KMS Of Academy of mathematics and systems sciences, CAS
| 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 Publication | ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
 |
| ISSN | 0168-9673 |
| Volume | 36Issue:1Pages:95-118 |
| Abstract | 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. |
| Keyword | electromagnetic elastic Laplace transform Lax-Milgram lemma energy method well-posedness |
| DOI | 10.1007/s10255-020-0915-6 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | NNSF of China[11771349] ; NNSF of China[91730306] ; NNSF of China[91630309] ; Fundamental Research Funds for the Central Universities of China |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000504613100007 |
| Publisher | SPRINGER HEIDELBERG |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/50490 |
| Collection | 应用数学研究所 |
| Corresponding Author | Yang, Jia-qing |
| Affiliation | 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 |
| 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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