Abstract and Applied Analysis
Volume 2007 (2007), Article ID 61629, 14 pages
doi:10.1155/2007/61629

Asymptotics of time harmonic solutions to a thin ferroelectric model

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.