@article{Li2022, 
author = {Qiang Li and Mianlu Zou},
title = {A regularity criterion via horizontal components of velocity and molecular orientations for the 3D nematic liquid crystal flows},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {5},
pages = {9278-9287},
keywords = {nematic liquid crystal flows, Navier-Stokes equations, regularity criterion},
url = {https://www.sciopen.com/article/10.3934/math.2022514},
doi = {10.3934/math.2022514},
abstract = {In this paper, we obtain a regularity criterion via horizontal components of velocity and molecular orientations for the 3D nematic liquid crystal flows. That is the smooth solution    (  u  ,  d  ) can be extended beyond T, provided that        ∫          0              T        (      |        |        u          h            |              |                                            B            ˙                                    ∞          ,          ∞                          0                            2        +      |        |    ∇  d      |              |                                            B            ˙                                    ∞          ,          ∞                          0                            2        )      d    t  <  ∞.}
}