Relaxation of Distortions in a Nematic Thin Film with Weak Anchoring Condition

Dynamical properties of a nematic thin film are investigated under the weak anchoring condition on the boundaries. By solving the equations for small distortions, their asymptotic behaviors are found. Numerical solutions of nonlinear equations for the director field are obtained both in case of small and large distortions around the lower and upper threshold fields. The asymptotic behaviors of these solutions are compared with the analytical results. It is concluded that the dynamics around the upper critical field is governed by the boundaries and strongly space dependent.