In this paper, we consider a Cahn-Hilliard equation characterized by the presence of a singular potential (e.g., of logarithmic type). We prove well-posedness results in the case when boundary conditions of dynamical type are assumed. From the physical point of view these conditions have been proposed in order to account for the interaction with walls in confined systems.
On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions
GILARDI, GIANNI MARIA;SCHIMPERNA, GIULIO FERNANDO
2009-01-01
Abstract
In this paper, we consider a Cahn-Hilliard equation characterized by the presence of a singular potential (e.g., of logarithmic type). We prove well-posedness results in the case when boundary conditions of dynamical type are assumed. From the physical point of view these conditions have been proposed in order to account for the interaction with walls in confined systems.File in questo prodotto:
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