A mathematical study of a bistable nematic liquid crystal device

Costa, Fernando Pestana da; Grinfeld, Michael; Mottram, Nigel J.; Pinto, João Teixeira

http://hdl.handle.net/10400.2/1488

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Authors

Costa, Fernando Pestana da

Grinfeld, Michael

Mottram, Nigel J.

Pinto, João Teixeira

Abstract(s)

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 phaseplane methods, we give an exhaustive description of the steady state solutions and hence of the switching capabilities of the device.

Description

Electronic version of an article published as Mathematical Models and Methods in Applied Sciences Vol. 17, No. 12 (2007). p. 2009–2034. Article DOI No: 10.1142/S0218202507002546. Copyright World Scientific Publishing Company http://www.worldscientific.com/

Keywords

Nematic liquid crystals Bistable device Switching Parabolic PDEs Dynamic boundary conditions

URI

http://hdl.handle.net/10400.2/1488

Citation

Costa, Fernando Pestana da [et al.] - A mathematical study of a bistable nematic liquid crystal device. "Mathematical Models and Methods in Applied Sciences" [Em linha]. ISSN 0218-2025 (Print) 1793-6314 (Online). Vol. 17, nº 12 (2007), p. 2009–2034