Carleman estimate for Biot consolidation system in poro-elasticity and application to inverse problems-Reference-Cited by-同舟云学术

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Carleman estimate for Biot consolidation system in poro-elasticity and application to inverse problems

Published:2016-06-16 Issue:18 Volume:39 Page:5281-5301
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math. Meth. Appl. Sci.

Author:

Bellassoued Mourad¹,Riahi Bochra¹

Affiliation:

1. Department of Mathematics,, Faculty of Sciences of Bizerte; University of Carthage; Jarzouna 7021 Bizerte Tunisia

Publisher

Wiley

Subject

General Engineering,General Mathematics

Reference29 articles.

1. Theoretical aspects of wave propagation for Biot's consolidation problem;Barucq;Monografías del Seminario Mathemático García de Galdeano,2004

2. Volumes I and II;Lions,1972

3. Carleman estimates and inverse heat source problem for thermoelasticity system;Bellassoued;Inverse Problems,2011

4. Conditional stability and uniqueness for determining two coefficients in a hyperbolic-parabolic system;Wu;Inverse Problems,2011

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1. Numerical simulation based heuristic investigation of inertia-induced phenomena and theoretical solution based verification by the damped wave equation for the dynamic deformation of saturated soil based on the u–w–p governing equation;Soils and Foundations;2021-04

2. Lipschitz stability in determination of coefficients in a two-dimensional Boussinesq system by arbitrary boundary observation;Discrete & Continuous Dynamical Systems - S;2021

3. Hölder stability in determining elastic coefficients of Biot's system in poroelastic media;Journal of Physics Communications;2020-08-01

4. Logarithmic stability of an inverse problem for Biot’s consolidation system in poro-elasticity;Journal of Physics Communications;2019-11-01

5. A Carleman estimate for the linear magnetoelastic waves system and an inverse source problem in a bounded conductive medium;Applicable Analysis;2019-01-15

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