Exact solutions for a nonstandard viscous Cahn—Hilliard system

TitleExact solutions for a nonstandard viscous Cahn—Hilliard system
Publication TypeJournal Article
Year of Publication2017
AuthorsMchedlov-Petrosyan, PO, Davydov, LN
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2017.07.037
Issue7
SectionPhysics
Pagination37-42
Date Published7/2017
LanguageEnglish
Abstract

The one-dimensional version of a nonstandard viscous Cahn–Hilliard system (proposed by Colli et al.) for the order parameter and chemical potential with a generally asymmetric polynomial double-well potential is considered. For this system, an exact travelling wave solution, which describes the advancing front of a phase transformation in an infinite domain, is found.
KeywordsCahn—Hilliard equation, phase transition, travelling wave solution
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