Robust exponential attractors for singularly perturbed phase-field type equations
Date
2002-07-04
Authors
Miranville, Alain
Zelik, Sergey
Journal Title
Journal ISSN
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.
Rights
Attribution 4.0 International