中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
  4. 计算数学与科学工程计算研究所
Linear Stability of Hyperbolic Moment Models for Boltzmann Equation

文献类型：期刊论文

作者Di, Yana1; Fan, Yuwei2; Li, Ruo2,3,4; Zheng, Lingchao2
刊名NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS
出版日期2017-05-01
卷号10期号:2页码:255-277
关键词Boltzmann equation Grad's moment method hyperbolic moment equation linear stability
ISSN号1004-8979
DOI10.4208/nmtma.2017.s04
英文摘要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.
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
语种英语
WOS记录号WOS:000400931100005
出版者CAMBRIDGE UNIV PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/25368]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。