Existence of boundary layers to the Boltzmann equation with cutoff soft potentials

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Original languageEnglish
Article number73304
Journal / PublicationJournal of Mathematical Physics
Volume48
Issue number7
Publication statusPublished - 2007

Abstract

When the Boltzmann equation is used to study a physical problem with boundary, there usually exists a layer of the width in the order of the Knudsen number along the boundary. There have been extensive studies on the existence and stability of boundary layers to the Boltzmann equation in different physical settings. Based on the previous work, in this paper, we consider the existence of boundary layer solutions to the Boltzmann equation for the cutoff soft potentials when its parameter γ satisfying -2