title: Domain wall motion in magnetic nanowires: an asymptotic approach.
abstract: We develop a systematic asymptotic description for domain wall motion in one-dimensional magnetic nanowires under the influence of small applied magnetic fields and currents and small material anisotropy. The magnetization dynamics, as governed by the Landau-Lifshitz-Gilbert equation, is investigated via a perturbation expansion. We compute leading-order behaviour, propagation velocities and first-order corrections of both travelling waves and oscillatory solutions, and find bifurcations between these two types of solutions. This treatment provides a sound mathematical foundation for numerous results in the literature obtained through moread hocarguments.
authors.affiliation: Department of Mathematics and Information Sciences , Northumbria University , Newcastle upon Tyne NE1 8ST, UK ; Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Straße 38, 01187 Dresden, Germany.
authors.forename: Arseni
authors.initials: A
authors.lastname: Goussev
authors.affiliation: School of Mathematics , University of Bristol , Bristol BS8 1TW, UK.
authors.forename: Ross G
authors.initials: RG
authors.lastname: Lund
authors.affiliation: School of Mathematics , University of Bristol , Bristol BS8 1TW, UK.
authors.forename: J M
authors.initials: JM
authors.lastname: Robbins
authors.affiliation: School of Mathematics , University of Bristol , Bristol BS8 1TW, UK.
authors.forename: Valeriy
authors.initials: V
authors.lastname: Slastikov
authors.affiliation: School of Mathematics , University of Bristol , Bristol BS8 1TW, UK.
authors.forename: Charles
authors.initials: C
authors.lastname: Sonnenberg
keywords: domain wall motion; micromagnetics; nanowires