Stability in the energy space for chains of solitons of the Landau-Lifshitz equation - Archive ouverte HAL
Article Dans Une Revue Journal of Differential Equations Année : 2015

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

Résumé

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.
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Dates et versions

hal-00862835 , version 2 (11-06-2014)
hal-00862835 , version 3 (23-09-2014)

Identifiants

Citer

André de Laire, Philippe Gravejat. Stability in the energy space for chains of solitons of the Landau-Lifshitz equation. Journal of Differential Equations, 2015, 258 (1), pp.1-80. ⟨10.1016/j.jde.2014.09.003⟩. ⟨hal-00862835v3⟩
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