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A mathematical study of a bistable nematic liquid crystal device
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Orientador(es)
Resumo(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.
Descrição
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/
Palavras-chave
Nematic liquid crystals Bistable device Switching Parabolic PDEs Dynamic boundary conditions
Contexto Educativo
Citação
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
Editora
World Science