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Type: Artigo de periódico
Title: Global attractor and omega-limit sets structure for a phase-field model of thermal alloys
Author: Marin-Rubio, P
Planas, G
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. (C) 2011 Elsevier Ltd. All rights reserved.
Subject: Phase-field models
Global attractor
Omega-limit sets
Asymptotic behaviour
Country: Inglaterra
Editor: Pergamon-elsevier Science Ltd
Citation: Nonlinear Analysis-real World Applications. Pergamon-elsevier Science Ltd, v. 13, n. 4, n. 1676, n. 1691, 2012.
Rights: fechado
Identifier DOI: 10.1016/j.nonrwa.2011.11.024
Date Issue: 2012
Appears in Collections:Unicamp - Artigos e Outros Documentos

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