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
Limit relations for three simple hyperbolic systems of conservation laws
โ Scribed by Chun Shen; Meina Sun; Zhen Wang
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 296 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1248
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๐ SIMILAR VOLUMES
## Abstract We present a family of centralโupwind schemes on general triangular grids for solving twoโdimensional systems of conservation laws. The new schemes enjoy the main advantages of the Godunovโtype central schemesโsimplicity, universality, and robustness and can be applied to problems with
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