Abstract
We deal with the Cauchy problem of three-dimensional incompressible magneto-micropolar fluid equations with a nonlinear damping term $$\alpha |{\mathbf {u}}|^{\beta -1}{\mathbf {u}}\ (\alpha >0\ \text {and}\ \beta \ge 1)$$ in the momentum equations. By cancelation properties of the system under study, we show that there exists a unique global strong solution for any $$\beta \ge 4$$ . Our work extends previous results.
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