Minimization solutions to conservation laws with non-smooth and non-strictly convex flux

Conservation laws are usually studied in the context of suffcient regularity conditionsimposed on the flux function, usually C<sup>2</sup> and uniform convexity. Some results are proven with theaid of variational methods and a unique minimizer such as Hopf-Lax and Lax-Oleinik. We show th...

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Bibliographic Details
Main Author: Carey Caginalp
Format: Article
Language:English
Published: AIMS Press 2018-03-01
Series:AIMS Mathematics
Subjects:
Online Access:http://www.aimspress.com/article/10.3934/Math.2018.1.96/fulltext.html