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\begin{document}

\title{A new blow up criterion for the 3D magneto-micropolar fluid flows
without magnetic diffusion}



\author[1]{Dongxiang Chen}%
\author[2]{Qifeng Liu}%
\author[1]{Xiaoli Chen}%
\affil[1]{Jiangxi Normal University}%
\affil[2]{Jiangxi Normal University Yaohu Campus}%


\vspace{-1em}



  
  \date{May 25, 2024}


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\begin{abstract}
This note obtains a new regularity criterion for the three-dimensional
magneto-micropolar fluid flows in terms of one velocity component and
the gradient field of the magnetic field, i.e. the weak solution
\$(u,\textbackslash{}omega,b)\$ to the magneto-micropolar fluid flows
can be extended beyond time \$t=T\$, provided if
\$u\_3\textbackslash{}in
L\^{}\{\textbackslash{}beta\}(0,T;L\^{}\{\textbackslash{}alpha\}(\{\textbackslash{}R\}\^{}3))\$
with
\$\textbackslash{}f2\{\textbackslash{}beta\}+\textbackslash{}f3\{\textbackslash{}alpha\}\textbackslash{}leq\textbackslash{}f34+\textbackslash{}f1\{2\textbackslash{}alpha\},\textbackslash{}alpha\textgreater{}\textbackslash{}f\{10\}3\$
and \$\textbackslash{}nabla b\textbackslash{}in
L\^{}\textbackslash{}f\{4p\}\{3(p-2)\}(0,T;\textbackslash{}dot\{M\}\_\{p,q\}(\{\textbackslash{}R\}\^{}3))\$
with \$1%
\end{abstract}%



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