𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A uniqueness condition for hyperbolic systems of conservation laws

✍ Scribed by Lewicka, Marta; Bressan, Alberto

Book ID
125860461
Publisher
American Institute of Mathematical Sciences
Year
2000
Tongue
English
Weight
203 KB
Volume
6
Category
Article
ISSN
1078-0947

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

Existence and uniqueness of solutions fo
Existence and uniqueness of solutions for some hyperbolic systems of conservation laws
✍ Arnaud Heibig πŸ“‚ Article πŸ“… 1994 πŸ› Springer 🌐 English βš– 1018 KB

We study the Cauchy problem for systems of conservation laws which belong to the Temple class. The compensated-compactness theory is used to prove existence of solutions. Some uniqueness results are established by means of Holmgren's principle.

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