Asymptotics of Time Harmonic Solutions to a Thin Ferroelectric Model
Naïma Aïssa, Kamel Hamdache · Abstract and Applied Analysis · 2007
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.