Alain Miranville & Sergey Zelik
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.
Submitted April 18, 2002. Published July 4, 2002.
Math Subject Classifications: 35B40, 35B45.
Key Words: Phase-field equations, exponential attractors, upper and lower semicontinuity.
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