Kinetic formulation and uniqueness for scalar conservation laws with discontinuous flux

Published 23 Apr 2014 in math.AP | (1404.5837v2)

Abstract: We prove a uniqueness result for BV solutions of scalar conservation laws with discontinuous flux in several space dimensions. The proof is based on the notion of kinetic solution and on a careful analysis of the entropy dissipation along the discontinuities of the flux.

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