Abstract
We consider a model of a bistable nematic liquid crystal device based on the Ericksen–Leslie theory. The resulting mathematical object is a parabolic PDE with nonlinear dynamic boundary conditions. We analyze well-posedness of the problem and global existence of solutions using the theory developed by Amann. Furthermore, using phase-plane methods, we give an exhaustive description of the steady state solutions and hence of the switching capabilities of the device.
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