Boltzmann方程镜面边界条件的边界层解
偏微分方程分析
2020-08-18 v1
摘要
在本文中，我们建立了半空间中具有镜面边界条件的Boltzmann方程稳态边界层解在L^2_{x,v}\cap L^\infty_{x,v}中的存在性。获得了该解的唯一性、连续性和指数衰减，并且此类估计对证明具有镜面边界条件的半空间问题Boltzmann方程的Hilbert展开十分重要。
引用
@article{arxiv.2008.06621,
title = {Boundary layer solution of the Boltzmann equation for specular boundary condition},
author = {Feimin Huang and Zaihong Jiang and Yong Wang},
journal= {arXiv preprint arXiv:2008.06621},
year = {2020}
}
备注
28 pages, Comments are welcome. arXiv admin note: text overlap with arXiv:1807.05700