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Analysis of a time-dependent fluid-solid interaction problem above a local rough surface

文献类型：期刊论文

作者Wei, Changkun1,2; Yang, Jiaqing3
刊名SCIENCE CHINA-MATHEMATICS
出版日期2020-05-01
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
DOI10.1007/s11425-017-9364-3
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.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000545090900004
出版者SCIENCE PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/51777]  
专题中国科学院数学与系统科学研究院
通讯作者Yang, Jiaqing
作者单位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
推荐引用方式
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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