An Energetic Variational Approach for the Cahn–Hilliard Equation with Dynamic Boundary Condition: Model Derivation and Mathematical Analysis

@article{Liu2019AnEV,
  title={An Energetic Variational Approach for the Cahn–Hilliard Equation with Dynamic Boundary Condition: Model Derivation and Mathematical Analysis},
  author={Chun Liu and Hao-qing Wu},
  journal={Archive for Rational Mechanics and Analysis},
  year={2019},
  volume={233},
  pages={167-247}
}
  • Chun Liu, Hao-qing Wu
  • Published 23 October 2017
  • Mathematics
  • Archive for Rational Mechanics and Analysis
The Cahn–Hilliard equation is a fundamental model that describes phase separation processes of binary mixtures. In recent years, several types of dynamic boundary conditions have been proposed in order to account for possible short-range interactions of the material with the solid wall. Our first aim in this paper is to propose a new class of dynamic boundary conditions for the Cahn–Hilliard equation in a rather general setting. The derivation is based on an energetic variational approach that… 

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