Full paper in PDF:
$%A. Jiménez-Casas and A. Rodríguez-Bernal, Asymptotic behavior for a phase field model in higher order Sobolev spaces, Rev. Mat. Complut. 15 (2002), no. 1, 213–248.%$

Asymptotic Behavior for a Phase Field Model in Higher Order Sobolev Spaces
Departamento de Matemática Aplicada y Computación
Universidad Pontificia Comillas
Madrid — Spain
Departamento de Matemática Aplicada
Universidad Complutense de Madrid
Madrid 28040 — Spain

Received: December 23, 2000
Revised: April 5, 2001


In this paper we analyze the long time behavior of a phase-field model by showing the existence of global compact attractors in the strong norm of high order Sobolev spaces.

2000 Mathematics Subject Classification: 35B35, 35B40, 35K, 35Q.