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arXiv · 1512.06016

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

Ross G. Lund·J. M. 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.

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Ross G. Lund, J. M. Robbins, Valeriy Slastikov. 2015-12-18. Existence of travelling-wave solutions representing domain wall motion in a thin ferromagnetic nanowire. https://arxiv.org/abs/1512.06016

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