KMS Of Academy of mathematics and systems sciences, CAS
Recovering an elastic obstacle containing embedded objects by the acoustic far-field measurements | |
Qu, Fenglong1; Yang, Jiaqing2; Zhang, Bo3,4,5![]() | |
2018 | |
发表期刊 | INVERSE PROBLEMS
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ISSN | 0266-5611 |
卷号 | 34期号:1页码:8 |
摘要 | Consider the inverse scattering problem of time-harmonic acoustic waves by a 3D bounded elastic obstacle which may contain embedded impenetrable obstacles inside. We propose a novel and simple technique to show that the elastic obstacle can be uniquely recovered by the acoustic far-field pattern at a fixed frequency, disregarding its contents. Our method is based on constructing a well-posed modified interior transmission problem on a small domain and makes use of an a priori estimate for both the acoustic and elastic wave fields in the usual H-1-norm. In the case when there is no obstacle embedded inside the elastic body, our method gives a much simpler proof for the uniqueness result obtained previously in the literature (Natroshvili et al 2000 Rend. Mat. Serie VII 20 57-92; Monk and Selgas 2009 Inverse Problems Imaging 3 173-98). |
关键词 | inverse scattering uniqueness fluid-solid interaction far-field pattern embedded obstacles |
DOI | 10.1088/1361-6420/aa9c26 |
语种 | 英语 |
资助项目 | NNSF of China[11401513] ; NNSF of China[11401568] ; NNSF of China[11771349] ; NNSF of China[91430102] ; NNSF of China[91630309] ; NSF of Shandong Province of China[ZR2017MA044] ; China Postdoctoral Science Foundation[2015M580827] ; China Postdoctoral Science Foundation[2016T90900] ; Postdoctoral research project of Shaanxi Province of China[2016BSHYDZZ52] |
WOS研究方向 | Mathematics ; Physics |
WOS类目 | Mathematics, Applied ; Physics, Mathematical |
WOS记录号 | WOS:000417912700001 |
出版者 | IOP PUBLISHING LTD |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/27079 |
专题 | 应用数学研究所 |
通讯作者 | Yang, Jiaqing |
作者单位 | 1.Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Shandong, Peoples R China 2.Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China 3.Chinese Acad Sci, LSEC, Beijing 100190, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 5.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
推荐引用方式 GB/T 7714 | Qu, Fenglong,Yang, Jiaqing,Zhang, Bo. Recovering an elastic obstacle containing embedded objects by the acoustic far-field measurements[J]. INVERSE PROBLEMS,2018,34(1):8. |
APA | Qu, Fenglong,Yang, Jiaqing,&Zhang, Bo.(2018).Recovering an elastic obstacle containing embedded objects by the acoustic far-field measurements.INVERSE PROBLEMS,34(1),8. |
MLA | Qu, Fenglong,et al."Recovering an elastic obstacle containing embedded objects by the acoustic far-field measurements".INVERSE PROBLEMS 34.1(2018):8. |
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