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Type: Artigo de periódico
Title: Uniqueness and long-time behavior for the conserved phase-field system with memory
Author: Colli, P
Gilardi, G
Laurencot, P
Novick-Cohen, A
Abstract: This paper is concerned with a conserved phase-field model with memory. We include memory by replacing the standard Fourier heat law with a constitutive assumption of Gurtin-Pipkin type, and the system is conservative in the sense that the initial mass of the order parameter as well as the energy are preserved during the evolution. A Cauchy-Neumann problem is investigated for this model which couples a Volterra integro-differential equation with fourth order dynamics for the phase field. A sharp uniqueness theorem is proven by demonstrating continuous dependence for a suitably weak formulation. With regard to the long-time behavior, the limit points of the trajectories are completely characterized.
Subject: phase-field equations
memory effects
initial-boundary value problem
long-time behavior
Country: EUA
Editor: Southwest Missouri State Univ
Citation: Discrete And Continuous Dynamical Systems. Southwest Missouri State Univ, v. 5, n. 2, n. 375, n. 390, 1999.
Rights: aberto
Date Issue: 1999
Appears in Collections:Unicamp - Artigos e Outros Documentos

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