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

2015/12/18 by Ross G. Lund, J. M. Robbins, Lund, Ross G. +3
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics and Thin Films #Mathematical Physics (math-ph) #math-ph #math.AP #math.MP

paper · pdf · doi:10.48550/arxiv.1512.06016

12 pages

openalex publication_date 2015/12/18 · arxiv created 2016/05/27 · arxiv updated 2016/05/30 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

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.

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