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ANALYSIS OF TRANSIENT ACOUSTIC-ELASTIC INTERACTION IN AN UNBOUNDED STRUCTURE
Gao, Yixian1; Li, Peijun2; Zhang, Bo3,4
2017
Source PublicationSIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN0036-1410
Volume49Issue:5Pages:3951-3972
AbstractConsider 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.
Keywordacoustic wave equation elastic wave equation unbounded rough surface time domain stability a priori estimates
DOI10.1137/16M1090326
Language英语
Funding ProjectNSFC[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 Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000416766900021
PublisherSIAM PUBLICATIONS
Citation statistics
Cited Times:4[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/29177
Collection应用数学研究所
Affiliation1.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
Recommended Citation
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.
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