Existence and stability of a multidimensional scalar conservation law with discontinuous flux

We prove the existence and stability of an entropy solution to amultidimensional scalar conservation law with discontinuous fluxwith no genuine nonlinearity assumptions. The proof is based on thecorresponding kinetic formulation of the equation underconsideration and a 'smart' change of an...

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Bibliographic Details
Published in:Networks and Heterogeneous Media
Main Author: Darko Mitrovic
Format: Article
Language:English
Published: AIMS Press 2010-02-01
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/nhm.2010.5.163