Energy estimates and local well-posedness of 3D interfacial hydroelastic waves between two incompressible fluids

doi:10.1016/j.jde.2020.04.029

IMECH-IR > 流固耦合系统力学重点实验室

	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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