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Global well-posedness of the 3D nonlinearly damped Boussinesq magneto-micropolar system without heat diffusion
Electronic Research Archive 2025, 33(4): 2285-2294
Published: 15 April 2025
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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 | β 1 u, for β 4, ensures sufficient regularity to establish the global well-posedness of the system.

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