Convergence to line and surface energies in nematic liquid crystal colloids with external magnetic field
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866911821826359296 |
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| author | Alouges, François Chambolle, Antonin Stantejsky, Dominik |
| author_facet | Alouges, François Chambolle, Antonin Stantejsky, Dominik |
| contents | We use the Landau-de Gennes energy to describe a particle immersed into nematic liquid crystals with a constant applied magnetic field. We derive a limit energy in a regime where both line and point defects are present, showing quantitatively that the close-to-minimal energy is asymptotically concentrated on lines and surfaces nearby or on the particle. We also discuss regularity of minimizers and optimality conditions for the limit energy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_10703 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Convergence to line and surface energies in nematic liquid crystal colloids with external magnetic field Alouges, François Chambolle, Antonin Stantejsky, Dominik Analysis of PDEs Classical Analysis and ODEs 49J45, 49S05, 76A15 We use the Landau-de Gennes energy to describe a particle immersed into nematic liquid crystals with a constant applied magnetic field. We derive a limit energy in a regime where both line and point defects are present, showing quantitatively that the close-to-minimal energy is asymptotically concentrated on lines and surfaces nearby or on the particle. We also discuss regularity of minimizers and optimality conditions for the limit energy. |
| title | Convergence to line and surface energies in nematic liquid crystal colloids with external magnetic field |
| topic | Analysis of PDEs Classical Analysis and ODEs 49J45, 49S05, 76A15 |
| url | https://arxiv.org/abs/2202.10703 |