Analysis of a time-dependent uid-solid interaction problem above a local rough surface
文献类型：期刊论文
| 作者 | Wei Changkun1; Yang Jiaqing2 |
| 刊名 | Science China. Mathematics
 |
| 出版日期 | 2020 |
| 卷号 | 63期号:5页码:887-906 |
| 关键词 | well-posedness stability a priori estimate fluid-solid interaction Laplace transform local rough surface |
| ISSN号 | 1674-7283 |
| 英文摘要 | 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. |
| 语种 | 英语 |
| CSCD记录号 | CSCD:6763027 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/56660]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.中国科学院数学与系统科学研究院 2.School of Mathematics and Statistics,Xi'an Jiaotong University |
| 推荐引用方式 GB/T 7714 | Wei Changkun,Yang Jiaqing. Analysis of a time-dependent uid-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 uid-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 uid-solid interaction problem above a local rough surface".Science China. Mathematics 63.5(2020):887-906. |
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。