Geodesic
A semidiscrete scheme for a one-dimensional Cahn–Hilliard equation
Carina Geldhauser1 ; Matteo Novaga2 orcid
1Universität Bonn, Germany
2Università di Pisa, Italy
Interfaces and free boundaries, Tome 13 (2011) no. 3, pp. 327-339

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DOI

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.
DOI : 10.4171/ifb/260
Classification : 00-XX
Mots-clés : Nonconvex functionals; forward-backward parabolic equations; finite element method

Carina Geldhauser  1   ; Matteo Novaga  2

1 Universität Bonn, Germany
2 Università di Pisa, Italy 
Carina Geldhauser; Matteo Novaga. A semidiscrete scheme for a one-dimensional Cahn–Hilliard equation. Interfaces and free boundaries, Tome 13 (2011) no. 3, pp. 327-339. doi: 10.4171/ifb/260
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     title = {A semidiscrete scheme for a one-dimensional {Cahn{\textendash}Hilliard} equation},
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     pages = {327--339},
     year = {2011},
     volume = {13},
     number = {3},
     doi = {10.4171/ifb/260},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/260/}
}
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