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Abstract
In this paper, one compares the global attractor Ap,e of the Cahn-Hilliard equation on a thin bounded annulus in IR2 with the global attractor Ap,e of the limit Cahn-Hilliard equation on the unit circle. We prove that the sets Ap,e converge toward in the Hausdorff distance as ε→0, and we give an estimate of this distance.