The existence of global attractor for convective Cahn-Hilliard equation

Abstract

In this paper, we consider the convective Cahn-Hilliard equation. Based on the regularity estimates for the semigroups, iteration technique and the classical existence theorem of global attractors, we prove that the convective Cahn-Hilliard equation possesses a global attractor in Hk (k ≥ 0) space, which attracts any bounded subset of Hk(Ω) in the Hk-norm. © 2012 The Korean Mathematical Society.