ANALYSIS OF TRANSIENT ACOUSTIC-ELASTIC INTERACTION IN AN UNBOUNDED STRUCTURE

doi:10.1137/16M1090326

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	ANALYSIS OF TRANSIENT ACOUSTIC-ELASTIC INTERACTION IN AN UNBOUNDED STRUCTURE
	Gao, Yixian 1; Li, Peijun 2; Zhang, Bo3,4
刊名	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
	2017
卷号	49 期号:5 页码:3951-3972
关键词	acoustic wave equation elastic wave equation unbounded rough surface time domain stability a priori estimates
ISSN号	0036-1410
DOI	10.1137/16M1090326
英文摘要	Consider the wave propagation in a two-layered medium consisting of a homogeneous compressible air or fluid on top of a homogeneous isotropic elastic solid in three dimensions. The interface between the two layers is assumed to be an unbounded rough surface. This work presents the first mathematical analysis for the transient acoustic-elastic interaction problem in such an unbounded structure. Using an exact transparent boundary condition and suitable interface conditions, we study an initial boundary value problem for the coupling of the acoustic and elastic wave equations. The well-posedness and stability are established for the reduced problem. Moreover, a priori estimates with explicit dependence on the time are obtained for the acoustic pressure and the elastic displacement. The problem addressed is sufficiently general to have potential use in applications.
资助项目	NSFC[11571065] ; NSFC[11671071] ; NSFC[61379093] ; NSFC[91430102] ; National Research program of China[2013CB834100] ; National Research program of China[JLSTDP 20160520094JH] ; National Research program of China[FRFCU2412017FZ005] ; NSF[DMS-1151308]
WOS研究方向	Mathematics
语种	英语
出版者	SIAM PUBLICATIONS
WOS记录号	WOS:000416766900021
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/29176]
专题	应用数学研究所
通讯作者	Gao, Yixian
作者单位	1.Northeast Normal Univ, Ctr Math & Interdisciplinary Sci, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China 2.Purdue Univ, Dept Math, W Lafayette, IN 47907 USA 3.Chinese Acad Sci, LSEC, Beijing 100190, Peoples R China 4.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Gao, Yixian,Li, Peijun,Zhang, Bo. ANALYSIS OF TRANSIENT ACOUSTIC-ELASTIC INTERACTION IN AN UNBOUNDED STRUCTURE[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2017,49(5):3951-3972.
APA	Gao, Yixian,Li, Peijun,&Zhang, Bo.(2017).ANALYSIS OF TRANSIENT ACOUSTIC-ELASTIC INTERACTION IN AN UNBOUNDED STRUCTURE.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,49(5),3951-3972.
MLA	Gao, Yixian,et al."ANALYSIS OF TRANSIENT ACOUSTIC-ELASTIC INTERACTION IN AN UNBOUNDED STRUCTURE".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 49.5(2017):3951-3972.