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

Weike Wang; Tong Yang; Xiongfeng Yang

doi:10.1063/1.2751279

Author(s)

Weike Wang
Tong Yang
Xiongfeng Yang

Related Research Unit(s)

Department of Mathematics

Detail(s)

Original language	English
Article number	73304
Journal / Publication	Journal of Mathematical Physics
Volume	48
Issue number	7
Publication status	Published - 2007

Link(s)

DOI	DOI https://doi.org/10.1063/1.2751279 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-34547644070&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(f91c9e31-281e-473c-a8ce-1b8c0a67ac14).html

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

Citation Format(s)

[ RIS ] [ BibTeX ]

Existence of boundary layers to the Boltzmann equation with cutoff soft potentials. / Wang, Weike; Yang, Tong; Yang, Xiongfeng.
In: Journal of Mathematical Physics, Vol. 48, No. 7, 73304, 2007.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Wang, W, Yang, T & Yang, X 2007, 'Existence of boundary layers to the Boltzmann equation with cutoff soft potentials', Journal of Mathematical Physics, vol. 48, no. 7, 73304. https://doi.org/10.1063/1.2751279

Wang, W., Yang, T., & Yang, X. (2007). Existence of boundary layers to the Boltzmann equation with cutoff soft potentials. Journal of Mathematical Physics, 48(7), Article 73304. https://doi.org/10.1063/1.2751279

Wang W, Yang T, Yang X. Existence of boundary layers to the Boltzmann equation with cutoff soft potentials. Journal of Mathematical Physics. 2007;48(7):73304. doi: 10.1063/1.2751279

Wang, Weike ; Yang, Tong ; Yang, Xiongfeng. / Existence of boundary layers to the Boltzmann equation with cutoff soft potentials. In: Journal of Mathematical Physics. 2007 ; Vol. 48, No. 7.