A CONSISTENT KINETIC MODEL FOR A TWO-COMPONENT MIXTURE WITH AN APPLICATION TO PLASMA

作者：Klingenberg Christian^*; Pirner Marlies; Puppo Gabriella

来源：Kinetic and Related Models, 2017, 10(2): 445-465.

DOI：10.3934/krm.2017017

• Multi-fluid mixture
• kinetic model
• BGK approximation
• plasma flow

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.

• 出版日期2017-6