Title :

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

Author(s) :

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

Journal title :

International Mathematics Research Notices

Pages :

3551-3600

Publisher :

Oxford University Press (OUP)

Publication date :

2024-02-21

ISSN :

1073-7928

English keyword(s) :

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

HAL domain(s) :

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

English abstract : [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 ...
Show more >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.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

ANR Project :

Modélisation et simulation de systèmes ferromagnétiques complexes

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL