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

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)
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