中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
  4. 应用数学研究所
ANALYSIS OF TRANSIENT ACOUSTIC-ELASTIC INTERACTION IN AN UNBOUNDED STRUCTURE

文献类型：期刊论文

作者Gao, Yixian1; Li, Peijun2; Zhang, Bo3,4
刊名SIAM JOURNAL ON MATHEMATICAL ANALYSIS
出版日期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
DOI10.1137/16M1090326
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
WOS记录号WOS:000416766900021
出版者SIAM PUBLICATIONS
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.

入库方式： OAI收割

来源：数学与系统科学研究院

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。