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
Shock reflection for general quasilinear hyperbolic systems of conservation laws
โ Scribed by Zhi-Qiang Shao; De-Xing Kong; Ya-Chun Li
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 435 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Communicated by M. Renardy A system of conservation laws admitting an additional convex conservation law can be written as a symmetric t-hyperbolic in the sense of Friedrichs system. However, in mathematical modeling of complex physical phenomena, it is customary to use non-conservative hyperbo
dedicated to professor jack k. hale on the occasion of his 70th birthday For a quasilinear hyperbolic system, we use the method of vanishing viscosity to construct shock solutions. The solution consists of two regular regions separated by a free boundary (shock). We use Melnikov's integral to obtain