Asymptotics of Time Harmonic Solutions to a Thin Ferroelectric Model

Naïma Aïssa and Kamel Hamdache

Abstract and Applied Analysis, 2007, vol. 2007, 1-14

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 É› and discuss the asymptotic behavior of the time harmonic solutions to the model when É› 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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:061629

DOI: 10.1155/2007/61629

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