Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 67, Issue 11, Pages 3041-3049Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2006.09.057
Keywords
Riemann problem; coupled system; generalized Rankine-Hugoniot relation; entropy condition; delta shock wave
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In this paper, we solve the Riemann problem with the initial data containing Dirac delta functions for a class of coupled hyperbolic systems of conservation laws. Under suitably generalized Rankine-Hugoniot relation and entropy condition, the existence and uniqueness of solutions involving delta shock waves are proved. Further, four kinds of different structure for solutions are established uniquely. (c) 2006 Elsevier Ltd. All rights reserved.
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