The initial layer for Rayleigh problem

Hung-Wen Kuo

doi:10.3934/dcdsb.2011.15.137

Article Contents

2011, Volume 15, Issue 1: 137-170. Doi: 10.3934/dcdsb.2011.15.137

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The initial layer for Rayleigh problem

Hung-Wen Kuo^1,

1.
Department of Mathematics, National Taiwan University, Taipei 106

Received: July 31, 2009

Revised: June 30, 2010

Published: June 2011

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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.

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Mathematics Subject Classification: Primary: 76P05; Secondary: 45K05, 82C40.

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References

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