On the ferromagnetism equations with large variations solutions

2006/03/30 by Olivier Guès, Guès, Olivier, Franck Sueur +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.math/0603721

openalex publication_date 2006/03/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We exhibit some large variations solutions of the Landau-Lifschitz equations as the exchange coefficient ε² tends to zero. These solutions are described by some asymptotic expansions which involve some internals layers by means of some large amplitude fluctuations in a neighborhood of width of order ε of an hypersurface contained in the domain. Despite the nonlinear behaviour of these layers we manage to justify locally in time these asymptotic expansions.

Related

• Partial regularity to the Landau-Lifshitz equation with spin accumulation
• Asymptotic Stability of the Landau-Lifshitz Equation
• Hysteresis for ferromagnetism: asymptotics of some 2-scale Landau-Lifshitz model
• The stochastic Landau--Lifshitz--Baryakhtar equation: Global solution and invariant measure
• Large deviations and transitions between equilibria for stochastic Landau-Lifshitz-Gilbert equation