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arXiv · 2507.14955

Improved convergence of Landau-de Gennes minimizers in the vanishing elasticity limit

Haotong Fu·Huaijie Wang·Wei Wang
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Abstract

We investigate the vanishing elasticity limit for minimizers of the Landau-de Gennes model with finite energy. By adopting a refined blow-up and covering analysis, we establish the optimal $ L^p $ ($ 1<p<+\infty $) convergence of minimizers and achieve the sharp $ L^1 $ convergence rate of the bulk energy term.

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Haotong Fu, Huaijie Wang, Wei Wang. 2025-07-20. Improved convergence of Landau-de Gennes minimizers in the vanishing elasticity limit. https://arxiv.org/abs/2507.14955

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