A variational formulation of symmetric systems of conservation laws

Michael Sever*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

Systems of conservation laws admitting an entropy obtain from a simple variational principle. This approach leads to a simplified treatment of a symmetry group for such systems, and to a simplified proof of the equivalence of systems obtained by a change of coordinates. The case of systems which are hyperbolic, in the sense of a convex extensions, is identified with local extremum values of corresponding functionals.

Original languageEnglish
Pages (from-to)561-573
Number of pages13
JournalHouston Journal of Mathematics
Volume26
Issue number3
StatePublished - 2000

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