Abstract and Applied Analysis

Abstract and Applied Analysis / 2007 / Article

Research Article | Open Access

Volume 2007 |Article ID 061629 | https://doi.org/10.1155/2007/61629

Naïma Aïssa, Kamel Hamdache, "Asymptotics of Time Harmonic Solutions to a Thin Ferroelectric Model", Abstract and Applied Analysis, vol. 2007, Article ID 061629, 14 pages, 2007. https://doi.org/10.1155/2007/61629

Asymptotics of Time Harmonic Solutions to a Thin Ferroelectric Model

Academic Editor: Nicholas Dimitrios Alikakos
Received19 Apr 2005
Revised31 Jan 2007
Accepted01 Feb 2007
Published10 Apr 2007

Abstract

We introduce new model equations to describe the dynamics of the electric polarization in a ferroelectric material. We consider a thin cylinder representing the material with thickness ɛ and discuss the asymptotic behavior of the time harmonic solutions to the model when ɛ tends to 0. We obtain a reduced model settled in the cross-section of the cylinder describing the dynamics of the plane components of the polarization and electric fields.

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Copyright © 2007 Naïma Aïssa and Kamel Hamdache. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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