Existence of travelling-wave solutions representing domain wall motion in a thin ferromagnetic nanowire

Document Type

Article

Publication Date

4-1-2018

Abstract

We study the dynamics of a domain wall under the influence of applied magnetic fields in a one-dimensional ferromagnetic nanowire, governed by the Landau-Lifshitz-Gilbert equation. Existence of travelling-wave solutions close to two known static solutions is proven using implicit-function-theorem-type arguments.

Identifier

85032185728 (Scopus)

Publication Title

Proceedings of the Royal Society of Edinburgh Section A Mathematics

External Full Text Location

https://doi.org/10.1017/S0308210517000130

e-ISSN

14737124

ISSN

03082105

First Page

395

Last Page

407

Issue

2

Volume

148

Grant

EP/K02390X/1

Fund Ref

Engineering and Physical Sciences Research Council

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