H?lder stability in determining elastic coefficients of Biot's system in poroelastic media
Zhang,Wensheng1,2; Jiang,Zifan1,2
刊名Journal of Physics Communications
2020-08-01
卷号4期号:8
关键词H?lder stability inverse problem elastic coefficients Carleman estimate Biot's system poroelastic media
DOI10.1088/2399-6528/ab9ea2
英文摘要Abstract In this paper, we investigate an inverse problem of determining the four spatially varying elastic coefficients of Biot’s system simultaneously, i.e., the two Lamé parameters, the dilatational coupling factor and the bulk modulus, by a single measurement of data on a neighbourhood of the boundary. Following the idea of the B-K method, we prove the H?lder stability estimate of this inverse problem based on Carleman estimates.
语种英语
出版者IOP Publishing
WOS记录号IOP:2399-6528-4-8-AB9EA2
内容类型期刊论文
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/52135]  
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 Mathematical 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. H?lder stability in determining elastic coefficients of Biot's system in poroelastic media[J]. Journal of Physics Communications,2020,4(8).
APA Zhang,Wensheng,&Jiang,Zifan.(2020).H?lder stability in determining elastic coefficients of Biot's system in poroelastic media.Journal of Physics Communications,4(8).
MLA Zhang,Wensheng,et al."H?lder stability in determining elastic coefficients of Biot's system in poroelastic media".Journal of Physics Communications 4.8(2020).
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