𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the existence, uniqueness and stability of entropy solutions to scalar conservation laws

✍ Scribed by Dmitry Golovaty; Truyen Nguyen

Book ID
113699456
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
385 KB
Volume
253
Category
Article
ISSN
0022-0396

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Uniqueness failure for entropy solutions
Uniqueness failure for entropy solutions of hyperbolic systems of conservation laws
✍ 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

Correction to: β€œUniqueness failure for e
Correction to: β€œUniqueness failure for entropy solutions of hyperbolic systems of conservation laws”
✍ 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