The Cahn-Hilliard equation with dynamic boundary conditions

Prof. A. Miranville (Université de Poitiers, France)

Our aim in this talk is to discuss the Cahn-Hilliard equation for phase separation endowed with dynamic boundary conditions. Such boundary conditions have been proposed in order to account for the interactions with the walls. In particular, we can prove the existence and uniqueness of solutions for a large class of potentials, including logarithmic potentials. Furthermore, for general potentials, we can construct finite dimensional attractors.