The initial layer for Rayleigh problem

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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.

Original languageEnglish
Pages (from-to)137-170
Number of pages34
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume15
Issue number1
DOIs
Publication statusPublished - 2011 Jan 1

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All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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