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

abstract

• AbstractWe 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.

authors

• Titi, Edriss

published proceedings

• JOURNAL OF EVOLUTION EQUATIONS

author list (cited authors)

• Cao, C., Guo, Y., & Titi, E. S.

citation count

• 0

complete list of authors

• Cao, Chongsheng||Guo, Yanqiu||Titi, Edriss S

publication date

• September 2021

publisher

• Springer Nature  Publisher

published in

• Journal of Evolution Equations  Journal

keywords

• Cyclonic And Anticyclonic Coherent Structures
• Global Well-posedness
• Incompressible
• Infinite Prandtl Number
• Rayleigh-benard Convection
• Rotational Fluid Flow
• Strong Solutions
• Weak Solutions

Digital Object Identifier (DOI)

• 10.1007/s00028-020-00644-4

start page

• 2923

end page

• 2954

volume

• 21

issue

• 3

URL

• http://dx.doi.org/10.1007/s00028-020-00644-4