Open AccessHölder stability in determining elastic coefficients of Biot's system in poroelastic media
Author(s) -
Wensheng Zhang,
Zifan Jiang
Publication year - 2020
Publication title -
journal of physics communications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.407
H-Index - 17
ISSN - 2399-6528
DOI - 10.1088/2399-6528/ab9ea2
Subject(s) - poromechanics , biot number , inverse , mathematical analysis , stability (learning theory) , elastic modulus , inverse problem , modulus , mathematics , coupling (piping) , boundary (topology) , neighbourhood (mathematics) , physics , materials science , porous medium , mechanics , thermodynamics , geometry , porosity , computer science , composite material , machine learning
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 Hölder stability estimate of this inverse problem based on Carleman estimates.
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