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Uniqueness of Weak Solutions to Systems of Conservation Laws

✍ Scribed by Alberto Bressan; Philippe LeFloch


Publisher
Springer
Year
1997
Tongue
English
Weight
275 KB
Volume
140
Category
Article
ISSN
0003-9527

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πŸ“œ SIMILAR VOLUMES


Admissibility and uniqueness of weak sol
✍ Witold KosiΕ„ski; B. Brosowski πŸ“‚ Article πŸ“… 1989 πŸ› John Wiley and Sons 🌐 English βš– 836 KB

## Communicated by B. Brosowski A system of quasi-linear fint-order equations written in the divergence form and constrained by the unilateral differential inequality (the second law of thermodynamics) with a strictly m m v e entropy function is analysed. In the class BV, i.e. a subset of regular

Correction to: β€œUniqueness failure for e
✍ 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

Uniqueness failure for entropy solutions
✍ Michael Sever πŸ“‚ Article πŸ“… 1989 πŸ› John Wiley and Sons 🌐 English βš– 460 KB πŸ‘ 1 views

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 R