Asymptotics of Time Harmonic Solutions to a Thin Ferroelectric Model
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Abstract and Applied Analysis

Asymptotics of Time Harmonic Solutions to a Thin Ferroelectric Model

Naïma Aïssa and Kamel Hamdache

Source: Abstr. Appl. Anal. Volume 2007 (2007), 14 pages.

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 $\varepsilon$ and discuss the asymptotic behavior of the time harmonic solutions to the model when $\varepsilon$ 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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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.aaa/1183666870
Digital Object Identifier: doi:10.1155/2007/61629


2008 © Hindawi Publishing Corporation