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arxiv: 1512.06016 · v2 · pith:J6IABFRSnew · submitted 2015-12-18 · 🧮 math.AP · math-ph· math.MP

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

classification 🧮 math.AP math-phmath.MP
keywords solutionsdomainexistenceferromagneticnanowiretravelling-wavewallapplied
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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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