12 citations · 12 across the 3 of their papers we have counts for
4 papers
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…
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…
The Cauchy problem for the Landau-Lifshitz-Gilbert equation in BMO and self-similar solutions
Susana Gutiérrez, André de Laire
We prove a global well-posedness result for the Landau-Lifshitz equation with Gilbert damping provided that the BMO semi-norm of the initial data is small. As a consequence, we ded…
Self-similar solutions of the one-dimensional Landau-Lifshitz-Gilbert equation
Susana Gutiérrez, André de Laire
We consider the one-dimensional Landau-Lifshitz-Gilbert (LLG) equation, a model describing the dynamics for the spin in ferromagnetic materials. Our main aim is the analytical stud…