Blow-up criterion for the 3D nematic liquid crystal flows via one velocity and vorticity components and molecular orientations

In this paper, we are devoted to investigating the blow-up criteria for the three dimensionalnematic liquid crystal flows. More precisely, we proved that the smoothsolution $(u,d)$ can be extended beyond T, provided that $\int_{0}^{T}(||\omega_{3}||_{L^{p}}^{\frac{2p}{2p-3}}+||u_{3}||_{L^{q}}^{\f...

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Bibliographic Details
Main Authors: Qiang Li, Baoquan Yuan
Format: Article
Language:English
Published: AIMS Press 2020-01-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/math.2020041/fulltext.html