Finite-dimensional attractor for the viscous Cahn-Hilliard equation in an unbounded domain

Bonfoh, Ahmed

doi:10.1090/S0033-569X-06-00988-3

Author: Ahmed Bonfoh
Journal: Quart. Appl. Math. 64 (2006), 93-104
MSC (2000): Primary 35A05, 35B40, 35B45
DOI: https://doi.org/10.1090/S0033-569X-06-00988-3
Published electronically: January 24, 2006
MathSciNet review: 2211379
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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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