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

doi:10.1007/s00205-021-01651-6

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	Hilbert Expansion of the Boltzmann Equation with Specular Boundary Condition in Half-Space
	Guo, Yan 1; Huang, Feimin2,3 ; Wang, Yong2,3
	2021-04-26
发表期刊	ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN	0003-9527
页码	79
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.
DOI	10.1007/s00205-021-01651-6
收录类别	SCI
语种	英语
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
WOS类目	Mathematics, Applied ; Mechanics
WOS记录号	WOS:000643584100001
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58485
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.