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Blow up criterion for three-dimensional nematic liquid crystal flows with partial viscosity

✍ Scribed by Yu-Zhu Wang; Yin-Xia Wang

Book ID: 112144066
Publisher: John Wiley and Sons
Year: 2012
Tongue: English
Weight: 157 KB
Volume: 36
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.2569

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In this paper, we derive a blow-up criterion of smooth solutions to the incompressible magneto-micropolar fluid equations with partial viscosity in two space dimensions. Our proof is based on careful Hölder estimates of heat and transport equations and the standard Littlewood-Paley theory.