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 | |
发表期刊 | JOURNAL OF DIFFERENTIAL EQUATIONS |
2020 | |
卷号 | 269期号:7页码:6055-6087 |
ISSN | 0022-0396 |
摘要 | 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. |
关键词 | Energy estimates Well-posedness Hydroelastic wave Rotational |
DOI | 10.1016/j.jde.2020.04.029 |
收录类别 | SCI |
语种 | 英语 |
WOS记录号 | WOS:000549985200016 |
关键词[WOS] | 2-DIMENSIONAL WATER-WAVES ; SURFACE-TENSION LIMIT ; GLOBAL-SOLUTIONS ; EXISTENCE THEORY ; SOBOLEV SPACES ; GRAVITY ; SINGULARITIES ; MOTION |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics |
项目资助者 | 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 |
论文分区 | 一类 |
力学所作者排名 | 1 |
RpAuthor | Wang, Zhan |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://dspace.imech.ac.cn/handle/311007/84796 |
专题 | 流固耦合系统力学重点实验室 |
作者单位 | 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 |
推荐引用方式 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 | 浏览 请求全文 |
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