STATIONARY SOLUTIONS TO THE ANDERSON-WITTING MODEL OF THE RELATIVISTIC BOLTZMANN EQUATION IN A BOUNDED INTERVAL

被引：6

作者：

Hwang, Byung-Hoon ^{[1
]}

Yun, Seok-Bae ^{[1
]}

机构：

[1] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2021年 / 53卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

kinetic theory of gases; relativistic Boltzmann equation; relativistic BGK model; Anderson-Witting model; boundary value problem; stationary solution; ASYMPTOTIC STABILITY; GLOBAL EXISTENCE; NEWTONIAN LIMIT; 2-COMPONENT GAS; BGK MODEL; REGULARITY; EQUILIBRIUM; GAIN; SLAB;

D O I：

10.1137/20M1331378

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：730 / 753

页数：24

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