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Kinetic formulation and uniqueness for scalar conservation laws with discontinuous flux

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arxiv 1404.5837 v2 pith:5VYVZOMD submitted 2014-04-23 math.AP

Graziano Crasta , Virginia De Cicco , Guido De Philippis This is my paper
classification math.AP
keywords fluxconservationdiscontinuouskineticlawsscalaruniquenessalong
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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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