中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
A Time-dependent Interaction Problem Between an Electromagnetic Field and an Elastic Body

文献类型:期刊论文

作者Wei, Chang-kun1,2; Yang, Jia-qing3; Zhang, Bo1,2
刊名ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
出版日期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
DOI10.1007/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
WOS记录号WOS:000504613100007
出版者SPRINGER HEIDELBERG
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.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, 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.

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。