The cubic Schrödinger regime of the ...
Type de document :
Compte-rendu et recension critique d'ouvrage
DOI :
Titre :
The cubic Schrödinger regime of the Landau-Lifshitz equation with a strong easy-axis anisotropy
Auteur(s) :
De Laire, André [Auteur]
Université de Lille
Systèmes de particules et systèmes dynamiques [Paradyse]
Gravejat, Philippe [Auteur]
Analyse, Géométrie et Modélisation [AGM - UMR 8088]
Université de Lille
Systèmes de particules et systèmes dynamiques [Paradyse]
Gravejat, Philippe [Auteur]
Analyse, Géométrie et Modélisation [AGM - UMR 8088]
Titre de la revue :
Revista Matemática Iberoamericana
Pagination :
95-128
Éditeur :
European Mathematical Society
Date de publication :
2021
ISSN :
0213-2230
Mot(s)-clé(s) en anglais :
Nonlinear Schrödinger equation
Asymptotic regimes
Landau-Lifshitz equation
Asymptotic regimes
Landau-Lifshitz equation
Discipline(s) HAL :
Mathématiques [math]/Equations aux dérivées partielles [math.AP]
Résumé en anglais : [en]
We pursue our work on the asymptotic regimes of the Landau-Lifshitz equation for bi-axial ferromagnets. We put the focus on the cubic Schrödinger equation, which is known to describe the dynamics in a regime of strong ...
Lire la suite >We pursue our work on the asymptotic regimes of the Landau-Lifshitz equation for bi-axial ferromagnets. We put the focus on the cubic Schrödinger equation, which is known to describe the dynamics in a regime of strong easy-axis anisotropy. In any dimension, we rigorously prove this claim for solutions with sufficient regularity. In this regime, we additionally classify the one-dimensional solitons of the Landau-Lifshitz equation and quantify their convergence towards the solitons of the one-dimensional cubic Schrödinger equation.Lire moins >
Lire la suite >We pursue our work on the asymptotic regimes of the Landau-Lifshitz equation for bi-axial ferromagnets. We put the focus on the cubic Schrödinger equation, which is known to describe the dynamics in a regime of strong easy-axis anisotropy. In any dimension, we rigorously prove this claim for solutions with sufficient regularity. In this regime, we additionally classify the one-dimensional solitons of the Landau-Lifshitz equation and quantify their convergence towards the solitons of the one-dimensional cubic Schrödinger equation.Lire moins >
Langue :
Anglais
Vulgarisation :
Non
Projet ANR :
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