A regularity criterion for the 3D density-dependent incompressible flow of liquid crystals with vacuum

Zujin Zhang; Xian Yang

Annales Polonici Mathematici (2015)

  • Volume: 115, Issue: 2, page 165-177
  • ISSN: 0066-2216

Abstract

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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].

How to cite

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Zujin Zhang, and Xian Yang. "A regularity criterion for the 3D density-dependent incompressible flow of liquid crystals with vacuum." Annales Polonici Mathematici 115.2 (2015): 165-177. <http://eudml.org/doc/280215>.

@article{ZujinZhang2015,
abstract = {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].},
author = {Zujin Zhang, Xian Yang},
journal = {Annales Polonici Mathematici},
keywords = {density-dependent incompressible flow; liquid crystals; vacuum; regularity criterion},
language = {eng},
number = {2},
pages = {165-177},
title = {A regularity criterion for the 3D density-dependent incompressible flow of liquid crystals with vacuum},
url = {http://eudml.org/doc/280215},
volume = {115},
year = {2015},
}

TY - JOUR
AU - Zujin Zhang
AU - Xian Yang
TI - A regularity criterion for the 3D density-dependent incompressible flow of liquid crystals with vacuum
JO - Annales Polonici Mathematici
PY - 2015
VL - 115
IS - 2
SP - 165
EP - 177
AB - 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].
LA - eng
KW - density-dependent incompressible flow; liquid crystals; vacuum; regularity criterion
UR - http://eudml.org/doc/280215
ER -

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