Derivation of a BGK model for reacting gas mixtures

Stéphane Brull (1) , Jacques Schneider (2, 1)

1 IMB - Institut de Mathématiques de Bordeaux
2 UTLN - Université de Toulon

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.

Mots clés: Kinetic theory; gas mixtures; BGK models; entropy minimization; hydrodynamic limit

Domaines: Equations aux dérivées partielles [math.AP]; Chimie théorique et/ou physique

Stéphane Brull, Jacques Schneider. Derivation of a BGK model for reacting gas mixtures. Communications in Mathematical Sciences, 2014, 12 (7), pp.1199-1223. ⟨10.4310/CMS.2014.v12.n7.a2⟩. ⟨hal-01443080⟩