A shape optimization problem for nematic and cholesteric liquid crystal drops
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866914926574960640 |
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| author | Giacomini, Alessandro Paparini, Silvia |
| author_facet | Giacomini, Alessandro Paparini, Silvia |
| contents | We generalize the shape optimization problem for the existence of stable equilibrium configurations of nematic and cholesteric liquid crystal drops surrounded by an isotropic solution to include a broader family of admissible domains with inner boundaries, allowing discontinuities in the director field across them. Within this setting, we prove the existence of optimal configurations under a volume constraint and show that the minimization problem is a natural generalization of that posed for regular domains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_05651 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A shape optimization problem for nematic and cholesteric liquid crystal drops Giacomini, Alessandro Paparini, Silvia Analysis of PDEs We generalize the shape optimization problem for the existence of stable equilibrium configurations of nematic and cholesteric liquid crystal drops surrounded by an isotropic solution to include a broader family of admissible domains with inner boundaries, allowing discontinuities in the director field across them. Within this setting, we prove the existence of optimal configurations under a volume constraint and show that the minimization problem is a natural generalization of that posed for regular domains. |
| title | A shape optimization problem for nematic and cholesteric liquid crystal drops |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2408.05651 |