Communications in Mathematical Sciences

Volume 12 (2014)

Number 7

Derivation of a BGK model for reacting gas mixtures

Pages: 1199 – 1223



Stéphane Brull (Institut de Mathématiques de Bordeaux, UMR 5251, Talence, France)

Jacques Schneider (Université de Toulon, IMATH, EA 2134, La Garde, France)


In this paper we derive a new relaxation model for reacting gas mixtures. We prove that this model satisfies the fundamental properties (equilibrium states, conservation laws, H-theorem, …). We also consider the slow reaction regime. In this case a rigorous Chapman-Enskog procedure is performed and Navier-Stokes equations are derived.


kinetic theory, gas mixtures, BGK models, entropy minimization, hydrodynamic limit

2010 Mathematics Subject Classification

35Q20, 35Q35

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