Titre :

Asymptotic stability of 2-domain walls for the Landau-Lifshitz-Gilbert equation in a nanowire with Dzyaloshinskii-Moriya interaction

Auteur(s) :

Côte, Raphaël [Auteur]
Institut de Recherche Mathématique Avancée [IRMA]
Ferriere, Guillaume [Auteur]
Systèmes de particules et systèmes dynamiques [Paradyse]
Institut de Recherche Mathématique Avancée [IRMA]

Titre de la revue :

International Mathematics Research Notices

Pagination :

3551-3600

Éditeur :

Oxford University Press (OUP)

Date de publication :

2024-02-21

ISSN :

1073-7928

Mot(s)-clé(s) en anglais :

Domain walls
Interaction
Large-time Behavior
Ferromagnetism
Stability
Landau-Lifshitz-Gilbert equation

Discipline(s) HAL :

Mathématiques [math]/Equations aux dérivées partielles [math.AP]

Résumé en anglais : [en]

We consider a ferromagnetic nanowire, with an energy functional E with easy-axis in the direction e_1, and which takes into account the Dzyaloshinskii-Moriya interaction. We consider configurations of the magnetization ...
Lire la suite >We consider a ferromagnetic nanowire, with an energy functional E with easy-axis in the direction e_1, and which takes into account the Dzyaloshinskii-Moriya interaction. We consider configurations of the magnetization which are perturbations of two well separated domain wall, and study their evolution under the Landau-Lifshitz-Gilbert flow associated to E. Our main result is that, if the two walls have opposite speed, these configurations are asymptotically stable, up to gauges intrinsic to the invariances of the energy E. Our analysis builds on the framework developed in [4], taking advantage that it is amenable to space localisation.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Projet ANR :

Modélisation et simulation de systèmes ferromagnétiques complexes

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL