Title :

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

Author(s) :

De Laire, André [Auteur]
Systèmes de particules et systèmes dynamiques [Paradyse]
Université de Lille
Gravejat, Philippe [Auteur]
Analyse, Géométrie et Modélisation [AGM - UMR 8088]

Journal title :

Revista Matemática Iberoamericana

Pages :

95-128

Publisher :

European Mathematical Society

Publication date :

2021

ISSN :

0213-2230

English keyword(s) :

Nonlinear Schrödinger equation
Asymptotic regimes
Landau-Lifshitz equation

HAL domain(s) :

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

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

Language :

Anglais

Popular science :

Non

ANR Project :

Ondes déterministes et aléatoires

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL