STATIONARY SOLUTIONS TO THE BOUNDARY VALUE PROBLEM FOR THE RELATIVISTIC BGK MODEL IN A SLAB

Hwang Byung-Hoon; Yun Seok-Bae

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STATIONARY SOLUTIONS TO THE BOUNDARY VALUE PROBLEM FOR THE RELATIVISTIC BGK MODEL IN A SLAB

机译：板坯中相对论BGK模型的边值问题的固定解

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摘要

In this paper, we are concerned with the boundary value problem in a slab for the stationary relativistic BGK model of Marle type, which is a relaxation model of the relativistic Boltzmann equation. In the case of fixed inflow boundary conditions, we establish the existence of unique stationary solutions.

机译：在本文中，我们涉及用于静止的帆船类型的静止相对论BGK模型的板坯中的边值问题，这是相对论Boltzmann方程的弛豫模型。在固定流入边界条件的情况下，我们建立了独特的静止解决方案的存在。

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来源
《Kinetic & related models》 |2019年第4期|共16页
作者
Hwang Byung-Hoon; Yun Seok-Bae;
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作者单位

Sungkyunkwan Univ Dept Math Suwon 440746 South Korea;

Sungkyunkwan Univ Dept Math Suwon 440746 South Korea;

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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Relativistic BGK model; relativistic Boltzmann equation; boundary value problem; stationary solution; kinetic theory of gases;

机译：相对论BGK模型;相对论Boltzmann方程;边值问题;静止解决方案;气体的动力学理论;

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1. STATIONARY SOLUTIONS TO THE BOUNDARY VALUE PROBLEM FOR THE RELATIVISTIC BGK MODEL IN A SLAB [J] . Hwang Byung-Hoon, Yun Seok-Bae Kinetic & related models . 2019,第4期

机译：板坯中相对论BGK模型的边值问题的固定解
2. ANALYTIC SOLUTIONS OF SIMPLE FLOWS AND ANALYSIS OF NONSLIP BOUNDARY CONDITIONS FOR THE LATTICE BOLTZMANN BGK MODEL [J] . He XY., Luo LS., Dembo M., Journal of Statistical Physics . 1997,第1a2期

机译：格子Boltzmann BGK模型的简单流解析解和非滑动边界条件分析。
3. Global weak solutions to the relativistic BGK equation [J] . Juan Calvo, Pierre-Emmanuel Jabin, Juan Soler Communications in Partial Differential Equations . 2020,第1a3期

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4. ANALYTICAL SOLUTION OF HYPERBOLIC HEAT CONDUCTION EQUATION FOR A FINITE SLAB WITH ARBITRARY BOUNDARIES, INITIAL CONDITION, AND STATIONARY HEAT SOURCE [C] . Hossein Shokouhmand, Seyed Reza Mahmoudi, Kaveh Habibi 6th international conference on nanochannels, microchannels and minichannels 2008 . 2008

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STATIONARY SOLUTIONS TO THE BOUNDARY VALUE PROBLEM FOR THE RELATIVISTIC BGK MODEL IN A SLAB

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