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.

中文翻译：

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弱耗散高柱状结构快速旋转约束对流模型的全局规律

我们研究了描述在高柱状结构中发生的快速旋转对流的三维流体模型。该模型的目的是研究气旋和反气旋相干结构。如果模型通过弱耗散项进行正则化，则显示全局存在性、唯一性、对初始数据的连续依赖以及强解的长时间行为。