On the Cahn-Hilliard equation with dynamic boundary conditions and a dominating boundary potential

preprint2014arXivOpen access

Abstract

The Cahn-Hilliard and viscous Cahn-Hilliard equations with singular and possibly nonsmooth potentials and dynamic boundary condition are considered and some well-posedness and regularity results are proved. Key words: Cahn-Hilliard equation, dynamic boundary conditions, phase separation, irregular potentials, well-posedness.

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