# American Institute of Mathematical Sciences

December  2018, 11(6): 1377-1393. doi: 10.3934/krm.2018054

## A general consistent BGK model for gas mixtures

 1 Keldysh Applied Mathematics Institute, Russian Academy of Sciences, Miusskaya Sq. 4, RU-125047 Moscow, Russia 2 Dip. di Scienze Matematiche, Fisiche e Informatiche, Università di Parma, Parco Area delle Scienze 53/A, I-43124 Parma, Italy 3 Keldysh Applied Mathematics Institute, Russian Academy of Sciences, Miusskaya Sq. 4, RU-125047 Moscow, Russia

* Corresponding author: G. Spiga

Received  September 2017 Revised  December 2017 Published  June 2018

We propose a kinetic model of BGK type for a gas mixture of an arbitrary number of species with arbitrary collision law. The model features the same structure of the corresponding Boltzmann equations and fulfils all consistency requirements concerning conservation laws, equilibria, and H-theorem. Comparison is made to existing BGK models for mixtures, and the achieved improvements are commented on. Finally, possible application to the case of Coulomb interaction is briefly discussed.

Citation: Alexander V. Bobylev, Marzia Bisi, Maria Groppi, Giampiero Spiga, Irina F. Potapenko. A general consistent BGK model for gas mixtures. Kinetic & Related Models, 2018, 11 (6) : 1377-1393. doi: 10.3934/krm.2018054
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