Long Time Behavior of the Cahn-Hilliard Equation with Irregular Potentials and Dynamic Boundary Conditions

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.

作 者： Gianni GILARDI Alain MIRANVILLE Giulio SCHIMPERNA   作者單位： Gianni GILARDI(Dipartimento di Matematica, Università di Pavia, Via Ferrata, 1 I-27100 Pavia, Italy)

Alain MIRANVILLE(Laboratoire de Mathématiques et Applications, Université de Poitiers, Boulevard Marie et Pierre Curie Téléport 2, 86962 Chasseneuil Futuroscope Cedex, France)

Giulio SCHIMPERNA(Dipartimento di Matenatica, Università di Pavia, Via Ferrata, 1 I-27100 Pavia, Italy) 

刊 名： 數(shù)學年刊B輯（英文版）  ISTIC SCI 英文刊名： CHINESE ANNALS OF MATHEMATICS,SERIES B  年，卷(期)： 2010 31(5)  分類號： O1  關(guān)鍵詞： Cahn-Hilliard equation   Dynamic boundary conditions   Irregular potentials   Global attractor   ω-limit sets   Convergence to steady states  

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