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Finite-dimensional attractor for the viscous Cahn-Hilliard equation in an unbounded domain
Author(s):
Ahmed
Bonfoh
Journal:
Quart. Appl. Math.
64
(2006),
93-104.
MSC (2000):
Primary 35A05, 35B40, 35B45
Posted:
January 24, 2006
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Additional information
Abstract:
We consider the viscous Cahn-Hilliard equation in an infinite domain. Due to the noncompactness of operators, we use weighted Sobolev spaces to prove that the semigroup generated by this equation has the global attractor which has finite Hausdorff dimension.
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Additional Information:
Ahmed
Bonfoh
Affiliation:
Laboratoire de Mathématiques Calcul Asymptotique, Université de La Rochelle, Avenue Michel Crépeau, 17042 La Rochelle Cedex 01, France
Email:
sanbonf@yahoo.fr
PII:
S0033-569X-06-00988-3
Keywords:
Viscous Cahn-Hilliard equation,
weighted Sobolev spaces,
global attractor,
Hausdorff dimension
Received by editor(s):
March, 2005
Posted:
January 24, 2006
Copyright of article:
Copyright
2006,
Brown University
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