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arXiv · 2608.08456

Smooth Convergence of Landau-de Gennes Minimizers in the Lyuksyutov Regime

Haotong Fu·Huaijie Wang·Wei Wang
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Abstract

In this paper, we analyze global minimizers of the Landau--de Gennes functional in 3-dimensional domains in the Lyuksyutov regime. We prove smooth convergence to an $\mathbb{S}^4$-valued limit and obtain an $O(\mu^{-1})$ estimate for the distance to $\mathbb{S}^4$ as $\mu \to +\infty$, thereby extending the convergence results of Dipasquale et al.[Arch. Ration. Mech. Anal. 239: 599--678, 2021].

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Haotong Fu, Huaijie Wang, Wei Wang. 2026-08-09. Smooth Convergence of Landau-de Gennes Minimizers in the Lyuksyutov Regime. https://arxiv.org/abs/2608.08456

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