The initial layer for Rayleigh problem

Hung-Wen Kuo

doi:10.3934/dcdsb.2011.15.137

The initial layer for Rayleigh problem

Hung-Wen Kuo

Department of Mathematics

Research output: Contribution to journal › Article

2 Citations (Scopus)

Abstract

Rayleigh's problem of an infinite flat plate set into uniform motion impulsively in its own plane is studied by using the BKW model, the linearized Boltzmann equation and the full Boltzmann equation, respectively. The purpose is to study the gas motion under the diffuse reflection boundary condition. For a small impulsive velocity (small Mach number) and short time, the flow behaves like a free molecule flow. Our analysis is based on certain pointwise estimates for the solution of the problem and flow velocity.

Original language	English
Pages (from-to)	137-170
Number of pages	34
Journal	Discrete and Continuous Dynamical Systems - Series B
Volume	15
Issue number	1
DOIs	https://doi.org/10.3934/dcdsb.2011.15.137
Publication status	Published - 2011 Jan 1

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All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics
Applied Mathematics

Cite this

Kuo, H-W. (2011). The initial layer for Rayleigh problem. Discrete and Continuous Dynamical Systems - Series B, 15(1), 137-170. https://doi.org/10.3934/dcdsb.2011.15.137

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Access to Document

10.3934/dcdsb.2011.15.137