Improved convergence of Landau-de Gennes minimizers in the vanishing elasticity limit
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915422828232704 |
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| author | Fu, Haotong Wang, Huaijie Wang, Wei |
| author_facet | Fu, Haotong Wang, Huaijie Wang, Wei |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_14955 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Improved convergence of Landau-de Gennes minimizers in the vanishing elasticity limit Fu, Haotong Wang, Huaijie Wang, Wei Analysis of PDEs Mathematical Physics 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. |
| title | Improved convergence of Landau-de Gennes minimizers in the vanishing elasticity limit |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2507.14955 |