STRAIN TENSORS AND MATCHING PROPERTY ON DEGENERATED HYPERBOLIC SURFACES
文献类型：期刊论文
| 作者 | Chen, Liang-Biao1; Yao, Peng-Fei1,2 |
| 刊名 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS
 |
| 出版日期 | 2022 |
| 卷号 | 54期号:4页码:4930-4953 |
| 关键词 | shell nonlinear elasticity Riemannian geometry tensor analysis |
| ISSN号 | 0036-1410 |
| DOI | 10.1137/21M1440906 |
| 英文摘要 | We prove the regularity of solutions to the strain tensor equation on degenerated hyperbolic surfaces S where the Gauss curvature is zero on a part of the boundary. Furthermore, we obtain the density property that smooth infinitesimal isometrics are dense in the W-2,W-2(S, R-3) infinitesimal isometrics. Finally, the matching property is established. Those results are important tools in obtaining recovery sequences (Gamma-lim sup inequality) for dimensionally reduced shell theories in elasticity. |
| 资助项目 | National Natural Science Foundation of China[12071463] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000889274600020 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60534]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chen, Liang-Biao |
| 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.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Liang-Biao,Yao, Peng-Fei. STRAIN TENSORS AND MATCHING PROPERTY ON DEGENERATED HYPERBOLIC SURFACES[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2022,54(4):4930-4953. |
| APA | Chen, Liang-Biao,&Yao, Peng-Fei.(2022).STRAIN TENSORS AND MATCHING PROPERTY ON DEGENERATED HYPERBOLIC SURFACES.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,54(4),4930-4953. |
| MLA | Chen, Liang-Biao,et al."STRAIN TENSORS AND MATCHING PROPERTY ON DEGENERATED HYPERBOLIC SURFACES".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 54.4(2022):4930-4953. |
入库方式： OAI收割
来源：数学与系统科学研究院
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