We study a three-dimensional fluid model describing rapidly rotating
convection that takes place in tall columnar structures. The purpose of this
model is to investigate the cyclonic and anticyclonic coherent structures.
Global existence, uniqueness, continuous dependence on initial data, and
large-time behavior of strong solutions are shown provided the model is
regularized by a weak dissipation term.Einstein Stiftung/Foundation - Berlin and John Simon Guggenheim Memorial Foundation