Travelling-wave spatially periodic forcing of asymmetric binary mixtures

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Title: Travelling-wave spatially periodic forcing of asymmetric binary mixtures
Authors: Ó Náraigh, Lennon
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Date: 22-Jan-2019
Online since: 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.
Funding Details: European Commission Horizon 2020
Type of material: Journal Article
Publisher: Elsevier
Journal: Physica D: Nonlinear Phenomena
Copyright (published version): 2019 Elsevier
Keywords: Multiphase flowsPhase separationNonliner dynamics
DOI: 10.1016/j.physd.2019.01.001
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mathematics and Statistics Research Collection

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