TY - JOUR
T1 - A Regularity Criterion in Terms of Direction of Vorticity to the 3D Micropolar-Fluid Equations
AU - Zhang , Hui
JO - Journal of Partial Differential Equations
VL - 1
SP - 76
EP - 83
PY - 2017
DA - 2017/03
SN - 30
DO - http://doi.org/10.4208/jpde.v30.n1.6
UR - https://global-sci.org/intro/article_detail/jpde/5072.html
KW - Microplar-fluid equations
KW - regularity conditions
KW - weak solutions
AB - <p style="text-align: justify;">In this paper,we study the regularity of weak solutions to the 3D Micropolar-fluid equations. We show that the weak solutions actually is strong solution if the corresponding vorticity field $j=\nabla\times u$ satisfies certain condition in the high vorticity region.</p>