The Boltzmann equation with weakly inhomogeneous data in bounded domain
Analysis of PDEs
2016-04-21 v1
Abstract
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 [Comm. Math. Phys. 111(3): 393-407 (1987)] to the specular reflection boundary value problem in bounded domain.
Cite
@article{arxiv.1604.05760,
title = {The Boltzmann equation with weakly inhomogeneous data in bounded domain},
author = {Yan Guo and Shuangqian Liu},
journal= {arXiv preprint arXiv:1604.05760},
year = {2016}
}
Comments
14 pages, submitted