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Convergence to equilibrium of global weak solutions for a Q-tensor problem related to liquid crystals
dc.creator | Climent Ezquerra, María Blanca | es |
dc.creator | Guillén González, Francisco Manuel | es |
dc.date.accessioned | 2022-11-11T09:49:11Z | |
dc.date.available | 2022-11-11T09:49:11Z | |
dc.date.issued | 2018-05-07 | |
dc.identifier.citation | Climent Ezquerra, M.B. y Guillén González, F.M. (2018). Convergence to equilibrium of global weak solutions for a Q-tensor problem related to liquid crystals. https://doi.org/10.48550/arXiv.1805.02439. | |
dc.identifier.uri | https://hdl.handle.net/11441/139301 | |
dc.description.abstract | We study a Q-tensor problem modeling the dynamic of nematic liquid crystals in 3D domains. The system consists of the Navier-Stokes equations, with an extra stress tensor depending on the elastic forces of the liquid crystal, coupled with an Allen-Cahn system for the Q-tensor variable. This problem has a dissipative in time free-energy which leads, in particular, to prove the existence of global in time weak solutions. We analyze the large-time behavior of the weak solutions. By using a Lojasiewicz-Simon's result, we prove the convergence as time goes to infinity of the whole trajectory to a single equilibrium. | es |
dc.format | application/pdf | es |
dc.format.extent | 14 p. | es |
dc.language.iso | eng | es |
dc.publisher | Cornell University | 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 | Allen-Cahn-Navier-Stokes system | es |
dc.subject | Large-time behavior for dissipative systems | es |
dc.title | Convergence to equilibrium of global weak solutions for a Q-tensor problem related to liquid crystals | es |
dc.type | info:eu-repo/semantics/article | es |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.publisherversion | https://doi.org/10.48550/arXiv.1805.02439 | es |
dc.identifier.doi | 10.48550/arXiv.1805.02439 | es |
dc.contributor.group | Universidad de Sevilla. FQM131: Ec.diferenciales,Simulacion Num.y Desarrollo Software | es |
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