Institute of Computational Mathematics and Mathematical Geophysics SB RAS

International Conference on Mathematical Methods in Geophysics «MMG-2008»

Akademgorodok, Novosibirsk, Russia, October 13-15, 2008

Abstracts

Inverse Problems of Geophysics

Direct and Inverse Problems for a Nonlinear Evolutionary System

Priimenko V., Vishnevskii, M.

North Fluminense State University Darcy Ribeiro,
Rio de Janeiro State,
Brazil

We consider some direct and inverse problems related to the electrodynamics of vibrating elastic media. The system under study consists of three coupled differential equations, one of them is a hyperbolic equation (an analog of the Lamé system) and two other ones form a parabolic system (an analog of the diffusion Maxwell system). In the case of the direct problem we proved existence and uniqueness results for the first initial boundary-value problem. In the case of the inverse problem there is proved the local solvability of the elastic source definition by the magnetic data.

Note. Abstracts are published in author's edition

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