Published Paper
Inserted: 27 mar 2010
Last Updated: 30 mar 2017
Journal: Interfaces and Free boundaries
Volume: 13
Number: 3
Pages: 14
Year: 2011
Doi: 10.4171/IFB/260
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.
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