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arXiv · 1404.5837

Kinetic formulation and uniqueness for scalar conservation laws with discontinuous flux

Graziano Crasta·Virginia De Cicco·Guido De Philippis
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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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Graziano Crasta, Virginia De Cicco, Guido De Philippis. 2014-09-17. Kinetic formulation and uniqueness for scalar conservation laws with discontinuous flux. https://doi.org/10.1080/03605302.2014.979998

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