Well-posedness and long time behavior of a perturbed Cahn-Hilliard system with regular potentials

摘要

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 e goes to zero.