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Blow up criterion for three‐dimensional nematic liquid crystal flows with partial viscosity
Author(s) -
Wang YuZhu,
Wang YinXia
Publication year - 2012
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2569
Subject(s) - liquid crystal , mathematics , compressibility , viscosity , euler equations , euler's formula , viscosity solution , mathematical analysis , partial differential equation , thermodynamics , physics , condensed matter physics
In this paper, we investigate the Cauchy problem for the three‐dimensional nematic liquid crystal flows with partial viscosity, and a blow up criterion of smooth solutions is established. This result is analogous to the celebrated Beale‐Kato‐Majda breakdown criterion for the incompressible Euler equations. Copyright © 2012 John Wiley & Sons, Ltd.