On the Cauchy Problem for a Class of Hyperbolic Systems of Conservation Laws
β Scribed by H. Freistuhler
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 307 KB
- Volume
- 112
- Category
- Article
- ISSN
- 0022-0396
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## Abstract We present a family of centralβupwind schemes on general triangular grids for solving twoβdimensional systems of conservation laws. The new schemes enjoy the main advantages of the Godunovβtype central schemesβsimplicity, universality, and robustness and can be applied to problems with
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