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. 应用数学研究所
JUSTIFICATION OF LIMIT FOR THE BOLTZMANN EQUATION RELATED TO KORTEWEG THEORY

文献类型：期刊论文

作者Huang, Feimin1,2; Wang, Yi1,2; Wang, Yong1; Yang, Tong3
刊名QUARTERLY OF APPLIED MATHEMATICS
出版日期2016
卷号74期号:4页码:719-764
关键词Boltzmann equation Knudsen number diffusive scaling diffusion wave
ISSN号0033-569X
DOI10.1090/qam/1440
英文摘要Under the diffusion scaling and a scaling assumption on the microscopic component, a non-classical fluid dynamic system was derived by Bardos et al. (2008) that is related to the system of ghost effect derived by Sone (2007) in a different setting. By constructing a non-trivial solution to the limiting system that is closely related to the Korteweg theory, we prove that there exists a sequence of smooth solutions of the Boltzmann equation that converge to the limiting solution when the Knudsen number vanishes. This provides the first rigorous nonlinear derivation of Korteweg theory from the Boltzmann equation and re-emphasizes the importance of Korteweg theory for the problem of thermal creep flow.
资助项目National Center for Mathematics and Interdisciplinary Sciences ; AMSS ; CAS ; NSF[11371349] ; National Natural Sciences Foundation of China[11322106] ; National Natural Sciences Foundation of China[11401565] ; General Research Fund of Hong Kong[CityU 103412]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000383778400008
出版者BROWN UNIV
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/23424]  
专题应用数学研究所
通讯作者Huang, Feimin
作者单位1.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China
2.Beijing Ctr Math & Informat Sci, Beijing 100048, Peoples R China
3.City Univ Hong Kong, Dept Math, Kowloon Tong, Hong Kong, Peoples R China
推荐引用方式
GB/T 7714		 Huang, Feimin,Wang, Yi,Wang, Yong,et al. JUSTIFICATION OF LIMIT FOR THE BOLTZMANN EQUATION RELATED TO KORTEWEG THEORY[J]. QUARTERLY OF APPLIED MATHEMATICS,2016,74(4):719-764.
APA Huang, Feimin,Wang, Yi,Wang, Yong,&Yang, Tong.(2016).JUSTIFICATION OF LIMIT FOR THE BOLTZMANN EQUATION RELATED TO KORTEWEG THEORY.QUARTERLY OF APPLIED MATHEMATICS,74(4),719-764.
MLA Huang, Feimin,et al."JUSTIFICATION OF LIMIT FOR THE BOLTZMANN EQUATION RELATED TO KORTEWEG THEORY".QUARTERLY OF APPLIED MATHEMATICS 74.4(2016):719-764.

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。