Linear Stability of Hyperbolic Moment Models for Boltzmann Equation

doi:10.4208/nmtma.2017.s04

	Linear Stability of Hyperbolic Moment Models for Boltzmann Equation
	Di, Yana1 ; Fan, Yuwei 2; Li, Ruo 2,3,4; Zheng, Lingchao 2
	2017-05-01
发表期刊	NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS
ISSN	1004-8979
卷号	10 期号:2 页码:255-277
摘要	Grad's moment models for Boltzmann equation were recently regularized to globally hyperbolic systems and thus the regularized models attain local well-posedness for Cauchy data. The hyperbolic regularization is only related to the convection term in Boltzmann equation. We in this paper studied the regularized models with the presentation of collision terms. It is proved that the regularized models are linearly stable at the local equilibrium and satisfy Yong's first stability condition with commonly used approximate collision terms, and particularly with Boltzmann's binary collision model.
关键词	Boltzmann equation Grad's moment method hyperbolic moment equation linear stability
DOI	10.4208/nmtma.2017.s04
语种	英语
资助项目	National Natural Science Foundation of China[11271358] ; National Natural Science Foundation of China[91434201] ; National Natural Science Foundation of China[91330205] ; National Natural Science Foundation of China[11421110001] ; National Natural Science Foundation of China[11421101] ; National Natural Science Foundation of China[11325102]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000400931100005
出版者	CAMBRIDGE UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25369
专题	计算数学与科学工程计算研究所
通讯作者	Li, Ruo
作者单位	1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, LSEC, AMSS,NCMIS, Beijing 100190, Peoples R China 2.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 3.Peking Univ, HEDPS, Beijing 100871, Peoples R China 4.Peking Univ, CAPT, LMAM, Beijing 100871, Peoples R China
推荐引用方式 GB/T 7714	Di, Yana,Fan, Yuwei,Li, Ruo,et al. Linear Stability of Hyperbolic Moment Models for Boltzmann Equation[J]. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,2017,10(2):255-277.
APA	Di, Yana,Fan, Yuwei,Li, Ruo,&Zheng, Lingchao.(2017).Linear Stability of Hyperbolic Moment Models for Boltzmann Equation.NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,10(2),255-277.
MLA	Di, Yana,et al."Linear Stability of Hyperbolic Moment Models for Boltzmann Equation".NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS 10.2(2017):255-277.