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Stationary Solutions to the Anderson--Witting Model of the Relativistic Boltzmann Equation in a Bounded Interval
SIAM Journal on Mathematical Analysis ( IF 2 ) Pub Date : 2021-01-27 , DOI: 10.1137/20m1331378
Byung-Hoon Hwang , Seok-Bae Yun

SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 730-753, January 2021.
The Anderson--Witting model is a relativistic generalization of the Bhatnagar--Gross--Krook model which is well-known as the relaxation-time approximation of the celebrated Boltzmann equation. In this paper, we address the stationary boundary value problems to the Anderson--Witting model in slab geometry. We prove the existence of unique stationary solution to the boundary value problem of the Anderson--Witting model in a bounded interval with the inflow boundary data when the gas is sufficiently rarefied.


中文翻译:

有限区间内相对论玻耳兹曼方程的安德森固定模型的平稳解

SIAM数学分析杂志,第53卷,第1期,第730-753页,2021
年1月。Anderson-Witting模型是Bhatnagar-Gross-Krook模型的相对论概括,众所周知,它是松弛时间。著名的玻尔兹曼方程的近似。在本文中,我们针对平板几何中的Anderson-Witting模型解决了固定边值问题。当气体被充分稀疏时,我们用流入边界数据在有界区间内证明了对Anderson-Witting模型的边值问题的唯一平稳解的存在。
更新日期:2021-01-28
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