Kinetic formulation and uniqueness for scalar conservation laws with discontinuous flux
Analysis of PDEs
2015-12-10 v2
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.
Keywords
Cite
@article{arxiv.1404.5837,
title = {Kinetic formulation and uniqueness for scalar conservation laws with discontinuous flux},
author = {Graziano Crasta and Virginia De Cicco and Guido De Philippis},
journal= {arXiv preprint arXiv:1404.5837},
year = {2015}
}
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31 pages