  A mathematical model is proposed where the classical Maxwell-Stefan diffusion
model for gas mixtures is coupled to an advection-type equation for the
temperature of the physical system. This coupled system is derived from first
principles in the sense that the starting point of our analysis is a system of
Boltzmann equations for gaseous mixtures. We perform an asymptotic analysis on
the Boltzmann model under diffuse scaling to arrive at the proposed coupled
system.
