Uniqueness failure for entropy solutions of hyperbolic systems of conservation laws

Michael Sever*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

We consider a nonlinear system of conservation laws, which is strictly hyperbolic, genuinely nonlinear in the large, equipped with a convex entropy function and global Riemann invariants. Nevertheless, for such a system for dimension five, it is shown that uniqueness of the similarity solution of a Riemann problem satisfying the entropy condition can fail.

Original languageEnglish
Pages (from-to)173-183
Number of pages11
JournalCommunications on Pure and Applied Mathematics
Volume42
Issue number2
DOIs
StatePublished - Mar 1989

Fingerprint

Dive into the research topics of 'Uniqueness failure for entropy solutions of hyperbolic systems of conservation laws'. Together they form a unique fingerprint.

Cite this