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JOURNALS // Sibirskii Zhurnal Vychislitel'noi Matematiki // Archive

Sib. Zh. Vychisl. Mat., 2004 Volume 7, Number 1, Pages 13–24 (Mi sjvm141)

A method for solution of elasto-electrodynamics problem

O. A. Klimenko

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: The problem of elasto-electrodynamics is under investigation in this paper. The theory of elastoelectrodynamics deals with the mutual influence of a deformation field and an electric field in the elastic solid. An elastic conducting medium on a three-dimensional half-space is under consideration (for example, the Earth). A specific instantaneous point source of deformation is created on the boundary of the medium. This deformation involves the motion of charged particles in a conducting medium. It is required to find a coefficient that defines this current as a function of depth. One of intensity components of electric field on the boundary of the medium is known.

Key words: inverse problem, elasto-electrodynamics.

UDC: 519.63

Received: 10.02.2003
Revised: 25.03.2003



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