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.
Kinetic formulation and uniqueness for scalar conservation laws with discontinuous flux / Crasta, Graziano; DE CICCO, Virginia; De Philippis, G.. - In: COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0360-5302. - STAMPA. - 40:(2015), pp. 694-726. [10.1080/03605302.2014.979998]
Kinetic formulation and uniqueness for scalar conservation laws with discontinuous flux
CRASTA, Graziano;DE CICCO, Virginia;
2015
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.File allegati a questo prodotto
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