KMS Of Academy of mathematics and systems sciences, CAS
| Strain tensors on hyperbolic surfaces and their applications | |
| Yao, Peng-Fei1,2 | |
| 2021-07-01 | |
| Source Publication | JOURNAL OF FUNCTIONAL ANALYSIS
 |
| ISSN | 0022-1236 |
| Volume | 281Issue:1Pages:36 |
| Abstract | 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. |
| Keyword | Keywords hyperbolic surface Shell Nonlinear elasticity Riemannian geometry |
| DOI | 10.1016/j.jfa.2021.108986 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Science Foundation of China[12071463] ; National Science Foundation of China[61573342] ; Key Research Program of Frontier Sciences, CAS[QYZDJ-SSW-SYS011] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics |
| WOS ID | WOS:000639225900001 |
| Publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/58455 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Yao, Peng-Fei |
| Affiliation | 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 |
| Recommended Citation 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. |
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