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1. Ekman layer of rotating stratified viscous Boussinesq equations in rotation-dominant limit.

Author

Mu, Pengcheng

Subjects
*BOUSSINESQ equations, *ROSSBY number, *BOUNDARY layer (Aerodynamics), *FROUDE number, *STRATIFIED flow, *HAMILTON-Jacobi equations, *ROTATIONAL motion
Abstract

The asymptotics of weak solutions to the Boussinesq equations with no-slip boundary and moderately ill-prepared data is investigated in rotation-dominant limit regime as the Rossby number, the Froude number and the vertical viscosity tend to zero simultaneously. The new ingredient of this paper is to give a first proof of the three scale singular limit coupled with Ekman boundary layer by introducing an asymptotic profile to the original system. [ABSTRACT FROM AUTHOR]

Published
2024
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