The convective Cahn-Hilliard equation

We consider the convective Cahn-Hilliard equation with periodic boundary conditions as an infinite dimensional dynamical system and establish the existence of a compact attractor and a finite dimensional inertial manifold that contains it. Moreover, Gevrey regularity of solutions on the attractor is established and used to prove that four nodes are determining for each solution on the attractor. (C) 2006 Elsevier Ltd. All rights reserved.