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This paper studies the Cauchy problem of the 3D incompressible micropolar equations with a damping term    $\sigma |u|^{\beta -1}u$  σ | u | β − 1 u (   $\sigma &gt;0, 1\le \beta &lt;3$  σ &gt; 0 , 1 ≤ β &lt; 3 ). It is shown that the strong solutions exist globally for any    $1\le \beta &lt;3$  1 ≤ β &lt; 3 .

A note on global existence of strong solution to the 3D micropolar equations with a damping term