Showing math.APShow all
2 papers · 1 filter
math.AP2025
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.AP2024
Existence and Uniqueness of Domain Walls for Notched Ferromagnetic Nanowires
Raphaël Côte, Clémentine Courtès, Guillaume Ferriere +2
In this article, we investigate a simple model of notched ferromagnetic nanowires using tools from calculus of variations and critical point theory. Specifically, we focus on the c…