We consider in this article the Cahn-Hilliard equation endowed with dynamic boundary conditions. By interpreting these boundary conditions as a parabolic equation on the boundary and by considering a regularized problem, we obtain, by the Leray-Schauder principle, the existence and uniqueness of sol
✦ LIBER ✦
Analysis of the Cahn–Hilliard Equation with a Relaxation Boundary Condition Modeling the Contact Angle Dynamics
✍ Scribed by Chen, Xinfu; Wang, Xiaoping; Xu, Xianmin
- Book ID
- 121823682
- Publisher
- Springer
- Year
- 2014
- Tongue
- English
- Weight
- 410 KB
- Volume
- 213
- Category
- Article
- ISSN
- 0003-9527
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## Abstract We consider a solution of the Cahn–Hilliard equation or an associated Caginalp problem with dynamic boundary condition in the case of a general potential and prove that under some conditions on the potential it converges, as __t__ → ∞, to a stationary solution. The main tool will be the