ENERGY DECAY AND GLOBAL SMOOTH SOLUTIONS FOR A FREE BOUNDARY FLUID-NONLINEAR ELASTIC STRUCTURE INTERFACE MODEL WITH BOUNDARY DISSIPATION

doi:10.3934/dcds.2020086

	ENERGY DECAY AND GLOBAL SMOOTH SOLUTIONS FOR A FREE BOUNDARY FLUID-NONLINEAR ELASTIC STRUCTURE INTERFACE MODEL WITH BOUNDARY DISSIPATION
	Qin, Yizhao 1; Guo, Yuxia 1; Yao, Peng-Fei 2,3
刊名	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
	2020-03-01
卷号	40 期号:3 页码:1555-1593
关键词	Fluid-structure interaction nonlinear elastodynamic systems boundary dissipation Navier-Stokes equations energy decay global well-posedness
ISSN号	1078-0947
DOI	10.3934/dcds.2020086
英文摘要	We consider a nonlinear, free boundary fluid-structure interaction model in a bounded domain. The viscous incompressible fluid interacts with a nonlinear elastic body on the common boundary via the velocity and stress matching conditions. The motion of the fluid is governed by incompressible Navier-Stokes equations while the displacement of elastic structure is determined by a nonlinear elastodynamic system with boundary dissipation. The boundary dissipation is inserted in the velocity matching condition. We prove the global existence of the smooth solutions for small initial data and obtain the exponential decay of the energy of this system as well.
资助项目	National Science Foundation of China[11771235] ; Key Research Program of Frontier Sciences, CAS[QYZDJ-SSW-SYS011]
WOS研究方向	Mathematics
语种	英语
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
WOS记录号	WOS:000502707900010
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/50463]
专题	中国科学院数学与系统科学研究院
通讯作者	Yao, Peng-Fei
作者单位	1.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Qin, Yizhao,Guo, Yuxia,Yao, Peng-Fei. ENERGY DECAY AND GLOBAL SMOOTH SOLUTIONS FOR A FREE BOUNDARY FLUID-NONLINEAR ELASTIC STRUCTURE INTERFACE MODEL WITH BOUNDARY DISSIPATION[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2020,40(3):1555-1593.
APA	Qin, Yizhao,Guo, Yuxia,&Yao, Peng-Fei.(2020).ENERGY DECAY AND GLOBAL SMOOTH SOLUTIONS FOR A FREE BOUNDARY FLUID-NONLINEAR ELASTIC STRUCTURE INTERFACE MODEL WITH BOUNDARY DISSIPATION.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,40(3),1555-1593.
MLA	Qin, Yizhao,et al."ENERGY DECAY AND GLOBAL SMOOTH SOLUTIONS FOR A FREE BOUNDARY FLUID-NONLINEAR ELASTIC STRUCTURE INTERFACE MODEL WITH BOUNDARY DISSIPATION".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 40.3(2020):1555-1593.