Compactness of Solutions for Scalar Viscous Conservation Laws in Noncylindrical Domains

W. Neves

Resumo


We utilize the kinetic formulation approach to study the compactness property for the family {u"}">0, solutions of the initial-boundary value problem for the scalar viscous conservation law u" t + divxf(u") = "xu" in a noncylindrical domain. Considering f in C3 and satisfying the non-degeneracy condition, we prove that u" is compact in L1loc.

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Referências


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DOI: https://doi.org/10.5540/tema.2003.04.03.0347

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Trends in Computational and Applied Mathematics

A publication of the Brazilian Society of  Applied and Computational Mathematics (SBMAC)

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