely many global bounded admissible weak solutions. (c) 2015 Wiley Periodicals, Inc.
Type
research article
Web of Science ID
WOS:000354887200002
Authors
Publication date
2015
Publisher
Published in
Volume
68
Issue
7
Start page
1157
End page
1190
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
September 28, 2015
Use this identifier to reference this record