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Artículo
Global Attractor and Omega-Limit Sets Structure for a Phase-Field Model of Thermal Alloys
dc.creator | Planas, Gabriela | |
dc.creator | Marín Rubio, Pedro | |
dc.date.accessioned | 2015-06-23T13:55:06Z | |
dc.date.available | 2015-06-23T13:55:06Z | |
dc.date.issued | 2012 | |
dc.identifier.citation | Planas, G. y Marín Rubio, P. (2012). Global Attractor and Omega-Limit Sets Structure for a Phase-Field Model of Thermal Alloys. Nonlinear Analysis: Real World Applications, 13 (4), 1676-1691. | es |
dc.identifier.issn | 1468-1218 | |
dc.identifier.uri | http://hdl.handle.net/11441/25930 | |
dc.description.abstract | In this paper, the existence of weak solutions is established for a phase-field model of thermal alloys supplemented with Dirichlet boundary conditions. After that, the existence of global attractors for the associated multi-valued dynamical systems is proved, and the relationship among these sets is established. Finally, we provide a more detailed description of the asymptotic behaviour of solutions via the omega-limit sets. Namely, we obtain a characterization–through the natural stationary system associated to the model–of the elements belonging to the omega-limit sets under suitable assumptions. | |
dc.format | application/pdf | |
dc.language.iso | eng | |
dc.publisher | Elsevier | |
dc.relation.ispartof | Nonlinear Analysis: Real World Applications, 13(4), 1676-1691 | |
dc.rights | Atribución-NoComercial-SinDerivadas 4.0 España | |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0 | |
dc.subject | Phase-field models | |
dc.subject | Global attractor | |
dc.subject | Omega-limit sets | |
dc.subject | Asymptotic behaviour | |
dc.title | Global Attractor and Omega-Limit Sets Structure for a Phase-Field Model of Thermal Alloys | |
dc.type | info:eu-repo/semantics/article | |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | |
dc.relation.publisherversion | ||
dc.identifier.doi | http://dx.doi.org/10.1016/j.nonrwa.2011.11.024 | es |
dc.journaltitle | Nonlinear Analysis: Real World Applications | es |
dc.publication.volumen | 13 | es |
dc.publication.issue | 4 | es |
dc.publication.initialPage | 1676 | es |
dc.publication.endPage | 1691 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/25930 |
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