Abstract
In this paper we show that for some specific initial data, the Riemann problem for a simple model of $2\times 2$ hyperbolic conservation laws has solutions containing delta-shock waves.
Citation
Hiroki Ohwa. "An example of $2\times 2$ hyperbolic conservation laws admitting delta-shock waves." Nihonkai Math. J. 23 (2) 59 - 75, 2012.
Information
Published: 2012
First available in Project Euclid: 12 March 2013
zbMATH: 1262.35165
MathSciNet: MR3060227
Subjects:
Primary:
35L65
,
35L67
Keywords:
Conservation laws
,
delta-shock waves
,
the Riemann problem
Rights: Copyright © 2012 Niigata University, Department of Mathematics