Utilize este identificador para referenciar este registo: http://hdl.handle.net/10400.2/1488
Título: A mathematical study of a bistable nematic liquid crystal device
Autor: Costa, Fernando Pestana da
Grinfeld, Michael
Mottram, Nigel J.
Pinto, João Teixeira
Palavras-chave: Nematic liquid crystals
Bistable device
Switching
Parabolic PDEs
Dynamic boundary conditions
Data: 2007
Editora: World Science
Citação: Costa, Fernando Pestana da [et al.] - A mathematical study of a bistable nematic liquid crystal device. "Mathematical Models and Methods in Applied Sciences". ISSN 0218-2025 (Print) 1793-6314 (Online). Vol. 17, No. 12 (2007), p. 2009–2034
Resumo: 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/
URI: http://hdl.handle.net/10400.2/1488
ISSN: 0218-2025 (Print)
1793-6314 (Online)
Versão do Editor: DOI 10.1142/S0218202507002546
Aparece nas colecções:Matemática e Estatística - Artigos em revistas internacionais / Papers in international journals

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