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

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

2009-10-07

arxiv.org/abs/0910.1168v1

Mathematics

Analysis of PDEs

Scientific paper

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 $L^{1}$ existence theorem is proved when one component satisfies a given indata 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.

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