| Energy estimates and local well-posedness of 3D interfacial hydroelastic waves between two incompressible fluids | |
Wang Z(王展)1,2 ; Yang JQ(杨佳琦)3
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| Source Publication | JOURNAL OF DIFFERENTIAL EQUATIONS
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| 2020 | |
| Volume | 269Issue:7Pages:6055-6087 |
| ISSN | 0022-0396 |
| Abstract | In the current paper, we are concerned with waves propagating through the deformation of a thin elastic sheet between two incompressible and inviscid fluids, which are usually called hydroelastic waves in the literature to model deformable sheets interacting with surrounding fluids. The main purpose of the present study is to solve a basic question on the theoretical side, i.e. the local well-posedness issue. The problem is formulated by the full Euler equations (without the assumption of irrotationality) for fluids, combined with the Plotnikov-Toland model for the elastic sheet. Based on geometric considerations, we derive energy estimates and prove the local existence and uniqueness of solution for this system in n (>= 2) dimensions even if velocity fields are rotational. (C) 2020 Elsevier Inc. All rights reserved. |
| Keyword | Energy estimates Well-posedness Hydroelastic wave Rotational |
| DOI | 10.1016/j.jde.2020.04.029 |
| Indexed By | SCI |
| Language | 英语 |
| WOS ID | WOS:000549985200016 |
| WOS Keyword | 2-DIMENSIONAL WATER-WAVES ; SURFACE-TENSION LIMIT ; GLOBAL-SOLUTIONS ; EXISTENCE THEORY ; SOBOLEV SPACES ; GRAVITY ; SINGULARITIES ; MOTION |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics |
| Funding Organization | Key Research Program of Frontier Sciences of CAS[QYZDBSSW-SYS015] ; Strategic Priority Research Program of the Chinese Academy of Sciences[XDB22040203] ; CAS Center for Excellence in Complex System Mechanics |
| Classification | 一类 |
| Ranking | 1 |
| Contributor | Wang, Zhan |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/84796 |
| Collection | 流固耦合系统力学重点实验室 |
| Affiliation | 1.Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China; 2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China; 3.Northwestern Polytech Univ, Sch Math & Stat, Xian 710129, Peoples R China |
| Recommended Citation GB/T 7714 | Wang Z,Yang JQ. Energy estimates and local well-posedness of 3D interfacial hydroelastic waves between two incompressible fluids[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2020,269,7,:6055-6087. |
| APA | 王展,&杨佳琦.(2020).Energy estimates and local well-posedness of 3D interfacial hydroelastic waves between two incompressible fluids.JOURNAL OF DIFFERENTIAL EQUATIONS,269(7),6055-6087. |
| MLA | 王展,et al."Energy estimates and local well-posedness of 3D interfacial hydroelastic waves between two incompressible fluids".JOURNAL OF DIFFERENTIAL EQUATIONS 269.7(2020):6055-6087. |
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| Jp2020240.pdf（465KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Application Full Text | |
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