Geodesic
A regularity criterion for the 3D density-dependent incompressible flow of liquid crystals with vacuum
Zujin Zhang1 ; Xian Yang2
1School of Mathematics and Computer Science Gannan Normal University Ganzhou 341000, Jiangxi, P.R. China
2Foreign 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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