Planas, GabrielaMarín Rubio, Pedro2015-06-232015-06-232012Planas, 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), 1676-1691.1468-1218http://hdl.handle.net/11441/25930In 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.application/pdfengAtribución-NoComercial-SinDerivadas 4.0 Españahttp://creativecommons.org/licenses/by-nc-nd/4.0Phase-field modelsGlobal attractorOmega-limit setsAsymptotic behaviourinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1016/j.nonrwa.2011.11.024