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Global attractor for the Cahn-Hilliard system

Published online by Cambridge University Press:  17 April 2009

Jan W. Cholewa  and
Tomasz Dlotko
Jan W. Cholewa
Affiliation:
Institute of Mathematics Silesian University40-007 Katowice, Poland
Tomasz Dlotko
Affiliation:
Institute of Mathematics Silesian University40-007 Katowice, Poland
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The Cahn-Hilliard system, a natural extension of the single Cahn-Hilliard equation in the case of multicomponent alloys, will be shown to generate a dissipative semigroup on the phase space ℋ = [H2(Ω)]m. Following Hale's ideas and based on the existence and form of the Lyapunov functional, our main result will be the existence of a global attractor on a subset of ℋ. New difficulties specific to the system case make our problem interesting.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 49 , Issue 2 , April 1994 , pp. 277 - 292
Copyright
Copyright © Australian Mathematical Society 1994

References

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