Stability of Discrete Shocks for Difference Approximations to Systems of Conservation Laws
โ Scribed by Michelson, Daniel
- Book ID
- 118190262
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2002
- Tongue
- English
- Weight
- 432 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0036-1429
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๐ SIMILAR VOLUMES
The existence of semi-discrete shock profiles for a general hyperbolic system of conservation laws is proved. Such profiles are regarded as heteroclinic orbits of a retarded functional differential equation (RFDE). The proof relies on the Hale center manifold theorem and holds for shocks of small st
ln this paper, we discuss the semi-discrete FourieT spectral approximation for Lnfmite din~naional Hp, rniltonian systems and pay more attention to the Harniltonian structure. In this manner we consider furthe~ its preset"ration of conservation laws of the original Hamiltonian systems.