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 and discuss the asymptotic behavior of the time harmonic solutions to the model when tends to . 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.
"Asymptotics of Time Harmonic Solutions to a Thin Ferroelectric Model." Abstr. Appl. Anal. 2007 1 - 14, 2007. https://doi.org/10.1155/2007/61629