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- Title
A CONSISTENT KINETIC MODEL FOR A TWO-COMPONENT MIXTURE WITH AN APPLICATION TO PLASMA.
- Authors
KLINGENBERG, CHRISTIAN; PIRNER, MARLIES; PUPPO, GABRIELLA
- Abstract
We consider a non reactive multi component gas mixture. We propose 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 properties, 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.
- Subjects
GAS mixtures; MOMENTUM (Mechanics); ENERGY transfer; H-Theorem; EQUILIBRIUM; MAXWELL-Boltzmann distribution law
- Publication
Kinetic & Related Models, 2017, Vol 10, Issue 2, p445
- ISSN
1937-5093
- Publication type
Article
- DOI
10.3934/krm.2017017