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math.AP2025

Nonlinear steepest descent on a torus: A case study of the Landau-Lifshitz equation

Harini Desiraju, Alexander R. Its, Andrei Prokhorov

We obtain rigorous large time asymptotics for the Landau-Lifshitz equation in the soliton free case by extending the nonlinear steepest descent method to genus 1 surfaces. The meth…