Calculus of Variations and Geometric Measure Theory
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G. Crasta - V. De Cicco - G. De Philippis

Kinetic formulation and uniqueness for scalar conservation laws with discontinuous flux

created by dephilipp on 23 Apr 2014
modified by decicco on 17 Oct 2014


Accepted Paper

Inserted: 23 apr 2014
Last Updated: 17 oct 2014

Journal: Comm. in P.D.E.
Pages: 31
Year: 2014


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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