Blow up criterion for three‐dimensional nematic liquid crystal flows with partial viscosity | Zendy

Wang YuZhu | Zendy; Wang YinXia | Zendy

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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.

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