BV-regularity of the Boltzmann equation in Non-Convex Domains
Analysis of PDEs
2018-09-11 v1
Abstract
Consider the Boltzmann equation in a general non-convex domain with the diffuse boundary condition. We establish optimal BV estimates for such solutions. Our method consists of a new trace estimate for the diffuse boundary condition and a delicate construction of and an tubular neighborhood of the singular set.
Keywords
Cite
@article{arxiv.1409.0160,
title = {BV-regularity of the Boltzmann equation in Non-Convex Domains},
author = {Yan Guo and Chanwoo Kim and Daniela Tonon and Ariane Trescases},
journal= {arXiv preprint arXiv:1409.0160},
year = {2018}
}
Comments
45 pages, submitted