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The aim of this paper is to study the well-posedness and long time behavior, in terms of finite-dimensional attractors, of a perturbed Cahn–Hilliard equation. This equation differs from the usual Cahn–Hilliard by the presence of the term ε(−Δu + f (u)). In particular, we prove the existence of a robust family of exponential attractors as ε goes to zero.
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