# American Institute of Mathematical Sciences

July  2008, 7(4): 819-836. doi: 10.3934/cpaa.2008.7.819

## Robust exponential attractors for a conserved Cahn-Hilliard model with singularly perturbed boundary conditions

 1 Department of Mathematics, University of Missouri, Columbia, MO, 65211, United States

Received  March 2007 Revised  January 2008 Published  April 2008

In this article, we construct a robust (that is, lower and upper semi-continuous) family of exponential attractors for a conserved Cahn-Hilliard model with the perturbation parameter in the boundary conditions. We note that the existence of a global attractor with finite dimension follows. Moreover, we prove the upper semi-continuity of the limiting attractor with respect to the family of perturbed global attractors.
Citation: Ciprian G. Gal. Robust exponential attractors for a conserved Cahn-Hilliard model with singularly perturbed boundary conditions. Communications on Pure & Applied Analysis, 2008, 7 (4) : 819-836. doi: 10.3934/cpaa.2008.7.819
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