Uniqueness failure for entropy solutions of hyperbolic systems of conservation laws. (English) Zbl 0645.35063

Sever, Michael

Commun. Pure Appl. Math. 42, No. 2, 173-183 (1989).

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 function of dimension five, it is shown that uniqueness of the similarity solution of a Riemann problem satisfying the entropy condition can fail.

Reviewer: M.Sever

MSC:

35L65	Hyperbolic conservation laws
35A05	General existence and uniqueness theorems (PDE) (MSC2000)

Keywords:

conservation laws; strictly hyperbolic; convex entropy function; global Riemann invariants; uniqueness; similarity solution

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