Abstract
We analyze a semidiscrete scheme for the Cahn-Hilliard equation in one space dimension, when the interface length parameter is equal to zero. We prove convergence of the scheme for a suitable class of initial data, and we identify the limit equation. We also characterize the long-time behavior of the limit solutions.
| Original language | English |
|---|---|
| Pages (from-to) | 327-339 |
| Number of pages | 13 |
| Journal | Interfaces and Free Boundaries |
| Volume | 13 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2011 |
| Externally published | Yes |
Subject classification (UKÄ)
- Computational Mathematics
Free keywords
- Finite element method
- Forward-backward parabolic equations
- Nonconvex functionals