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

doi:10.1007/s11425-017-9364-3

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	Analysis of a time-dependent fluid-solid interaction problem above a local rough surface
	Wei, Changkun 1,2; Yang, Jiaqing 3
	2020-05-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	63 期号:5 页码:887-906
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.
关键词	well-posedness stability a priori estimate fluid-solid interaction Laplace transform local rough surface
DOI	10.1007/s11425-017-9364-3
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000545090900004
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51778
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.