2023/09/08 by Antonio Capella, Christof Melcher, Capella, A. +5
Computer Science · Mathematics · #35B35 #35B40 #35S10 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory (math.SP)
paper · pdf · doi:10.48550/arxiv.2309.04432
openalex publication_date 2023/09/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, the nonlinear (orbital) stability of static 180^∘ Néel walls in ferromagnetic films, under the reduced wave-type dynamics for the in-plane magnetization proposed by Capella, Melcher and Otto [CMO07], is established. It is proved that the spectrum of the linearized operator around the static Néel wall lies in the stable complex half plane with non-positive real part. This information is used to show that small perturbations of the static Néel wall converge to a translated orbit belonging to the manifold generated by the static wall.