Nonlinear steepest descent on a torus: a case study of the Landau–Lifshitz equation
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2025-04
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English
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Abstract
We obtain rigorous large time asymptotics for the Landau–Lifshitz (LL) equation in the soliton free case by extending the nonlinear steepest descent method to genus 1 surfaces. The methods presented in this paper pave the way to a rigorous analysis of other integrable equations on the torus and enable asymptotic analysis on different regimes of the LL equation.
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Desiraju, H., Its, A., & Prokhorov, A. (2025). Nonlinear steepest descent on a torus: A case study of the Landau–Lifshitz equation. Nonlinearity, 38(4), 045023. https://doi.org/10.1088/1361-6544/adbe22
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Nonlinearity
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Final published version