平面上的离散速度玻尔兹曼方程：一类通用方程的定常解
数学物理
2021-12-17 v2 math.MP
摘要
本文证明了平面上具有给定入射边界值的一类稠密离散速度玻尔兹曼方程重整化定常解的存在性。证明基于构造一列逼近序列，其对积分碰撞频率和增益项具有 L1 紧性。紧性利用 Kolmogorov-Riesz 定理获得。
引用
@article{arxiv.2101.11922,
title = {Discrete velocity Boltzmann eqations in the plane:stationary solutions for a generic class},
author = {L. Arkeryd and A. Nouri},
journal= {arXiv preprint arXiv:2101.11922},
year = {2021}
}
备注
The conditions in the new version are more general. The end of the proof in Section 4 is changed. The appendis is replace with a reference to the paper where those background results are proved