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Global well-posedness for a rapidly rotating convection model of tall columnar structure in the limit of infinite Prandtl number

Published version
Peer-reviewed

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Authors

Cao, C 
Guo, Y 

Abstract

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.

Description

Funder: Einstein Stiftung Berlin; doi: http://dx.doi.org/10.13039/501100006188

Keywords

Rayleigh-Benard convection, Rotational fluid flow, Cyclonic and anticyclonic coherent structures, Incompressible, Infinite Prandtl number, Global well-posedness, Weak solutions, Strong solutions

Journal Title

Journal of Evolution Equations

Conference Name

Journal ISSN

1424-3199
1424-3202

Volume Title

21

Publisher

Springer Science and Business Media LLC