KMS Of Academy of mathematics and systems sciences, CAS
| Analysis of a time-dependent fluid-solid interaction problem above a local rough surface | |
| Wei, Changkun1,2; Yang, Jiaqing3 | |
| 2020-05-01 | |
| Source Publication | SCIENCE CHINA-MATHEMATICS
 |
| ISSN | 1674-7283 |
| Volume | 63Issue:5Pages:887-906 |
| Abstract | This paper is concerned with the mathematical analysis of a time-dependent fluid-solid interaction problem associated with a bounded elastic body immersed in a homogeneous air or fluid above a local rough surface. We reformulate the unbounded scattering problem into an equivalent initial-boundary value problem defined in a bounded domain by proposing a transparent boundary condition (TBC) on a hemisphere. Analyzing the reduced problem with the Lax-Milgram lemma and the abstract inversion theorem of the Laplace transform, we prove the well-posedness and stability for the reduced problem. Moreover, an a priori estimate is established directly in the time domain for the acoustic wave and elastic displacement by using the energy method. |
| Keyword | well-posedness stability a priori estimate fluid-solid interaction Laplace transform local rough surface |
| DOI | 10.1007/s11425-017-9364-3 |
| Indexed By | SCI |
| Language | 英语 |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000545090900004 |
| Publisher | SCIENCE PRESS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/51778 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Yang, Jiaqing |
| 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, Peoples R China |
| Recommended Citation GB/T 7714 | Wei, Changkun,Yang, Jiaqing. Analysis of a time-dependent fluid-solid interaction problem above a local rough surface[J]. SCIENCE CHINA-MATHEMATICS,2020,63(5):887-906. |
| APA | Wei, Changkun,&Yang, Jiaqing.(2020).Analysis of a time-dependent fluid-solid interaction problem above a local rough surface.SCIENCE CHINA-MATHEMATICS,63(5),887-906. |
| MLA | Wei, Changkun,et al."Analysis of a time-dependent fluid-solid interaction problem above a local rough surface".SCIENCE CHINA-MATHEMATICS 63.5(2020):887-906. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment