Basic principles and practical applications of the Cahn-Hilliard equation
type: Item
instance of: scholarly article
title: Basic principles and practical applications of the Cahn-Hilliard equation
zbMATH Open document ID: 1400.35157
DOI: 10.1155/2016/9532608
author: Junseok Kim
author: Seunggyu Lee
author: Yongho Choi
author: Seok-Min Lee
author: Darae Jeong
published in: Mathematical Problems in Engineering
publication date: 2018-10-12T00:00:00Z
review text: Summary: The celebrated Cahn-Hilliard (CH) equation was proposed to model the process of phase separation in binary alloys by Cahn and Hilliard. Since then the equation has been extended to a variety of chemical, physical, biological, and other engineering fields such as spinodal decomposition, diblock copolymer, image inpainting, multiphase fluid flows, microstructures with elastic inhomogeneity, tumor growth simulation, and topology optimization. Therefore, it is important to understand the basic mechanism of the CH equation in each modeling type. In this paper, we review the applications of the CH equation and describe the basic mechanism of each modeling type with helpful references and computational simulation results.
Mathematics Subject Classification ID: 35K35
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 74N20
Mathematics Subject Classification ID: 76T99
Mathematics Subject Classification ID: 80A22
Mathematics Subject Classification ID: 92B25
zbMATH DE Number: 6953804
Wikidata QID: Q59141290
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/9532608
OpenAlex ID: W2545467941
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description: scientific article; zbMATH DE number 6953804