Compactness of Solutions for Scalar Viscous Conservation Laws in Noncylindrical Domains

Authors

  • W. Neves

DOI:

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

Abstract

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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Published

2003-06-01

How to Cite

Neves, W. (2003). Compactness of Solutions for Scalar Viscous Conservation Laws in Noncylindrical Domains. Trends in Computational and Applied Mathematics, 4(3), 347–356. https://doi.org/10.5540/tema.2003.04.03.0347

Issue

Vol. 4 No. 3 (2003)

Section

Original Article

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