A semidiscrete scheme for a one-dimensional Cahn–Hilliard equation | Zendy

Carina Geldhauser | Zendy; Matteo Novaga | Zendy

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

Author(s) -

Carina Geldhauser,

Matteo Novaga

Publication year - 2011

Publication title -

interfaces and free boundaries mathematical analysis computation and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.964

H-Index - 39

eISSN - 1463-9971

pISSN - 1463-9963

DOI - 10.4171/ifb/260

Subject(s) - cahn–hilliard equation , limit (mathematics) , scheme (mathematics) , convergence (economics) , dimension (graph theory) , mathematics , zero (linguistics) , space (punctuation) , mathematical analysis , partial differential equation , computer science , pure mathematics , linguistics , philosophy , economics , economic growth , operating system

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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