Energy decay and global solutions for a damped free boundary fluid-elastic structure interface model with variable coefficients in elasticity

doi:10.1080/00036811.2018.1551996

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	Energy decay and global solutions for a damped free boundary fluid-elastic structure interface model with variable coefficients in elasticity
	Qin, Yizhao 1,2; Yao, Peng-Fei 1,2
	2020-08-17
发表期刊	APPLICABLE ANALYSIS
ISSN	0003-6811
卷号	99 期号:11 页码:1953-1971
摘要	We study a free boundary fluid-structure interaction model. In the model, a viscous incompressible fluid interacts with an elastic body via the common boundary. The motion of the fluid is governed by Navier-Stokes equations while the displacement of the elastic structure is described by variable coefficient wave equations. The dissipation is placed on the common boundary between the fluid and the elastic body. Given small initial data, the global existence of the solutions of this system is proved and the exponential decay of solutions is obtained.
关键词	Fluid-structure interaction variable coefficient wave equations geometric multiplier method boundary dissipation Navier-Stokes equations energy decay 49k20
DOI	10.1080/00036811.2018.1551996
收录类别	SCI
语种	英语
资助项目	National Science Foundation of China[61473126] ; National Science Foundation of China[61573342] ; Key Research Program of Frontier Sciences, CAS[QYZDJ-SSW-SYS011]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000550134600006
出版者	TAYLOR & FRANCIS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51838
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.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Qin, Yizhao,Yao, Peng-Fei. Energy decay and global solutions for a damped free boundary fluid-elastic structure interface model with variable coefficients in elasticity[J]. APPLICABLE ANALYSIS,2020,99(11):1953-1971.
APA	Qin, Yizhao,&Yao, Peng-Fei.(2020).Energy decay and global solutions for a damped free boundary fluid-elastic structure interface model with variable coefficients in elasticity.APPLICABLE ANALYSIS,99(11),1953-1971.
MLA	Qin, Yizhao,et al."Energy decay and global solutions for a damped free boundary fluid-elastic structure interface model with variable coefficients in elasticity".APPLICABLE ANALYSIS 99.11(2020):1953-1971.