Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 23, pp. 1-16.

Title: Convergence to equilibria for a three-dimensional
       conserved phase-field system with memory
 
Author: Gianluca Mola (Politecnico di Milano, Italy)

Abstract: 
 We consider a conserved phase-field system with thermal memory
 on a tridimensional bounded domain.
 Assuming that the nonlinearity is real analytic, we use a
 Lojasiewicz-Simon type inequality to study the convergence to
 steady states of single trajectories. We also give an estimate of
 the convergence rate.
 
Submitted November 28, 2007. Published February 22, 2008.
Math Subject Classifications: 35B40, 35B41, 80A22.
Key Words: Conserved phase-field models; memory effects; 
    Lojasiewicz-Simon inequality; steady states; global attractor.