We consider the Cauchy problem for the 3D density-dependent incompressible flow of liquid crystals with vacuum, and provide a regularity criterion in terms of u and ∇d in the Besov spaces of negative order. This improves a recent result of Fan-Li [Comm. Math. Sci. 12 (2014), 1185-1197].
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap115-2-4,
author = {Zujin Zhang and Xian Yang},
title = {A regularity criterion for the 3D density-dependent incompressible flow of liquid crystals with vacuum},
journal = {Annales Polonici Mathematici},
volume = {113},
year = {2015},
pages = {165-177},
zbl = {06487231},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap115-2-4}
}
Zujin Zhang; Xian Yang. A regularity criterion for the 3D density-dependent incompressible flow of liquid crystals with vacuum. Annales Polonici Mathematici, Tome 113 (2015) pp. 165-177. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap115-2-4/