Jacques Schneider

Approximation simultanée de réels par des nombres rationnels et noyau de collision de l'équation de Boltzmann

Keywords: collision kernel ; simultaneous approximation of real numbers by rational numbers ; integral of collision ; Boltzmann equation Reference TAN-ARTICLE-2000-006doi:10.1016/S0764-4442(00)00258-5 Record created on 2008-11-14, modified on 2017-05-12

A BGK model for gas mixtures

We present a new relaxation model for gas mixtures introduced in a previous paper. This model is able to fit transport coefficients of the true Navier-Stokes equations given by the hydrodynamical limit of the Boltzmann equation(s). Here the same hydrodynamical limit is obtained by introducing relaxation coefficients on certain moments of the distribution functions. Next the whole model is set by using entropy minimization under moments constraints. In the present case the BGK operator allows to recover the exact Fick and Newton laws and satisfy the classical fundamental properties of the Boltzmann equations for inert gas mixtures.