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Travelling-wave spatially periodic forcing of asymmetric binary mixtures
Author(s)
Date Issued
2019-06
Date Available
2019-03-25T12:06:46Z
Abstract
We study travelling-wave spatially periodic solutions of a forced Cahn–Hilliard equation. This is a model for phase separation of a binary mixture, subject to external forcing. We look at arbitrary values of the mean mixture concentration, corresponding to asymmetric mixtures (previous studies have only considered the symmetric case). We characterize in depth one particular solution which consists of an oscillation around the mean concentration level, using a range of techniques, both numerical and analytical. We determine the stability of this solution to small-amplitude perturbations. Next, we use methods developed elsewhere in the context of shallow-water waves to uncover a (possibly infinite) family of multiple-spike solutions for the concentration profile, which linear stability analysis demonstrates to be unstable. Throughout the work, we perform thorough parametric studies to outline for which parameter values the different solution types occur.
Sponsorship
European Commission Horizon 2020
Type of Material
Journal Article
Publisher
Elsevier
Journal
Physica D: Nonlinear Phenomena
Volume
393
Start Page
24
End Page
37
Copyright (Published Version)
2019 Elsevier
Language
English
Status of Item
Peer reviewed
ISSN
0167-2789
This item is made available under a Creative Commons License
File(s)
No Thumbnail Available
Name
paper_draft4.pdf
Size
811.13 KB
Format
Adobe PDF
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