Global Regularity of Three-Dimensional Incompressible Magneto-Micropolar Fluid Equations with Damping

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.