Long Time Behavior of the Cahn-HilliardEquation with Irregular Potentials andDynamic Boundary Conditions

Citation:

Gianni GILARDI,Alain MIRANVILLE,Giulio SCHIMPERNA.Long Time Behavior of the Cahn-HilliardEquation with Irregular Potentials andDynamic Boundary Conditions[J].Chinese Annals of Mathematics B,2010,31(5):679~712
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Authors:

Gianni GILARDI; Alain MIRANVILLE; Giulio SCHIMPERNA;
Abstract: The Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions is considered. The existence of the global attractor is proved and the long time behavior of the trajectories, namely, the convergence to steady states, is studied.

Keywords:

Cahn-Hilliard equation, Dynamic boundary conditions, Irregular potentials, Global attractor, ω-limit sets, Convergence to steady states

Classification:

35K55, 35K50, 82C26
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