Work

Asymptotic stability of a Bloch skyrmion for the Landau-Lifshitz-Gilbert equation

Year: 2026

Type: preprint

Abstract: We prove the asymptotic stability of isolated skyrmions under the flow of the two-dimensional Landau-Lifshitz-Gilbert equation. We consider a micromagnetic energy functional involving the exchange energy, the Dzyaloshinskii-Moriya interaction, and the Zeeman interaction. We are interested in the stability of chiral Bloch skyrmions, which are local minimizers of this energy. We prove that data in H2 which are near in the skyrmion in a slighlty stronger than H1 sense, converge with exponential rate, in H2, to the skyrmion, up to a change of gauge.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.23753

Authors: Berthoumieu, Jordan, Côte, Raphaël

Institutions: Karlsruhe Institute of Technology, Centre National de la Recherche Scientifique, Institut de Recherche Mathématique Avancée, Université de Strasbourg

Language: English

Topic: Magnetic properties of thin films

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7222958686

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