Optimal exponentials of thickness in Korn's inequalities for parabolic and elliptic shells
文献类型：期刊论文
| 作者 | Yao, Peng-Fei1,2 |
| 刊名 | ANNALI DI MATEMATICA PURA ED APPLICATA
 |
| 出版日期 | 2020-06-19 |
| 页码 | 23 |
| 关键词 | Korn's inequality Shell Nonlinear elasticity Riemannian geometry |
| ISSN号 | 0373-3114 |
| DOI | 10.1007/s10231-020-01000-6 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000541320800001 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51672]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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