Ó Náraigh, LennonLennonÓ Náraigh2019-03-252019-03-252019 Elsev2019-06Physica D: Nonlinear Phenomena0167-2789http://hdl.handle.net/10197/9668We 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.enThis is the author’s version of a work that was accepted for publication in Physica D: Nonlinear Phenomena. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Physica D: Nonlinear Phenomena (393, (2019)) https://doi.org/10.1016/j.physd.2019.01.001Multiphase flowsPhase separationNonliner dynamicsJournal Article393243710.1016/j.physd.2019.01.0012019-03-13778104https://creativecommons.org/licenses/by-nc-nd/3.0/ie/