The Boltzmann equation with weakly inhomogeneous data in bounded domain

摘要

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. (C) 2016 Elsevier Inc. All rights reserved.