Title :

Stability in the energy space for chains of solitons of the Landau-Lifshitz equation

Author(s) :

De Laire, André [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Gravejat, Philippe [Auteur]
Centre de Mathématiques Laurent Schwartz [CMLS]

Journal title :

Journal of Differential Equations

Pages :

1-80

Publisher :

Elsevier

Publication date :

2015-01

ISSN :

0022-0396

English keyword(s) :

Landau-Lifshitz equation with an easy-plane anisotropy
Stability
chains of solitons
Landau-Lifshitz equation with an easy-plane anisotropy.

HAL domain(s) :

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

English abstract : [en]

We prove the orbital stability of sums of solitons for the one-dimensional Landau-Lifshitz equation with an easy-plane anisotropy, under the assumptions that the (non-zero) speeds of the solitons are different, and that ...
Show more >We prove the orbital stability of sums of solitons for the one-dimensional Landau-Lifshitz equation with an easy-plane anisotropy, under the assumptions that the (non-zero) speeds of the solitons are different, and that their initial positions are sufficiently separated and ordered according to their speeds.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL