Estimate of the time rate of entropy dissipation for systems of conservation laws

Michael Sever*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

A priori estimates for weak solutions of nonlinear systems of conservation laws remain in short supply. In this note we obtain an estimate of the rate of total entropy dissipation for initial/boundary value problems for such systems, of any dimension and in any number of space variables. The essential assumptions made are those of a strictly convex entropy density, an L estimate on the solution, and initial data of "bounded variation" as described here.

Original languageEnglish
Pages (from-to)127-141
Number of pages15
JournalJournal of Differential Equations
Volume130
Issue number1
DOIs
StatePublished - 1 Sep 1996

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