A semidiscrete scheme for a one-dimensional Cahn-Hilliard equation

作者：Geldhauser Carina^*; Novaga Matteo

来源：INTERFACES AND FREE BOUNDARIES, 2011, 13(3): 327-339.

DOI：10.4171/IFB/260

• Nonconvex functionals
• forward-backward parabolic equations
• finite element method

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.

• 出版日期2011