A system of the Hamilton-Jacobi and the continuity equations in the vanishing viscosity limit

DOI10.3934/CPAA.2011.10.479zbMath1234.35069OpenAlexW2314951283MaRDI QIDQ651978

Thomas Strömberg

Publication date: 19 December 2011

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2011.10.479

zbMATH Keywords

Hamilton-Jacobi equationviscosity solutioncontinuity equationvanishing viscositymeasure solution

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Singular perturbations in context of PDEs (35B25) PDEs with low regular coefficients and/or low regular data (35R05) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21) Initial value problems for systems of nonlinear first-order PDEs (35F55)

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