The Stationary Boltzmann equation for a two component gas in the slab with di erent molecular masses.

Stéphane Brull (1)

1 IMB - Institut de Mathématiques de Bordeaux

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 2 component are different. An L1 existence theorem is proved when one component satisfies a given indata profile and the other component satisfies diffuse re ection at the boundaries. Weak L1 compactness is extracted from the control of the entropy production term of the mixture.

Domaines: Equations aux dérivées partielles [math.AP]

Stéphane Brull. The Stationary Boltzmann equation for a two component gas in the slab with di erent molecular masses.. Advances in Differential Equations, 2010, 15, pp.63-74. ⟨hal-01017156⟩