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Shock waves in conservation laws with physical viscosity /
We study the perturbation of a shock wave in conservation laws with physical viscosity. We obtain the detailed pointwise estimates of the solutions. In particular, we show that the solution converges to a translated shock profile. The strength of the perturbation and that of the shock are assumed to...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2015.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 1105. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Introduction
- Preliminaries
- Green's functions for systems with constant coefficients
- Green's function for systems linearized along shock profiles
- Estimates on green's function
- Estimates on crossing of initial layer
- Estimates on truncation error
- Energy type estimates
- Wave interaction
- Stability analysis
- Application to magnetohydrodynamics.