### The Stationary Boltzmann equation for a two-component gas in the slab with different molecular masses

Stéphane Brull

#### Abstract

The stationary Boltzmann equation for hard and soft forces in the context of a two-component gas is considered in the slab when the molecular masses of the two components are different. An $L^{1}$ existence theorem is proved when one component satisfies a given data profile and the other component satisfies diffuse reflection at the boundaries. Weak $L^{1}$ compactness is extracted from the control of the entropy production term of the mixture.

#### Article information

Source
Adv. Differential Equations, Volume 15, Number 11/12 (2010), 1103-1124.

Dates
First available in Project Euclid: 18 December 2012