Compactness of Solutions for Scalar Viscous Conservation Laws in Noncylindrical Domains
DOI:
https://doi.org/10.5540/tema.2003.04.03.0347Abstract
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.References
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