Geodesic
A regularity criterion for the 3D density-dependent incompressible flow of liquid crystals with vacuum
Zujin Zhang1 ; Xian Yang2
1 School of Mathematics and Computer Science Gannan Normal University Ganzhou 341000, Jiangxi, P.R. China
2 Foreign Language Department Ganzhou Teachers College Ganzhou 341000, Jiangxi, P.R. China
Annales Polonici Mathematici, Tome 115 (2015) no. 2, pp. 165-177 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We consider the Cauchy problem for the $3$D density-dependent incompressible flow of liquid crystals with vacuum, and provide a regularity criterion in terms of $\boldsymbol u$ and $\nabla {\boldsymbol d}$ in the Besov spaces of negative order. This improves a recent result of Fan–Li [Comm. Math. Sci. 12 (2014), 1185–1197].
DOI : 10.4064/ap115-2-4
Keywords: consider cauchy problem density dependent incompressible flow liquid crystals vacuum provide regularity criterion terms boldsymbol nabla boldsymbol besov spaces negative order improves recent result fan comm math sci

Zujin Zhang 1 ; Xian Yang 2

1 School of Mathematics and Computer Science Gannan Normal University Ganzhou 341000, Jiangxi, P.R. China
2 Foreign Language Department Ganzhou Teachers College Ganzhou 341000, Jiangxi, P.R. China 
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Zujin Zhang; Xian Yang. A regularity criterion for the 3D density-dependent incompressible flow of liquid crystals with vacuum. Annales Polonici Mathematici, Tome 115 (2015) no. 2, pp. 165-177. doi: 10.4064/ap115-2-4

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