On the Existence of solutions for Stationary Linearized Boltzmann Equations in a Small Convex Domain

IK Chen, PH Chuang, CH Hsia, D Kawagoe… - arXiv preprint arXiv …, 2023 - arxiv.org
In this article, we investigate the incoming boundary value problem for the stationary
linearized Boltzmann equations in $\Omega\subseteq\mathbb {R}^{3} $. For a $ C^ 2 …

[HTML][HTML] Regularity for diffuse reflection boundary problem to the stationary linearized Boltzmann equation in a convex domain

IK Chen, CH Hsia, D Kawagoe - Annales de l'Institut Henri Poincaré C …, 2019 - Elsevier
We investigate the regularity issue for the diffuse reflection boundary problem to the
stationary linearized Boltzmann equation for hard sphere potential, cutoff hard potential, or …

A revisit of the velocity averaging lemma: on the regularity of stationary Boltzmann equation in a bounded convex domain

IK Chen, PH Chuang, CH Hsia, JK Su - Journal of Statistical Physics, 2022 - Springer
In the present work, we adopt the idea of velocity averaging lemma to establish regularity for
stationary linearized Boltzmann equations in a bounded convex domain. Considering the …

Regularity of solutions of the steady linearized Boltzmann equation with soft potentials

KC Wu, KH Wang - arXiv preprint arXiv:2409.12513, 2024 - arxiv.org
We consider the H\" older regularity of solutions to the steady Boltzmann equation with in-
flow boundary condition in bounded and strictly convex domains $\Omega\subset\mathbb …

Geometric effects on regularity of the stationary linearized Boltzmann equation

IK Chen, CH Hsia, D Kawagoe, JK Su - arXiv preprint arXiv:2311.12387, 2023 - arxiv.org
We study the incoming boundary value problem for the stationary linearized Boltzmann
equation in bounded convex domains. The geometry of the domain has a dramatic effect on …

Regularity of stationary solutions to the linearized Boltzmann equations

IK Chen - SIAM Journal on Mathematical Analysis, 2018 - SIAM
We consider the regularity of stationary solutions to the linearized Boltzmann equations in
bounded C^1 convex domains in R^3 for gases with cutoff hard potential and cutoff …

波茲曼方程及其邊界奇點綜述

馮晉知 - 2022 - tdr.lib.ntu.edu.tw
波茲曼方程是描述熱力學系統演化的重要數學模型. 數學家已將其廣泛應用在各個科學領域,
並對其進行了許多的研究. 在本文中, 我們回顧了波茲曼方程碰撞算子的性質 …

Singular Behavior of the Macroscopic Quantity Near the Boundary for a Lorentz-Gas Model with the Infinite-Range Potential

S Takata, M Hattori - Journal of Statistical Physics, 2022 - Springer
Possibility of the diverging gradient of the macroscopic quantity near the boundary is
investigated by a mono-speed Lorentz-gas model, with a special attention to the regularizing …