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.

中文翻译：

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具有阻尼的三维不可压缩磁微极性流体方程的整体正则性

我们处理具有非线性阻尼项\（\ alpha | {\ mathbf {u}} | ^ {\ beta -1} {\ mathbf {u}} \\（的三维不可压缩磁微极性流体方程的Cauchy问题动量方程中的\ alpha> 0 \ \ text {and} \ \ beta \ ge 1）\）。通过研究系统的抵消性质，我们证明了对于任何\（\ beta \ ge 4 \）都存在唯一的全局强解。我们的工作扩展了以前的结果。