2 papers
math.AP2020
Self-similar shrinkers of the one-dimensional Landau-Lifshitz-Gilbert equation
Susana Gutiérrez, André de Laire
The main purpose of this paper is the analytical study of self-shrinker solutions of the one-dimensional Landau-Lifshitz-Gilbert equation (LLG), a model describing the dynamics for…
math.AP2017
The Sine-Gordon regime of the Landau-Lifshitz equation with a strong easy-plane anisotropy
André de Laire, Philippe Gravejat
It is well-known that the dynamics of biaxial ferromagnets with a strong easy-plane anisotropy is essentially governed by the Sine-Gordon equation. In this paper, we provide a rigo…