English

Rarefied gas dynamics with external fields under specular reflection boundary condition

Analysis of PDEs 2020-06-24 v1

Abstract

We consider the Boltzmann equation with external fields in strictly convex domains with the specular reflection boundary condition. We construct classical C1C^1 solutions away from the grazing set under the assumption that the external field is C2C^2 and the normal derivative of the field is positive and bounded away from 00.

Keywords

Cite

@article{arxiv.2006.13000,
  title  = {Rarefied gas dynamics with external fields under specular reflection boundary condition},
  author = {Yunbai Cao},
  journal= {arXiv preprint arXiv:2006.13000},
  year   = {2020}
}

Comments

arXiv admin note: text overlap with arXiv:1212.1694 by other authors

R2 v1 2026-06-23T16:33:23.118Z