# On a transmission problem for equation and dynamic boundary condition of Cahn–Hilliard type with nonsmooth potentials

@article{Colli2020OnAT, title={On a transmission problem for equation and dynamic boundary condition of Cahn–Hilliard type with nonsmooth potentials}, author={Pierluigi Colli and Takeshi Fukao and Hao-qing Wu}, journal={Mathematische Nachrichten}, year={2020}, volume={293}, pages={2051 - 2081} }

This paper is concerned with well‐posedness of the Cahn–Hilliard equation subject to a class of new dynamic boundary conditions. The system was recently derived in Liu–Wu (Arch. Ration. Mech. Anal. 233 (2019), 167–247) via an energetic variational approach and it naturally fulfils three physical constraints such as mass conservation, energy dissipation and force balance. The target problem examined in this paper can be viewed as a transmission problem that consists of Cahn–Hilliard type…

## 10 Citations

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