A mathematical study of a bistable nematic liquid crystal device

Detalhes bibliográficos
Autor(a) principal: Costa, Fernando Pestana da
Data de Publicação: 2007
Outros Autores: Grinfeld, Michael, Mottram, Nigel J., Pinto, João Teixeira
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.2/1488
Resumo: 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/
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spelling A mathematical study of a bistable nematic liquid crystal deviceNematic liquid crystalsBistable deviceSwitchingParabolic PDEsDynamic boundary conditionsElectronic 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/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.World ScienceRepositório AbertoCosta, Fernando Pestana daGrinfeld, MichaelMottram, Nigel J.Pinto, João Teixeira2010-05-21T11:26:12Z20072007-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/1488engCosta, 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. 2009–20340218-2025 (Print)10.1142/S0218202507002546info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-16T15:14:09Zoai:repositorioaberto.uab.pt:10400.2/1488Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:43:19.060637Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv A mathematical study of a bistable nematic liquid crystal device
title A mathematical study of a bistable nematic liquid crystal device
spellingShingle A mathematical study of a bistable nematic liquid crystal device
Costa, Fernando Pestana da
Nematic liquid crystals
Bistable device
Switching
Parabolic PDEs
Dynamic boundary conditions
title_short A mathematical study of a bistable nematic liquid crystal device
title_full A mathematical study of a bistable nematic liquid crystal device
title_fullStr A mathematical study of a bistable nematic liquid crystal device
title_full_unstemmed A mathematical study of a bistable nematic liquid crystal device
title_sort A mathematical study of a bistable nematic liquid crystal device
author Costa, Fernando Pestana da
author_facet Costa, Fernando Pestana da
Grinfeld, Michael
Mottram, Nigel J.
Pinto, João Teixeira
author_role author
author2 Grinfeld, Michael
Mottram, Nigel J.
Pinto, João Teixeira
author2_role author
author
author
dc.contributor.none.fl_str_mv Repositório Aberto
dc.contributor.author.fl_str_mv Costa, Fernando Pestana da
Grinfeld, Michael
Mottram, Nigel J.
Pinto, João Teixeira
dc.subject.por.fl_str_mv Nematic liquid crystals
Bistable device
Switching
Parabolic PDEs
Dynamic boundary conditions
topic Nematic liquid crystals
Bistable device
Switching
Parabolic PDEs
Dynamic boundary conditions
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/
publishDate 2007
dc.date.none.fl_str_mv 2007
2007-01-01T00:00:00Z
2010-05-21T11:26:12Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.2/1488
url http://hdl.handle.net/10400.2/1488
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 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
0218-2025 (Print)
10.1142/S0218202507002546
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv World Science
publisher.none.fl_str_mv World Science
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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