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Convergence to equilibrium for smectic-A liquid crystals in 3D domains without constraints for the viscosity
dc.creator | Climent Ezquerra, María Blanca | |
dc.creator | Guillén González, Francisco Manuel | |
dc.date.accessioned | 2015-10-19T07:24:48Z | |
dc.date.available | 2015-10-19T07:24:48Z | |
dc.date.issued | 2014-06 | |
dc.identifier.citation | Climent Ezquerra, M.B. y Guillén González, F.M. (2014). Convergence to equilibrium for smectic-A liquid crystals in 3D domains without constraints for the viscosity. | |
dc.identifier.issn | 0362-546X | es |
dc.identifier.uri | http://hdl.handle.net/11441/29571 | |
dc.description.abstract | In 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.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | null | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Liquid crystals | es |
dc.subject | Navier-Stokes equations | es |
dc.subject | Ginzburg-Landau potential | es |
dc.subject | energy dissipation | es |
dc.subject | convergence to equilibrium | es |
dc.subject | Lojasiewicz-Simon's inequalities | es |
dc.title | Convergence to equilibrium for smectic-A liquid crystals in 3D domains without constraints for the viscosity | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.identifier.doi | http://dx.doi.org/10.1016/j.na.2014.02.014 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/29571 |
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