Global regularity for a rapidly rotating constrained convection model of tall columnar structure with weak dissipation
Analysis of PDEs
2018-10-09 v1 Atmospheric and Oceanic Physics
Fluid Dynamics
Geophysics
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.
Keywords
Cite
@article{arxiv.1810.03596,
title = {Global regularity for a rapidly rotating constrained convection model of tall columnar structure with weak dissipation},
author = {Chongsheng Cao and Yanqiu Guo and Edriss S. Titi},
journal= {arXiv preprint arXiv:1810.03596},
year = {2018}
}