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Uniqueness failure for entropy solutions of hyperbolic systems of conservation laws

✍ Scribed by Michael Sever

Publisher
John Wiley and Sons
Year
1989
Tongue
English
Weight
460 KB
Volume
42
Category
Article
ISSN
0010-3640

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✦ Synopsis

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

πŸ“œ SIMILAR VOLUMES

Correction to: β€œUniqueness failure for e
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✍ Michael Sever πŸ“‚ Article πŸ“… 1990 πŸ› John Wiley and Sons 🌐 English βš– 112 KB πŸ‘ 1 views

The proof of Theorem 4.1 requires correction. The theorem is correct as stated, and the basic method of proof is valid. Only the method for making det A' negative is erroneous. Before giving the details, we make several general comments. The linear transformation (in particular valid for weak solu

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