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Minimal entropy conditions for Burgers equation

  • De Lellis C
  • Otto F
  • Westdickenberg M
Quarterly of Applied Mathematics (2004) 62(4) 687-700
DOI: 10.1090/qam/2104269
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Abstract

We consider uniformly convex, 1 − d 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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De Lellis, C., Otto, F., & Westdickenberg, M. (2004). Minimal entropy conditions for Burgers equation. Quarterly of Applied Mathematics, 62(4), 687–700. https://doi.org/10.1090/qam/2104269

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