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20182026
most citedLocal well-posedness for the Landau-Lifshitz equation with helicity term

4 citations · 9 across the 9 of their papers we have counts for

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math.AP2026

Asymptotic stability of Bloch wall for dispersive Landau-Lifshitz equation

Slim Ibrahim, Christof Melcher, Ikkei Shimizu

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 orb…

math.AP2026

Time decay estimates for localized perturbations around a helical state for the Landau-Lifshitz-Gilbert equation

Ikkei Shimizu

We study the dynamics of the Landau--Lifshitz--Gilbert equation with the Dzyaloshinskii--Moriya interaction. The equation admits a family of exact stationary solutions, referred to…