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 |
| 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 |
| 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
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