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A mathematical study of a bistable nematic liquid crystal device

2007Journal article Open access
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dc.contributor.authorCosta, Fernando Pestana da
dc.contributor.authorGrinfeld, Michael
dc.contributor.authorMottram, Nigel J.
dc.contributor.authorPinto, João Teixeira
dc.date.accessioned2010-05-21T11:26:12Z
dc.date.available2010-05-21T11:26:12Z
dc.date.issued2007
dc.descriptionElectronic 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/pt
dc.description.abstractWe 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.pt
dc.description.versionpeerreviewed
dc.identifier.citationCosta, 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. 2009–2034pt
dc.identifier.doi10.1142/S0218202507002546
dc.identifier.issn0218-2025 (Print)
dc.identifier.issn1793-6314 (Online)
dc.identifier.urihttp://hdl.handle.net/10400.2/1488
dc.language.isoengpt
dc.publisherWorld Sciencept
dc.subjectNematic liquid crystalspt
dc.subjectBistable devicept
dc.subjectSwitchingpt
dc.subjectParabolic PDEspt
dc.subjectDynamic boundary conditionspt
dc.titleA mathematical study of a bistable nematic liquid crystal devicept
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage2034pt
oaire.citation.startPage2009pt
oaire.citation.titleMathematical Models and Methods in Applied Sciences (M3AS)pt
person.familyNameCosta
person.familyNameGrinfeld
person.familyNameTeixeira Pinto
person.givenNameFernando Pestana da
person.givenNameMichael
person.givenNameJoão
person.identifier.ciencia-id1610-6502-E6C5
person.identifier.orcid0000-0002-9072-797X
person.identifier.orcid0000-0002-3897-8819
person.identifier.orcid0000-0003-0190-2113
person.identifier.ridK-5942-2013
person.identifier.scopus-author-id14827970300
person.identifier.scopus-author-id7402584922
rcaap.rightsopenAccesspt
rcaap.typearticlept
relation.isAuthorOfPublication72748d24-0598-4f36-804e-87eebd0d06af
relation.isAuthorOfPublication6057da1f-64bf-439d-8b2c-0f2282e1ef91
relation.isAuthorOfPublication378f92b2-9a55-4997-b135-4e099cd76d84
relation.isAuthorOfPublication.latestForDiscovery72748d24-0598-4f36-804e-87eebd0d06af

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