An overview is given on the first study of domain kinetics in time-dependent Ginzburg-Landau method in the mean-field approximation for the long-range dipole-dipole interaction in external electric fields. The free energy is calculated by the full path-integral method. Combination of full path-integral calculations and integration of the dynamic equations demonstrate that the domain alignment follows a relatively local defect movement, in each lamellae locally break up and merge again.