Cahn–Hilliard equation on the boundary with bulk condition of Allen–Cahn type

The well-posedness of a system of partial differential equations with dynamic boundary conditions is discussed. This system is a sort of transmission problem between the dynamics in the bulk Ω and on the boundary Γ. The Poisson equation for the chemical potential and the Allen–Cahn equation for the...

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Bibliographic Details
Main Authors: Colli Pierluigi, Fukao Takeshi
Format: Article
Language:English
Published: De Gruyter 2018-07-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2018-0055