A priori estimates for the free boundary problem of incompressible neo-Hookean elastodynamics
文献类型：期刊论文
| 作者 | Hao, Chengchun1,2,3 ; Wang, Dehua4
|
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2016-07-05 |
| 卷号 | 261期号:1页码:712-737 |
| 关键词 | Incompressible elastodynamics Free boundary A priori estimates The second fundamental form |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2016.03.025 |
| 英文摘要 | A free boundary problem for the incompressible neo-Hookean elastodynamics is studied in two and three spatial dimensions. The a priori estimates in Sobolev norms of solutions with the physical vacuum condition are established through a geometrical point of view of Christodoulou and Lindblad (2000) [3]. Some estimates on the second fundamental form and velocity of the free surface are also obtained. (C) 2016 Elsevier Inc. All rights reserved. |
| 资助项目 | National Science Foundation of China[11171327] ; National Science Foundation of China[11461161007] ; National Science Foundation of China[11501323] ; Youth Innovation Promotion Association, Chinese Academy of Sciences ; National Science Foundation[DMS-1312800] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000375339000023 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/22574]  |
| 专题 | 数学所 |
| 通讯作者 | Hao, Chengchun |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 3.BCMIIS, Beijing 100048, Peoples R China 4.Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA |
| 推荐引用方式 GB/T 7714 | Hao, Chengchun,Wang, Dehua. A priori estimates for the free boundary problem of incompressible neo-Hookean elastodynamics[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2016,261(1):712-737. |
| APA | Hao, Chengchun,&Wang, Dehua.(2016).A priori estimates for the free boundary problem of incompressible neo-Hookean elastodynamics.JOURNAL OF DIFFERENTIAL EQUATIONS,261(1),712-737. |
| MLA | Hao, Chengchun,et al."A priori estimates for the free boundary problem of incompressible neo-Hookean elastodynamics".JOURNAL OF DIFFERENTIAL EQUATIONS 261.1(2016):712-737. |
入库方式： OAI收割
来源：数学与系统科学研究院
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