Existence of travelling-wave solutions representing domain wall motion in a thin ferromagnetic nanowire
Analysis of PDEs
2016-05-30 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1512.06016,
title = {Existence of travelling-wave solutions representing domain wall motion in a thin ferromagnetic nanowire},
author = {Ross G. Lund and J. M. Robbins and Valeriy Slastikov},
journal= {arXiv preprint arXiv:1512.06016},
year = {2016}
}
Comments
12 pages