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arXiv · 1810.03596

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

Chongsheng Cao·Yanqiu Guo·Edriss S. Titi
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Abstract

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.

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Chongsheng Cao, Yanqiu Guo, Edriss S. Titi. 2018-10-08. Global regularity for a rapidly rotating constrained convection model of tall columnar structure with weak dissipation. https://arxiv.org/abs/1810.03596

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