KMS Of Academy of mathematics and systems sciences, CAS
H?lder stability in determining elastic coefficients of Biot's system in poroelastic media | |
Zhang,Wensheng1,2; Jiang,Zifan1,2 | |
2020-08-01 | |
发表期刊 | Journal of Physics Communications
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卷号 | 4期号:8 |
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. |
关键词 | H?lder stability inverse problem elastic coefficients Carleman estimate Biot's system poroelastic media |
DOI | 10.1088/2399-6528/ab9ea2 |
语种 | 英语 |
WOS记录号 | IOP:2399-6528-4-8-ab9ea2 |
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/52136 |
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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