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1 JAD - Laboratoire Jean Alexandre Dieudonné 2 ICJ - Institut Camille Jordan Villeurbanne

Abstract : We study the BGK approximation to first-order scalar conservation laws with a flux which is discontinuous in the space variable. We show that the Cauchy Problem for the BGK approximation is well-posed and that, as the relaxation parameter tends to 0, it converges to the entropy solution of the limit problem.

Mots-clés : scalar conservation laws discontinuous flux BGK model relaxation limit





Author: Florent Berthelin - Julien Vovelle -

Source: https://hal.archives-ouvertes.fr/



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