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- Kickback in nematic liquid crystalsPublication . Costa, Fernando Pestana da; Grinfeld, Michael; Langer, Mathias; Mottram, Nigel J.; Pinto, João TeixeiraWe describe a nonlocal linear partial differential equation arising in the analysis of dynamics of a nematic liquid crystal. We confirm that it accounts for the kickback phenomenon by decoupling the director dynamics from the flow. We also analyse some of the mathematical properties of the decoupled director equation.
- A mathematical study of a bistable nematic liquid crystal devicePublication . Costa, Fernando Pestana da; Grinfeld, Michael; Mottram, Nigel J.; Pinto, João TeixeiraWe 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 phaseplane methods, we give an exhaustive description of the steady state solutions and hence of the switching capabilities of the device.