A general consistent BGK model for gas mixtures

Alexander V. Bobylev; Marzia Bisi; Maria Groppi; Giampiero Spiga; Irina F. Potapenko

doi:10.3934/krm.2018054

Article Contents

2018, Volume 11, Issue 6: 1377-1393. Doi: 10.3934/krm.2018054

This issue Previous Article On the convergence to critical scaling profiles in submonolayer deposition models Next Article Numerical study of an anisotropic Vlasov equation arising in plasma physics

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
* Corresponding author: G. Spiga

Received: August 31, 2017

Revised: November 30, 2017

Published: June 2018

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Abstract

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.

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Mathematics Subject Classification: Primary: 76P05; Secondary: 82C40.

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References

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