Exact solutions for a nonstandard viscous Cahn—Hilliard system

1Mchedlov-Petrosyan, PO, 1Davydov, LN
1NSC "Kharkov Institute of Physics and Technology" of the NAS of Ukraine
Dopov. Nac. akad. nauk Ukr. 2017, 7:37-42
https://doi.org/10.15407/dopovidi2017.07.037
Section: Physics
Language: English
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.

Keywords: Cahn—Hilliard equation, phase transition, travelling wave solution
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