Asymptotics of Time Harmonic Solutions to a Thin Ferroelectric Model

Naïma Aïssa and Kamel Hamdache

Abstract and Applied Analysis, 2007, vol. 2007, issue 1

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.

Date: 2007
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https://doi.org/10.1155/2007/61629

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2007:y:2007:i:1:n:061629

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