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Robust exponential attractors for singularly perturbed phase-field type equations
Journal article   Peer reviewed

Robust exponential attractors for singularly perturbed phase-field type equations

A Miranville and S Zelik
Electronic Journal of Differential Equations, Vol.2002
01/12/2002

Abstract

In this article, we construct robust (i.e. lower and upper semicontinuous) exponential attractors for singularly perturbed phase-field type equations. Moreover, we obtain estimates for the symmetric distance between these exponential attractors and that of the limit Cahn-Hilliard equation in terms of the perturbation parameter. We can note that the continuity is obtained without time shifts as it is the case in previous results. © 2002 Southwest Texas State University.

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