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

2009/10/07 by Brull, Stéphane
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.0910.1168

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

Related

• Stationary Boltzmann Equation for Polyatomic Gases in a slab
• Boltzmann framework for polyatomic gases: review on well-posedness, higher integrability and physical relevance
• Stationary solutions to the relativistic BGK model for gas mixtures in a slab
• Boltzmann equation with mixed boundary condition
• Global existence for an isotropic modification of the Boltzmann equation