The Boltzmann equation with specular boundary condition in convex domains
Analysis of PDEs
2018-01-23 v4
Abstract
We establish the global-wellposedness and stability of the Boltzmann equation with the specular reflection boundary condition in general smooth convex domains when an initial datum is close to the Maxwellian with or without a small external potential. In particular, we have completely solved the long standing open problem after an announcement of [20] in 1977.
Keywords
Cite
@article{arxiv.1604.04342,
title = {The Boltzmann equation with specular boundary condition in convex domains},
author = {Chanwoo Kim and Donghyun Lee},
journal= {arXiv preprint arXiv:1604.04342},
year = {2018}
}
Comments
accepted in Comm. Pure Appl. Math