KMS Of Academy of mathematics and systems sciences, CAS
| ANALYSIS OF TRANSIENT ACOUSTIC-ELASTIC INTERACTION IN AN UNBOUNDED STRUCTURE | |
Gao, Yixian1; Li, Peijun2; Zhang, Bo3,4
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| 2017 | |
| Source Publication | SIAM JOURNAL ON MATHEMATICAL ANALYSIS
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| ISSN | 0036-1410 |
| Volume | 49Issue:5Pages:3951-3972 |
| Abstract | 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. |
| Keyword | acoustic wave equation elastic wave equation unbounded rough surface time domain stability a priori estimates |
| DOI | 10.1137/16M1090326 |
| Language | 英语 |
| Funding Project | 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 Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000416766900021 |
| Publisher | SIAM PUBLICATIONS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/29177 |
| Collection | 应用数学研究所 |
| Corresponding Author | Gao, Yixian |
| Affiliation | 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 |
| 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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