KMS Of Academy of mathematics and systems sciences, CAS
| Linear Stability of Hyperbolic Moment Models for Boltzmann Equation | |
Di, Yana1 ; Fan, Yuwei2; Li, Ruo2,3,4; Zheng, Lingchao2
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| 2017-05-01 | |
| Source Publication | NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS
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| ISSN | 1004-8979 |
| Volume | 10Issue:2Pages:255-277 |
| Abstract | 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. |
| Keyword | Boltzmann equation Grad's moment method hyperbolic moment equation linear stability |
| DOI | 10.4208/nmtma.2017.s04 |
| Language | 英语 |
| Funding Project | 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 Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000400931100005 |
| Publisher | CAMBRIDGE UNIV PRESS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/25369 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Li, Ruo |
| Affiliation | 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 |
| Recommended Citation 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. |
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