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arXiv · 2610.22978

Asymptotic stability of Bloch wall for dispersive Landau-Lifshitz equation

Slim Ibrahim·Christof Melcher·Ikkei Shimizu
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Abstract

We consider the Bloch wall stationary solutions to the dispersive Landau-Lifshitz equation with Dzyaloshinskii-Moriya interaction (DMI). First, we establish a dichotomy for the orbital stability and instability depending on the value of a coupling constant. Then, under symmetric perturbations, we prove that the Bloch wall is asymptotically stable in the energetically favorable regime.

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Slim Ibrahim, Christof Melcher, Ikkei Shimizu. 2026-10-16. Asymptotic stability of Bloch wall for dispersive Landau-Lifshitz equation. https://arxiv.org/abs/2610.22978

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