Title of article
BKM s criterion for the 3D nematic liquid crystal flows in Besov spaces of negative regular index
Author/Authors
Yuan ، Baoquan - Henan Polytechnic University , Wei ، Chengzhou - Henan Polytechnic University
Pages
8
From page
3030
To page
3037
Abstract
In this paper, we investigate the blow-up criterion of a smooth solution of the nematic liquid crystal flow in three- 2 dimensional space. More precisely, We prove that if ʃT0 ( ‖ ω ‖ 2/2−α + ∇d )dt ∞, 0 α 2, then the solution (u, d) 0 B˙ −α ∞ ∞ B˙ 0 , ∞ , ∞ ∞ can be extended smoothly beyond t = T.
Keywords
Nematic liquid crystal flow , blow , up criteria , regularity criteria , Besov space
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2017
Journal title
Journal of Nonlinear Science and Applications
Record number
2476623
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