Attractors for Cahn-Hilliard equations with singular potentials

Our aim is to prove the existence of finite dimensional attractors
for a family of singularly perturbed Cahn-Hilliard equations with singular
potentials (e.g., logarithmic potentials). In particular, by constructing a
continuous family  of exponential attractors, we are able to prove this result without any
assumption on the size of the spatial domain as it was the case in previous
results.