Logarithmic stability of an inverse problem for Biot’s consolidation system in poro-elasticity

doi:10.1088/2399-6528/ab596d

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	Logarithmic stability of an inverse problem for Biot’s consolidation system in poro-elasticity
	Zhang,Wensheng 1,2; Jiang,Zifan 1,2
	2019-11-01
发表期刊	Journal of Physics Communications
卷号	3 期号:11
摘要	Abstract In this paper, we consider a coupled system of mixed hyperbolic-parabolic type, which describes Biot’s consolidation model in poro-elasticity. We study an inverse problem of determining five spatially varying coefficients in the model, i.e. two Lamé coefficients, the secondary consolidation effects and two densities, by three measurements of displacement in an arbitrary subboundary and temperature in an arbitrary neighborhood of the boundary over a time interval. By assuming that, in a neighborhood of the boundary of the spatial domain, the densities, secondary consolidation effects and the Lamé coefficients are known, we prove a logarithmic stability estimate for the inverse problem.
关键词	Carleman estimate inverse problem Biot’s system
DOI	10.1088/2399-6528/ab596d
语种	英语
WOS记录号	IOP:2399-6528-3-11-ab596d
出版者	IOP Publishing
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50289
专题	中国科学院数学与系统科学研究院
作者单位	1.LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China 2.School of Mathematics Sciences, University of Chinese Academy of Sciences, Beijing 100049, People’s Republic of China
推荐引用方式 GB/T 7714	Zhang,Wensheng,Jiang,Zifan. Logarithmic stability of an inverse problem for Biot’s consolidation system in poro-elasticity[J]. Journal of Physics Communications,2019,3(11).
APA	Zhang,Wensheng,&Jiang,Zifan.(2019).Logarithmic stability of an inverse problem for Biot’s consolidation system in poro-elasticity.Journal of Physics Communications,3(11).
MLA	Zhang,Wensheng,et al."Logarithmic stability of an inverse problem for Biot’s consolidation system in poro-elasticity".Journal of Physics Communications 3.11(2019).