The cubic Schrödinger regime of the Landau–Lifshitz equation with a strong easy-axis anisotropy

We pursue our work on the asymptotic regimes of the Landau–Lifshitz equation. We put the focus on the cubic Schrödinger equation, which is known to describe the dynamics of uniaxial ferromagnets in a regime of strong easy-axis anisotropy. In any dimension, we rigorously prove this claim for solution...

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Veröffentlicht in:	Revista matemática iberoamericana 2021-01, Vol.37 (1), p.95-128
Hauptverfasser:	de Laire, André, Gravejat, Philippe
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis of PDEs Anisotropy Dynamical systems and ergodic theory Mathematics Partial differential equations Statistical mechanics, structure of matter
Online-Zugang:	Volltext
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