Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 143, pp. 1-23.

Title: Exponential attractors for a Cahn-Hilliard model in bounded
       domains with permeable walls

Author: Ciprian G. Gal (Uinv. of Memphis, TN, USA)
	 
Abstract: 
  In a previous article [7], we proposed a model of phase separation in a
 binary mixture confined to a bounded region which may be contained within
 porous walls. The boundary conditions were derived from a mass conservation
 law and variational methods. In the present paper, we study the problem
 further. Using a Faedo-Galerkin method, we obtain the existence and
 uniqueness of a global solution to our problem, under more general
 assumptions than those in [7]. We then study its asymptotic behavior and
 prove the existence of an exponential attractor (and thus of a global
 attractor) with finite dimension.
 
 
Submitted August 30, 2006. Published November 16, 2006.
Math Subject Classifications: 35K55, 74N20, 35B40, 35B45, 37L30.
Key Words: Phase separation; Cahn-Hilliard equations; 
    dynamic boundary conditions; exponential attractors; 
    global attractors; Laplace-Beltrami differential operators.