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Initial Layers and Uniqueness of¶Weak Entropy Solutions to¶Hyperbolic Conservation Laws

✍ Scribed by Gui-Qiang Chen; Michel Rascle

Publisher
Springer
Year
2000
Tongue
English
Weight
109 KB
Volume
153
Category
Article
ISSN
0003-9527

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📜 SIMILAR VOLUMES

Uniqueness failure for entropy solutions
Uniqueness failure for entropy solutions of hyperbolic systems of conservation laws
✍ Michael Sever 📂 Article 📅 1989 🏛 John Wiley and Sons 🌐 English ⚖ 460 KB 👁 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: “Uniqueness failure for e
Correction to: “Uniqueness failure for entropy solutions of hyperbolic systems of conservation laws”
✍ Michael Sever 📂 Article 📅 1990 🏛 John Wiley and Sons 🌐 English ⚖ 112 KB 👁 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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Admissibility and uniqueness of weak solutions to hyperbolic systems of balance laws
✍ Witold Kosiński; B. Brosowski 📂 Article 📅 1989 🏛 John Wiley and Sons 🌐 English ⚖ 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