Minimal entropy conditions for Burgers equation

De Lellis, Camillo; Otto, Felix; Westdickenberg, Michael

doi:10.1090/qam/2104269

Authors: Camillo De Lellis, Felix Otto and Michael Westdickenberg
Journal: Quart. Appl. Math. 62 (2004), 687-700
MSC: Primary 35L65; Secondary 35L45, 35L60, 35L67, 35Q53
DOI: https://doi.org/10.1090/qam/2104269
MathSciNet review: MR2104269
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Abstract: We consider uniformly convex, $1 - d$ scalar conservation laws. We show that a single uniformly convex entropy is sufficient to characterize a Kruzhkov solution. The proof uses the concept of viscosity solution for the related Hamilton-Jacobi equation.

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