KMS Of Academy of mathematics and systems sciences, CAS
Optimal exponentials of thickness in Korn's inequalities for parabolic and elliptic shells | |
Yao, Peng-Fei1,2 | |
2020-06-19 | |
发表期刊 | ANNALI DI MATEMATICA PURA ED APPLICATA |
ISSN | 0373-3114 |
页码 | 23 |
摘要 | We consider the scaling of the optimal constant in Korn's first inequality for elliptic and parabolic shells which was first given by Grabovsky and Harutyunyan with hints coming from the test functions constructed by Tovstik and Smirnov on the level of formal asymptotic expansions. Here, we employ the Bochner technique in Remannian geometry to remove the assumption that the middle surface of the shell is given by one single principal coordinate, in particularly, including closed elliptic shells. |
关键词 | Korn's inequality Shell Nonlinear elasticity Riemannian geometry |
DOI | 10.1007/s10231-020-01000-6 |
收录类别 | SCI |
语种 | 英语 |
资助项目 | National Science Foundation of China[61473126] ; 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, Applied ; Mathematics |
WOS记录号 | WOS:000541320800001 |
出版者 | SPRINGER HEIDELBERG |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/51673 |
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, Key Lab Syst & Control, Inst Syst Sci, Acad Math & Syst Sci, 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. Optimal exponentials of thickness in Korn's inequalities for parabolic and elliptic shells[J]. ANNALI DI MATEMATICA PURA ED APPLICATA,2020:23. |
APA | Yao, Peng-Fei.(2020).Optimal exponentials of thickness in Korn's inequalities for parabolic and elliptic shells.ANNALI DI MATEMATICA PURA ED APPLICATA,23. |
MLA | Yao, Peng-Fei."Optimal exponentials of thickness in Korn's inequalities for parabolic and elliptic shells".ANNALI DI MATEMATICA PURA ED APPLICATA (2020):23. |
条目包含的文件 | 条目无相关文件。 |
个性服务 |
推荐该条目 |
保存到收藏夹 |
查看访问统计 |
导出为Endnote文件 |
谷歌学术 |
谷歌学术中相似的文章 |
[Yao, Peng-Fei]的文章 |
百度学术 |
百度学术中相似的文章 |
[Yao, Peng-Fei]的文章 |
必应学术 |
必应学术中相似的文章 |
[Yao, Peng-Fei]的文章 |
相关权益政策 |
暂无数据 |
收藏/分享 |
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。
修改评论