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We consider the Rayleigh--B\'{e}nard problem for the three--dimensionalBoussinesq system for the micropolar fluid. We introduce the notion of themultivalued eventual semiflow and prove the existence of the two-space globalattractor $\mathcal{A}^K$ corresponding to weak solutions, for every micropolarparameter $K\geq 0$ denoting the deviation of the considered system from theclassical Rayleigh--B\'{e}nard problem for the Newtonian fluid. We prove thatfor every $K$ the attractor $\mathcal{A}^K$ is the smallest compact,attracting, and invariant set. Moreover, the semiflow restricted to thisattractor is single-valued and governed by strong solutions. Further, we provethat the global attractors $\mathcal{A}^K$ converge to $\mathcal{A}^0$ uppersemicontinuously in Kuratowski sense as $K\to 0$, and that the projection of$\mathcal{A}^0$ on the restricted phase space corresponding to the classicalRayleigh--B\'{e}nard problem is the global attractor for the latter problem,having the invariance property. These results are established under theassumption that the Prandtl number is relatively large with respect to theRayleigh number.

Micropolar meets Newtonian in three dimensions. The Rayleigh--B{\'e}nard problem for large Prandtl numbers