The Boltzmann equation with non-isothermal Maxwell boundary conditions
Analysis of PDEs
2026-04-16 v1
Abstract
In this paper, we study the Boltzmann equation in a close to the hydrodynamic limit regime, set in bounded spatial domains with non-isothermal Maxwell boundary conditions. We establish the existence, uniqueness, and asymptotic stability of a non-equilibrium steady state under suitable smallness assumption on the temperature fluctuations at the boundary.
Keywords
Cite
@article{arxiv.2604.13572,
title = {The Boltzmann equation with non-isothermal Maxwell boundary conditions},
author = {R Medina},
journal= {arXiv preprint arXiv:2604.13572},
year = {2026}
}