期刊
JOURNAL OF EVOLUTION EQUATIONS
卷 21, 期 3, 页码 2923-2954出版社
SPRINGER BASEL AG
DOI: 10.1007/s00028-020-00644-4
关键词
Rayleigh-Benard convection; Rotational fluid flow; Cyclonic and anticyclonic coherent structures; Incompressible; Infinite Prandtl number; Global well-posedness; Weak solutions; Strong solutions
资金
- Einstein Stiftung Berlin, through the Einstein Visiting Fellow Program
In this model, the dynamics of the velocity field occur at a much faster time scale than the temperature fluctuation, and the velocity field formally adjusts instantaneously to the thermal fluctuation at the limit. The global well-posedness of weak solutions and strong solutions to this model has been proven.
We analyze a three-dimensional rapidly rotating convection model of tall columnar structure in the limit of infinite Prandtl number, i.e., when the momentum diffusivity is much more dominant than the thermal diffusivity. Consequently, the dynamics of the velocity field takes place at a much faster time scale than the temperature fluctuation, and at the limit the velocity field formally adjusts instantaneously to the thermal fluctuation. We prove the global well-posedness of weak solutions and strong solutions to this model.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据