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

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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.

Original languageEnglish
Pages (from-to)395-407
Number of pages13
JournalProceedings of the Royal Society of Edinburgh: Section A Mathematics
Volume148
Issue number2
Early online date17 Oct 2017
DOIs
Publication statusPublished - 1 Apr 2018

Keywords

  • Landau–Lifshitz–Gilbert equations
  • magnetic domain walls
  • travelling waves
  • existence of solutions

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