The Boltzmann equation with weakly inhomogeneous data in bounded domain

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Original languageEnglish
Pages (from-to)2038-2057
Journal / PublicationJournal of Functional Analysis
Issue number5
Publication statusPublished - 1 Mar 2017
Externally publishedYes


This paper is concerned with the Boltzmann equation with specular reflection boundary condition. We construct a unique global solution and obtain its large time asymptotic behavior in the case that the initial data is close enough to a radially symmetric homogeneous datum. The result extends the case of Cauchy problem considered by Arkeryd–Esposito–Pulvirenti [4] to the specular reflection boundary value problem in bounded domain.

Research Area(s)

  • L2−L∞ approach, Specular reflection boundary condition, Weakly inhomogeneous data

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