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Type: Artigo de periódico
Title: Asymptotic behaviour of a phase-field model with three coupled equations without uniqueness
Author: Marin-Rubio, P
Planas, G
Real, J
Abstract: We prove the existence of weak solutions for a phase-field model with three coupled equations with unknown uniqueness, and state several dynamical systems depending on the regularity of the initial data. Then, the existence of families of global attractors (level-set depending) for the corresponding multi-valued semiflows is established, applying an energy method. Finally, using the regularizing effect of the problem, we prove that these attractors are in fact the same. (c) 2009 Elsevier Inc. All rights reserved.
Subject: Phase-field model
Multi-valued dynamical systems
Global attractors
Country: EUA
Editor: Academic Press Inc Elsevier Science
Rights: fechado
Identifier DOI: 10.1016/j.jde.2009.01.021
Date Issue: 2009
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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