Global regularity of the 3D magneto-micropolar Bénard equations with nonlinear damping and partial viscosity

In this paper, we investigate the 3D magneto-micropolar Bénard equations with nonlinear damping and partial viscosity. By employing energy methods and properties in anisotropic Lebesgue spaces, we establish the existence and uniqueness of global strong solutions when $ \beta \geq 4 $. Our results not only extend the current theoretical framework but also provide new perspectives and methodologies for further research in the dynamics of magneto-micropolar fluids.