  The impact of flexoelectric coupling on polarization reversal kinetics and
space charge dynamics in thin films of ferroelectric-semiconductors has been
theoretically studied. The relaxation-type Landau-Khalatnikov equation together
with the Poisson equation and the theory of elasticity equations have been used
to calculate in a self-consistent way the spatial-temporal development of
ferroelectric polarization, electric potential and space charge, elastic
stresses, strains and their gradients. The analysis of the obtained results
reveals a moderate increase of the flexocoupling influence on the polarization,
elastic strain, electric potential and space charge distribution dynamics with
the decrease of a ferroelectric film thickness. In contrast, the dependence of
polarization switching time on the applied electric field is strongly affected
by the flexocoupling strength. The polarization reversal process consists
typically of two stages, the first stage has no characteristic time, while the
second one exhibits a switching time strongly dependent on the applied electric
field.
