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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2112.04074 |
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| _version_ | 1866915514013450240 |
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| author | Feng, Zhewen Hong, Min-Chun Mei, Yu |
| author_facet | Feng, Zhewen Hong, Min-Chun Mei, Yu |
| contents | In this paper, we investigate the Beris-Edwards system for both biaxial and uniaxial $Q$-tensors with a general Landau-de Gennes energy density depending on four non-zero elastic constants. We prove existence of the strong solution of the Beris-Edwards system for uniaxial $Q$-tensors up to a maximal time. Furthermore, we prove that the strong solutions of the Beris-Edwards system for biaxial $Q$-tensors converge smoothly to the solution of the Beris-Edwards system for uniaxial $Q$-tensors up to its maximal existence time. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_04074 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Existence and convergence of the Beris-Edwards system with general Landau-de Gennes energy Feng, Zhewen Hong, Min-Chun Mei, Yu Analysis of PDEs 35K51, 35Q30, 76A15 In this paper, we investigate the Beris-Edwards system for both biaxial and uniaxial $Q$-tensors with a general Landau-de Gennes energy density depending on four non-zero elastic constants. We prove existence of the strong solution of the Beris-Edwards system for uniaxial $Q$-tensors up to a maximal time. Furthermore, we prove that the strong solutions of the Beris-Edwards system for biaxial $Q$-tensors converge smoothly to the solution of the Beris-Edwards system for uniaxial $Q$-tensors up to its maximal existence time. |
| title | Existence and convergence of the Beris-Edwards system with general Landau-de Gennes energy |
| topic | Analysis of PDEs 35K51, 35Q30, 76A15 |
| url | https://arxiv.org/abs/2112.04074 |