Strain tensors on hyperbolic surfaces and their applications

doi:10.1016/j.jfa.2021.108986

CSpace

	Strain tensors on hyperbolic surfaces and their applications
	Yao, Peng-Fei 1,2
	2021-07-01
发表期刊	JOURNAL OF FUNCTIONAL ANALYSIS
ISSN	0022-1236
卷号	281 期号:1 页码:36
摘要	We perform a detailed analysis of the solvability of linear strain equations on several non-characteristic regions to obtain L-2 regularity solutions. As an application, the rigidity results on the strain tensor of the middle surface are implied by the L-2 regularity for non-characteristic regions. Finally, we obtain the optimal constant in the first Korn inequality scales like h(4/3) for hyperbolic shells, generalizing the assumption that the middle surface of the shell is given by a single principal system in the literature. (c) 2021 Elsevier Inc. All rights reserved.
关键词	Keywords hyperbolic surface Shell Nonlinear elasticity Riemannian geometry
DOI	10.1016/j.jfa.2021.108986
收录类别	SCI
语种	英语
资助项目	National Science Foundation of China[12071463] ; National Science Foundation of China[61573342] ; Key Research Program of Frontier Sciences, CAS[QYZDJ-SSW-SYS011]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000639225900001
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58455
专题	中国科学院数学与系统科学研究院
通讯作者	Yao, Peng-Fei
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Yao, Peng-Fei. Strain tensors on hyperbolic surfaces and their applications[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2021,281(1):36.
APA	Yao, Peng-Fei.(2021).Strain tensors on hyperbolic surfaces and their applications.JOURNAL OF FUNCTIONAL ANALYSIS,281(1),36.
MLA	Yao, Peng-Fei."Strain tensors on hyperbolic surfaces and their applications".JOURNAL OF FUNCTIONAL ANALYSIS 281.1(2021):36.