The structure of a planar nematic liquid crystal in an oscillating Couette flow beyond the stability threshold

The deformation of a nematic liquid crystal with a planar molecule alignment under the effect of an oscillating Couette flow is theoretically described. The case of external action with amplitudes exceeding the instability threshold of the initial crystal structure is considered. The effect is analyzed by the perturbation method on the basis of the nonlinear equations of nematodynamics. The type and magnitude of the NLC structure distortions are determined as functions of the frequency and amplitude of shear.