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

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Abstract

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 β ≥ 4, ensures sufficient regularity to establish the global well-posedness of the system.

Keywords

global well-posedness / Boussinesq magneto-micropolar system / strong solutions

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