Minimal entropy conditions for Burgers equation

De Lellis, C; Otto, F; Westdickenberg, M (2004). Minimal entropy conditions for Burgers equation. Quarterly of Applied Mathematics, 62(4):687-700.

Abstract

We consider stricly 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.

Abstract

We consider stricly 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.

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