IJPAM: Volume 30, No. 3 (2006)
LONGTIME BEHAVIOUR OF SOLUTIONS OF
A GENERALIZED CAHN-HILLIARD EQUATION
WITH ORDER PARAMETER DEPENDENT MOBILITY
A GENERALIZED CAHN-HILLIARD EQUATION
WITH ORDER PARAMETER DEPENDENT MOBILITY
Ahmed S. Bonfoh
Mathematics Section
The Abdus Salam International Centre for Theoretical Physics
Strada Costiera 11, Trieste, 34014, ITALY
e-mail: abonfoh@ictp.it
Mathematics Section
The Abdus Salam International Centre for Theoretical Physics
Strada Costiera 11, Trieste, 34014, ITALY
e-mail: abonfoh@ictp.it
Abstract.We consider a generalized Cahn-Hilliard equation based on constitutive equations derived by M. Gurtin and show the existence and uniqueness of solutions and also the existence of the finite-dimensional global attractor via the existence of an exponential attractor.
Received: June 29, 2006
AMS Subject Classification: 35A05, 35B45
Key Words and Phrases: generalized Cahn-Hilliard equation, existence and uniqueness of solutions, global attractor, exponential attractor
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 30
Issue: 3
