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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…
math.AP2017
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…