Long time behavior of the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions

• DOI: 10.1007/s11401-010-0602-7
• Publication Date: 2010-08-16T16:33:34Z
• Authors: Gianni Gilardi; Alain Miranville; Giulio Schimperna
• Keywords: DYNAMIC BOUNDARY CONDITION; CAHN-HILLIARD EQUATION; GLOBAL ATTRACTOR; OMEGA-LIMIT SET; 0101 mathematics; SINGULAR POTENTIAL; 01 natural sciences; 510

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.