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

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:269

Article

Cao, Chongsheng¹  Guo, Yanqiu¹  Titi, Edriss S.^2,3,4 

[1] Florida Int Univ, Dept Math & Stat, Miami, FL 33199 USA

[2] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

[3] Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England

[4] Weizmann Inst Sci, Dept Comp Sci & Appl Math, IL-7610001 Rehovot, Israel

关键词: Rayleigh-Benard convection;    Cyclonic and anticyclonic structure;    Incompressible;    Rapidly rotating tall columnar structure;    Global regularity;   

DOI  :  10.1016/j.jde.2020.06.033

来源: Elsevier

【 摘 要 】

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. (c) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free