Abstract
We consider the generalized Riemann problem for nonlinear hyperbolic systems of conservation laws. We show in this paper that we can find the entropy solution of this problem in the form of an asymptotic expansion in time and we give an explicit method of construction of this asymptotic expansion. Finally, we define from this expansion an approximate solution of the generalized Riemann problem and we give error bounds.
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More From: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
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