Kinetic shock profiles for nonlinear hyperbolic conservation laws
- Carlota María Cuesta Romero
- S. Hittmeir
- C. Schmeiser
ISSN: 2284-2578, 0035-6298
Año de publicación: 2009
Volumen: 1
Páginas: 139-198
Tipo: Artículo
Otras publicaciones en: Rivista di Matematica della Università di Parma
Resumen
A unified framework for studying the existence and stability of kinetic shock profiles is presented. This includes small amplitude waves for the situation when the macroscopic model is a hyperbolic system of conservation laws with genuine nonlinearity. For the case of scalar conservation laws, also large amplitude waves can be understood. Applications range from BGK-models for general scalar conservation laws and for gas dynamics, to an equation for fermions in a scattering background under the action of an electric field and to the Boltzmann equation of gas dynamics.