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Recovering an elastic obstacle containing embedded objects by the acoustic far-field measurements
Qu, Fenglong1; Yang, Jiaqing2; Zhang, Bo3,4,5
2018
Source PublicationINVERSE PROBLEMS
ISSN0266-5611
Volume34Issue:1Pages:8
AbstractConsider 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).
Keywordinverse scattering uniqueness fluid-solid interaction far-field pattern embedded obstacles
DOI10.1088/1361-6420/aa9c26
Language英语
Funding ProjectNNSF 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 Research AreaMathematics ; Physics
WOS SubjectMathematics, Applied ; Physics, Mathematical
WOS IDWOS:000417912700001
PublisherIOP PUBLISHING LTD
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Cited Times:4[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/27079
Collection应用数学研究所
Affiliation1.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
Recommended Citation
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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