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- Title
Analysis of the Cahn-Hilliard Equation with a Relaxation Boundary Condition Modeling the Contact Angle Dynamics.
- Authors
Chen, Xinfu; Wang, Xiaoping; Xu, Xianmin
- Abstract
We analyze the Cahn-Hilliard equation with a relaxation boundary condition modeling the evolution of an interface in contact with the solid boundary. An L estimate is established which enables us to prove the global existence of the solution. We also study the sharp interface limit of the system. The dynamic of the contact point and the contact angle are derived and the results are compared with the numerical simulations.
- Subjects
CAHN-Hilliard-Cook equation; BOUNDARY value problems; CONTACT angle; MATHEMATICAL proofs; COMPUTER simulation; EXISTENCE theorems; MATHEMATICAL models
- Publication
Archive for Rational Mechanics & Analysis, 2014, Vol 213, Issue 1, p1
- ISSN
0003-9527
- Publication type
Article
- DOI
10.1007/s00205-013-0713-x