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dc.creatorCliment Ezquerra, María Blanca
dc.creatorGuillén González, Francisco Manuel
dc.date.accessioned2015-10-19T07:24:48Z
dc.date.available2015-10-19T07:24:48Z
dc.date.issued2014-06
dc.identifier.issn0362-546Xes
dc.identifier.urihttp://hdl.handle.net/11441/29571
dc.description.abstractIn this paper, we focus on a smectic-A liquid crystal model in 3D domains, and obtain three main results: the proof of an adequate Lojasiewicz-Simon inequality by using an abstract result; the rigorous proof (via a Galerkin approach) of the existence of global intime weak solutions that become strong (and unique) in long-time; and its convergence to equilibrium of the whole trajectory as time goes to in nity. Given any regular initial data, the existence of a unique global in-time regular solution (bounded up to in nite time) and the convergence to an equilibrium have been previously proved under the constraint of a su ciently high level of viscosity. Here, all results are obtained without imposing said constraint.es
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherElsevieres
dc.relation.ispartofNonlinear Analysis: Theory, Methods & Applicationses
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectLiquid crystalses
dc.subjectNavier-Stokes equationses
dc.subjectGinzburg-Landau potentiales
dc.subjectenergy dissipationes
dc.subjectconvergence to equilibriumes
dc.subjectLojasiewicz-Simon's inequalitieses
dc.titleConvergence to equilibrium for smectic-A liquid crystals in 3D domains without constraints for the viscosityes
dc.typeinfo:eu-repo/semantics/articlees
dc.type.versioninfo:eu-repo/semantics/submittedVersion
dc.rights.accessrightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numéricoes
dc.identifier.doihttp://dx.doi.org/10.1016/j.na.2014.02.014es
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/29571

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