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MiS Preprint
60/2003

Minimal entropy conditions for Burgers equation

Camillo De Lellis, Felix Otto and Michael Westdickenberg

Abstract

We consider strictly convex, 1-d scalar conservation laws. We show that a single strictly convex entropy is sufficient to characterize a Kruzhkov solution. The proof uses the concept of viscosity solution for the related Hamilton-Jacobi equation.

Received:
Jul 10, 2003
Published:
Jul 10, 2003
MSC Codes:
35L65, 35L67
Keywords:
entropy solutions, entropy conditions, viscosity solutions

Related publications

inJournal
2004 Repository Open Access
Camillo De Lellis, Felix Otto and Michael Westdickenberg

Minimal entropy conditions for Burgers equation

In: Quarterly of applied mathematics, 62 (2004) 4, pp. 687-700