Robust exponential attractors for singularly perturbed phase-field type equations

Date

2002-07-04

Authors

Miranville, Alain
Zelik, Sergey

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Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

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.

Description

Keywords

Phase-field equations, Exponential attractors, Upper and lower semicontinuity

Citation

Miranville, A., & Zelik, S. (2002). Robust exponential attractors for singularly perturbed phase-field type equations. <i>Electronic Journal of Differential Equations, 2002</i>(63), pp. 1-28.

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Attribution 4.0 International

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