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We study a three-dimensional fluid model describing rapidly rotatingconvection that takes place in tall columnar structures. The purpose of thismodel is to investigate the cyclonic and anticyclonic coherent structures.Global existence, uniqueness, continuous dependence on initial data, andlarge-time behavior of strong solutions are shown provided the model isregularized by a weak dissipation term.

Global regularity for a rapidly rotating constrained convection model of tall columnar structure with weak dissipation