Global BV Entropy Solutions and Uniqueness for Hyperbolic Systems of Balance Laws
β Scribed by Debora Amadori; Laurent Gosse; Graziano Guerra
- Publisher
- Springer
- Year
- 2002
- Tongue
- English
- Weight
- 277 KB
- Volume
- 162
- Category
- Article
- ISSN
- 0003-9527
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π SIMILAR VOLUMES
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
## 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
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