Macroscopic estimate of the linear Boltzmann and Landau equations with Specular reflection boundary
Analysis of PDEs
2024-01-08 v4
Abstract
In this short note, we prove an -control of the macroscopic part of the linear Boltzmann and Landau equations. This result is an extension of the test function method of Esposito-Guo-Kim-Marra~\cite{EGKM}\cite{EGKM2} to the specular reflection boundary condition, in which we crucially used the Korn's inequality \cite{DV2} and the system of symmetric Poisson equations \cite{Bernou}.
Keywords
Cite
@article{arxiv.2307.11693,
title = {Macroscopic estimate of the linear Boltzmann and Landau equations with Specular reflection boundary},
author = {Hongxu Chen and Chanwoo Kim},
journal= {arXiv preprint arXiv:2307.11693},
year = {2024}
}