# The Cahn-Hilliard Equation with Forward-Backward Dynamic Boundary Condition via Vanishing Viscosity

@article{Colli2022TheCE, title={The Cahn-Hilliard Equation with Forward-Backward Dynamic Boundary Condition via Vanishing Viscosity}, author={Pierluigi Colli and Takeshi Fukao and Luca Scarpa}, journal={SIAM J. Math. Anal.}, year={2022}, volume={54}, pages={3292-3315} }

An asymptotic analysis for a system with equation and dynamic boundary condition of Cahn–Hilliard type is carried out as the coefficient of the surface diffusion acting on the phase variable tends to 0, thus obtaining a forward-backward dynamic boundary condition at the limit. This is done in a very general setting, with nonlinear terms admitting maximal monotone graphs both in the bulk and on the boundary. The two graphs are related by a growth condition, with the boundary graph that dominates…

## One Citation

A Cahn-Hilliard system with forward-backward dynamic boundary condition and non-smooth potentials

- Mathematics
- 2022

. A system with equation and dynamic boundary condition of Cahn–Hilliard type is considered. This system comes from a derivation performed in Liu–Wu (Arch. Ration. Mech. Anal. 233 (2019), 167–247)…

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