The Maxwell-Stefan diffusion limit for a kinetic model of mixtures

Laurent Boudin (1, 2) , Bérénice Grec (3) , Francesco Salvarani (4)

1 LJLL - Laboratoire Jacques-Louis Lions
2 REO - Numerical simulation of biological flows
3 MAP5 - UMR 8145 - Mathématiques Appliquées Paris 5
4 Dipartimento di matematica F. Casorati

We consider the non-reactive fully elastic Boltzmann equation for mixtures. We deduce that, under the standard diffusive scaling, its limit for vanishing Mach and Knudsen numbers is the Maxwell-Stefan model for a multicomponent gaseous mixture.

Keywords: Gaseous mixture; Boltzmann equations; Diffusion limit; Maxwell-Stefan equations

Domains: Analysis of PDEs [math.AP]

Laurent Boudin, Bérénice Grec, Francesco Salvarani. The Maxwell-Stefan diffusion limit for a kinetic model of mixtures. Acta Applicandae Mathematicae, 2015, 136 (1), pp.79-90. ⟨10.1007/s10440-014-9886-z⟩. ⟨hal-00554744v2⟩