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Auteurs principaux:	Chen, Bo, Qiu, Zhen
Format:	Preprint
Publié:	2026
Sujets:	Analysis of PDEs
Accès en ligne:	https://arxiv.org/abs/2604.05340
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author	Chen, Bo Qiu, Zhen
author_facet	Chen, Bo Qiu, Zhen
contents	In this paper, we investigate the chiral boundary value problem for the Landau-Lifshitz equation with helical derivatives. By introducing Sobolev spaces adapted to the helical derivative and establishing energy estimates that are compatible with the chiral boundary condition, we prove the global existence of weak solutions to this problem, both in the presence and in the absence of damping terms.
format	Preprint
id	arxiv_https___arxiv_org_abs_2604_05340
institution	arXiv
publishDate	2026
record_format	arxiv
spellingShingle	Global existence of weak solutions for Landau-Lifshitz equation with helical derivatives Chen, Bo Qiu, Zhen Analysis of PDEs In this paper, we investigate the chiral boundary value problem for the Landau-Lifshitz equation with helical derivatives. By introducing Sobolev spaces adapted to the helical derivative and establishing energy estimates that are compatible with the chiral boundary condition, we prove the global existence of weak solutions to this problem, both in the presence and in the absence of damping terms.
title	Global existence of weak solutions for Landau-Lifshitz equation with helical derivatives
topic	Analysis of PDEs
url	https://arxiv.org/abs/2604.05340

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