Kinetic Formulation and Uniqueness for Scalar Conservation Laws with Discontinuous Flux
Crasta, Graziano
•
De Cicco, Virginia
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De Philippis, Guido
2015
Periodico
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
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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