Global well-posedness of the 3D nonlinearly damped Boussinesq magneto-micropolar system without heat diffusion

This paper establishes the global well-posedness of strong solutions to the three dimensional damped Boussinesq magneto-micropolar system with zero heat diffusion for large initial data. We prove that the nonlinear damping term $ |u|^{ \beta-1} u $, for $ \beta \geq 4 $, ensures sufficient regularity to establish the global well-posedness of the system.