ANALYSIS OF TRANSIENT ACOUSTIC-ELASTIC INTERACTION IN AN UNBOUNDED STRUCTURE

doi:10.1137/16M1090326

CSpace > 应用数学研究所

	ANALYSIS OF TRANSIENT ACOUSTIC-ELASTIC INTERACTION IN AN UNBOUNDED STRUCTURE
	Gao, Yixian 1; Li, Peijun 2; Zhang, Bo3,4
	2017
发表期刊	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN	0036-1410
卷号	49 期号:5 页码:3951-3972
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.
关键词	acoustic wave equation elastic wave equation unbounded rough surface time domain stability a priori estimates
DOI	10.1137/16M1090326
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000416766900021
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29177
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.