A semidiscrete scheme for a one-dimensional Cahn-Hilliard equation
Geldhauser, Carina LU
and Novaga, Matteo
(2011)
In Interfaces and Free Boundaries
13(3).
p.327-339
- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/6af63bbf-e4da-4539-a262-f3ddc178349a
- author
- Geldhauser, Carina
LU
and Novaga, Matteo
- publishing date
- 2011
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Finite element method, Forward-backward parabolic equations, Nonconvex functionals
- in
- Interfaces and Free Boundaries
- volume
- 13
- issue
- 3
- pages
- 13 pages
- publisher
- European Mathematical Society Publishing House
- external identifiers
-
- scopus:80054902774
- ISSN
- 1463-9963
- DOI
- 10.4171/ifb/260
- language
- English
- LU publication?
- no
- id
- 6af63bbf-e4da-4539-a262-f3ddc178349a
- date added to LUP
- 2021-02-08 12:08:14
- date last changed
- 2022-02-08 13:06:20
@article{6af63bbf-e4da-4539-a262-f3ddc178349a,
abstract = {{<p>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.</p>}},
author = {{Geldhauser, Carina and Novaga, Matteo}},
issn = {{1463-9963}},
keywords = {{Finite element method; Forward-backward parabolic equations; Nonconvex functionals}},
language = {{eng}},
number = {{3}},
pages = {{327--339}},
publisher = {{European Mathematical Society Publishing House}},
series = {{Interfaces and Free Boundaries}},
title = {{A semidiscrete scheme for a one-dimensional Cahn-Hilliard equation}},
url = {{http://dx.doi.org/10.4171/ifb/260}},
doi = {{10.4171/ifb/260}},
volume = {{13}},
year = {{2011}},
}