Decay estimates for three-dimensional nematic liquid crystal system
In this paper, we consider the decay rates of the higher-order spatial derivatives of solution to the Cauchy problem of 3D compressible nematic liquid crystals system. The $ \dot{H}^s\; (\frac12 < s < \frac32) $ negative Sobolev norms are shown to be preserved along time evolution and...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-07-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022887?viewType=HTML |
| _version_ | 1811291910633947136 |
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| author | Xiufang Zhao |
| author_facet | Xiufang Zhao |
| author_sort | Xiufang Zhao |
| collection | DOAJ |
| description | In this paper, we consider the decay rates of the higher-order spatial derivatives of solution to the Cauchy problem of 3D compressible nematic liquid crystals system. The $ \dot{H}^s\; (\frac12 < s < \frac32) $ negative Sobolev norms are shown to be preserved along time evolution and enhance the decay rates. |
| first_indexed | 2024-04-13T04:36:29Z |
| format | Article |
| id | doaj.art-fcb936ead0ca43d08c08d5ca78eee449 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-13T04:36:29Z |
| publishDate | 2022-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-fcb936ead0ca43d08c08d5ca78eee4492022-12-22T03:02:09ZengAIMS PressAIMS Mathematics2473-69882022-07-0179162491626010.3934/math.2022887Decay estimates for three-dimensional nematic liquid crystal systemXiufang Zhao 0School of Science, Qiqihar University, Qiqihar 161006, ChinaIn this paper, we consider the decay rates of the higher-order spatial derivatives of solution to the Cauchy problem of 3D compressible nematic liquid crystals system. The $ \dot{H}^s\; (\frac12 < s < \frac32) $ negative Sobolev norms are shown to be preserved along time evolution and enhance the decay rates.https://www.aimspress.com/article/doi/10.3934/math.2022887?viewType=HTMLnematic liquid crystalsericksen-leslie systemenergy estimatesnegative sobolev spacedecay estimates |
| spellingShingle | Xiufang Zhao Decay estimates for three-dimensional nematic liquid crystal system AIMS Mathematics nematic liquid crystals ericksen-leslie system energy estimates negative sobolev space decay estimates |
| title | Decay estimates for three-dimensional nematic liquid crystal system |
| title_full | Decay estimates for three-dimensional nematic liquid crystal system |
| title_fullStr | Decay estimates for three-dimensional nematic liquid crystal system |
| title_full_unstemmed | Decay estimates for three-dimensional nematic liquid crystal system |
| title_short | Decay estimates for three-dimensional nematic liquid crystal system |
| title_sort | decay estimates for three dimensional nematic liquid crystal system |
| topic | nematic liquid crystals ericksen-leslie system energy estimates negative sobolev space decay estimates |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022887?viewType=HTML |
| work_keys_str_mv | AT xiufangzhao decayestimatesforthreedimensionalnematicliquidcrystalsystem |