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

Ross Lund; Jonathan Robbins; Valeriy Slastikov

doi:10.1017/S0308210517000130

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

Ross Lund, Jonathan Robbins, Valeriy Slastikov

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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 language	English
Pages (from-to)	395-407
Number of pages	13
Journal	Proceedings of the Royal Society of Edinburgh: Section A Mathematics
Volume	148
Issue number	2
Early online date	17 Oct 2017
DOIs	https://doi.org/10.1017/S0308210517000130
Publication status	Published - 1 Apr 2018

Keywords

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

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10.1017/S0308210517000130

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This is the author accepted manuscript (AAM). The final published version (version of record) is available online via Cambridge University Press at https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/existence-of-travellingwave-solutions-representing-domain-wall-motion-in-a-thin-ferromagnetic-nanowire/652FA101698A39213A163A653CE9CC9C . Please refer to any applicable terms of use of the publisher.
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Existence of travelling-wave solutions representing domain wall motion in a thin ferromagnetic nanowire

Abstract

Keywords

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Mathematical analysis of domain wall motion in nanowires.

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

Abstract

Keywords

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Mathematical analysis of domain wall motion in nanowires.

Cite this