Two Logarithmically Improved Regularity Criteria for the 3D Nematic Liquid Crystal Flows
In this paper, we study the regularity criterion for the local smooth solution of the 3D nematic liquid crystal flows. More precisely, it is proved the smooth solution u,d can be extended beyond T provided that ∫0T∇huhB˙∞,∞0+∇dB˙∞,∞02/1+log1+∇uB˙∞,∞0+∇dB˙∞,∞0dt<∞ or ∫0T∇huhB˙∞,∞−r4/3−2r+∇dB˙∞,∞02...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/4454497 |