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

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	Analysis of a time-dependent uid-solid interaction problem above a local rough surface
	Wei Changkun 1; Yang Jiaqing 2
	2020
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
收录类别	CSCD
语种	英语
CSCD记录号	CSCD:6763027
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/56661
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.