The Cahn–Hilliard equation and some of its variants

The Cahn–Hilliard equation and some of its variants

Our aim in this article is to review and discuss the Cahn–Hilliard equation, as well as someof its variants. Such variants have applications in, e.g., biology and image inpainting.

Bibliographic Details
Main Author: Alain Miranville
Format: Article
Language:English
Published: AIMS Press 2017-09-01
Series:AIMS Mathematics
Subjects:
Cahn–Hilliard equation| Cahn–Hilliard–Oono equation| proliferation term| fidelity term|well-posedness| logarithmic nonlinear terms
Online Access:http://www.aimspress.com/article/10.3934/Math.2017.2.479/fulltext.html
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spelling doaj-b92ef2208c0744dd97569e42708220832020-11-25T00:12:47ZengAIMS PressAIMS Mathematics2473-69882017-09-012347954410.3934/Math.2017.2.479The Cahn–Hilliard equation and some of its variantsAlain Miranville0Université de Poitiers, Laboratoire de Mathématiques et Applications, UMR CNRS 7348 - SP2MI, Boulevard Marie et Pierre Curie - Téléport 2, F-86962 Chasseneuil Futuroscope Cedex, FranceOur aim in this article is to review and discuss the Cahn–Hilliard equation, as well as someof its variants. Such variants have applications in, e.g., biology and image inpainting.http://www.aimspress.com/article/10.3934/Math.2017.2.479/fulltext.htmlCahn–Hilliard equation| Cahn–Hilliard–Oono equation| proliferation term| fidelity term|well-posedness| logarithmic nonlinear terms
collection DOAJ
language English
format Article
sources DOAJ
author Alain Miranville
spellingShingle Alain Miranville
The Cahn–Hilliard equation and some of its variants
AIMS Mathematics
Cahn–Hilliard equation| Cahn–Hilliard–Oono equation| proliferation term| fidelity term|well-posedness| logarithmic nonlinear terms
author_facet Alain Miranville
author_sort Alain Miranville
title The Cahn–Hilliard equation and some of its variants
title_short The Cahn–Hilliard equation and some of its variants
title_full The Cahn–Hilliard equation and some of its variants
title_fullStr The Cahn–Hilliard equation and some of its variants
title_full_unstemmed The Cahn–Hilliard equation and some of its variants
title_sort cahn–hilliard equation and some of its variants
publisher AIMS Press
series AIMS Mathematics
issn 2473-6988
publishDate 2017-09-01
description Our aim in this article is to review and discuss the Cahn–Hilliard equation, as well as someof its variants. Such variants have applications in, e.g., biology and image inpainting.
topic Cahn–Hilliard equation| Cahn–Hilliard–Oono equation| proliferation term| fidelity term|well-posedness| logarithmic nonlinear terms
url http://www.aimspress.com/article/10.3934/Math.2017.2.479/fulltext.html
work_keys_str_mv AT alainmiranville thecahnhilliardequationandsomeofitsvariants
AT alainmiranville cahnhilliardequationandsomeofitsvariants
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