A Time-dependent Interaction Problem Between an Electromagnetic Field and an Elastic Body

doi:10.1007/s10255-020-0915-6

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	A Time-dependent Interaction Problem Between an Electromagnetic Field and an Elastic Body
	Wei, Chang-kun 1,2; Yang, Jia-qing 3; Zhang, Bo 1,2
刊名	ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
	2020
卷号	36 期号:1 页码:95-118
关键词	electromagnetic elastic Laplace transform Lax-Milgram lemma energy method well-posedness
ISSN号	0168-9673
DOI	10.1007/s10255-020-0915-6
英文摘要	This 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.
资助项目	NNSF of China[11771349] ; NNSF of China[91730306] ; NNSF of China[91630309] ; Fundamental Research Funds for the Central Universities of China
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000504613100007
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/50489]
专题	应用数学研究所
通讯作者	Yang, Jia-qing
作者单位	1.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
推荐引用方式 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.