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math.AP2023
Minimal time of magnetization switching in small ferromagnetic ellipsoidal samples
Raphaël Côte, Clémentine Courtès, Guillaume Ferrière +1
In this paper, we consider a ferromagnetic material of ellipsoidal shape. The associated magnetic moment then has two asymptotically stable opposite equilibria, of the form $\pm\ov…
math.AP2022
Asymptotic stability of 2-domain walls for the Landau-Lifshitz-Gilbert equation in a nanowire with Dzyaloshinskii-Moriya interaction
Raphaël Côte, Guillaume Ferriere
We consider a ferromagnetic nanowire, with an energy functional E with easy-axis in the direction , and which takes into account the Dzyaloshinskii-Moriya interaction. We cons…
math.AP2022
Asymptotic stability of precessing domain walls for the Landau-Lifshitz-Gilbert equation in a nanowire with Dzyaloshinskii-Moriya interaction
Raphaël Côte, Radu Ignat
We consider a ferromagnetic nanowire and we focus on an asymptotic regime where the Dzyaloshinskii-Moriya interaction is taken into account. First we prove a dimension reduction re…