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A Time-dependent Interaction Problem Between an Electromagnetic Field and an Elastic Body
Wei, Chang-kun1,2; Yang, Jia-qing3; Zhang, Bo1,2
2020
Source PublicationACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
ISSN0168-9673
Volume36Issue:1Pages:95-118
AbstractThis paper considers the scattering of a time-dependent electromagnetic plane wave by a bounded elastic body. An appropriate decomposition of the coupling interface conditions is proposed according to the Voigt's model between the electromagnetic and elastic medium. The original unbounded scattering problem is equivalently reduced into an initial-boundary value problem in a bounded domain by introducing an exact transparent boundary condition (TBC) on a sufficiently large sphere. Making use of the Lax-Milgram lemma, the abstract inversion theorem of Laplace transform and the energy method, we verify the well-posedness and stability for the reduced problem. Moreover, a priori estimates are established for the electromagnetic field and elastic displacement by taking special test functions directly in the time domain variational formulation.
Keywordelectromagnetic elastic Laplace transform Lax-Milgram lemma energy method well-posedness
DOI10.1007/s10255-020-0915-6
Indexed BySCI
Language英语
Funding ProjectNNSF of China[11771349] ; NNSF of China[91730306] ; NNSF of China[91630309] ; Fundamental Research Funds for the Central Universities of China
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000504613100007
PublisherSPRINGER HEIDELBERG
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/50490
Collection中国科学院数学与系统科学研究院
Corresponding AuthorYang, Jia-qing
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
3.Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
Recommended Citation
GB/T 7714
Wei, Chang-kun,Yang, Jia-qing,Zhang, Bo. A Time-dependent Interaction Problem Between an Electromagnetic Field and an Elastic Body[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2020,36(1):95-118.
APA Wei, Chang-kun,Yang, Jia-qing,&Zhang, Bo.(2020).A Time-dependent Interaction Problem Between an Electromagnetic Field and an Elastic Body.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,36(1),95-118.
MLA Wei, Chang-kun,et al."A Time-dependent Interaction Problem Between an Electromagnetic Field and an Elastic Body".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 36.1(2020):95-118.
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