Journal of Statistical Physics

, Volume 106, Issue 5, pp 993–1018

A Consistent BGK-Type Model for Gas Mixtures


  • Pierre Andries
    • Domaine de VoluceauINRIA
  • Kazuo Aoki
    • Department of Aeronautics and Astronautics, Graduate School of EngineeringKyoto University
  • Benoit Perthame
    • DMAEcole Normale Supérieure

DOI: 10.1023/A:1014033703134

Cite this article as:
Andries, P., Aoki, K. & Perthame, B. Journal of Statistical Physics (2002) 106: 993. doi:10.1023/A:1014033703134


We introduce a relaxation collision operator for a mixture of gases which satisfies several fundamental properties. Different BGK type collision operators for gas mixtures have been introduced earlier but none of them could satisfy all the basic physical properties: positivity, correct exchange coefficients, entropy inequality, indifferentiability principle. We show that all those properties are verified for our model, and we derive its Navier–Stokes limit by a Chapman–Enskog expansion.

kinetic theorygas mixturesBGK-type modelsentropyChapman–Enskog expansion

Copyright information

© Plenum Publishing Corporation 2002