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Hilbert Expansion of the Boltzmann Equation with Specular Boundary Condition in Half-Space

文献类型：期刊论文

作者Guo, Yan1; Huang, Feimin2,3; Wang, Yong2,3
刊名ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
出版日期2021-04-26
页码79
ISSN号0003-9527
DOI10.1007/s00205-021-01651-6
英文摘要Boundary effects play an important role in the study of hydrodynamic limits in the Boltzmann theory. Based on a systematic study of the viscous layer equations and the L-2 to L-infinity framework, we establish the validity of the Hilbert expansion for the Boltzmann equation with specular reflection boundary conditions, which leads to derivations of compressible Euler equations and acoustic equations in half-space.
资助项目NSF[1810868] ; National Natural Sciences Foundation of China[11688101] ; National Natural Sciences Foundation of China[11771429] ; National Natural Sciences Foundation of China[12022114] ; Youth Innovation Promotion Association of Chinese Academy of Sciences[2019002]
WOS研究方向Mathematics ; Mechanics
语种英语
WOS记录号WOS:000643584100001
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/58484]  
专题应用数学研究所
中国科学院数学与系统科学研究院
通讯作者Guo, Yan
作者单位1.Brown Univ, Div Appl Math, Providence, RI 02912 USA
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式
GB/T 7714		 Guo, Yan,Huang, Feimin,Wang, Yong. Hilbert Expansion of the Boltzmann Equation with Specular Boundary Condition in Half-Space[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2021:79.
APA Guo, Yan,Huang, Feimin,&Wang, Yong.(2021).Hilbert Expansion of the Boltzmann Equation with Specular Boundary Condition in Half-Space.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,79.
MLA Guo, Yan,et al."Hilbert Expansion of the Boltzmann Equation with Specular Boundary Condition in Half-Space".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2021):79.

入库方式： OAI收割

来源：数学与系统科学研究院

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