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Global attractors for the 3D viscous Cahn-Hillard equations in an unbounded domain

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Abstract:

In this note the 3D viscous Cahn-Hillard equation is considered in an unbounded domain. It is shown that the semigroup generated by this equation has a global attractor. The asymptotic compactness of the solution operator is obtained by the uniform estimates on the tail of solutions.

Keywords: absorbing ball; dissipative systems; global attractor; unbounded domain; viscous Cahn-Hillard equation

Document Type: Research Article

DOI: http://dx.doi.org/10.1080/00036810903156172

Affiliations: 1: Department of Mathematics Yeditepe, University Kayisdai Caddesi, Istanbul, Turkey 2: Department of Mathematics Dou⋅, University, Acbadem Kadkoy, Istanbul, Turkey

Publication date: August 1, 2009

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tandf/gapa/2009/00000088/00000008/art00004
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