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- Title
An identification problem related to the Biot system.
- Authors
Priimenko, Viatcheslav I.; Vishnevskii, Mikhail P.
- Abstract
In this paper, we study the propagation of elastic waves in porous media governed by the Biot equations in the low frequency range. We prove the existence and uniqueness result both for the direct problem and the inverse one, which consists in identifying the unknown scalar function f( t) in the body density force f( t)퐠(퐱, t) acting on a poroelastic body when some additional measurement is available.
- Subjects
PROBLEM solving; UNIQUENESS (Mathematics); POROUS materials; POROELASTICITY; EXISTENCE theorems; BODY density
- Publication
Journal of Inverse & Ill-Posed Problems, 2015, Vol 23, Issue 3, p219
- ISSN
0928-0219
- Publication type
Article
- DOI
10.1515/jiip-2013-0073