We consider a non reactive multi component gas mixture.We pro- pose a class of models, which can be easily generalized to multiple species. The two species mixture is modelled by a system of kinetic BGK equations featuring two interaction terms to account for momentum and energy transfer between the species.We prove consistency of our model: conservation proper- ties, positivity of the solutions for the space homogeneous case, positivity of all temperatures, H-theorem and convergence to a global equilibrium in the space homogeneous case in the form of a global Maxwell distribution. Thus, we are able to derive the usual macroscopic conservation laws. In particular, by considering a mixture composed of ions and electrons, we derive the macroscopic equations of ideal MHD from our model.
|Data di pubblicazione:||2017|
|Titolo:||A consistent kinetic model for a two-component mixture with an application to plasma|
|Rivista:||KINETIC AND RELATED MODELS|
|Digital Object Identifier (DOI):||10.3934/krm.2017017|
|Codice identificativo ISI:||WOS:000390103500004|
|Codice identificativo Scopus:||2-s2.0-85010199514|
|Appare nelle tipologie:||Articolo su Rivista|