Existence and uniqueness and first order approximation of solutions to atmospheric Ekman flows

• DOI: 10.1007/s00605-020-01414-7
• Publication Date: 2020-04-16T16:06:48Z
• Authors: Michal Fečkan; Yi Guan; Donal O’Regan; JinRong Wang
• Keywords: Ekman layer

In this paper, we study the classical problem of the wind in the steady atmospheric Ekman layer with classical boundary conditions and the eddy viscosity is an arbitrary height-dependent function with a finite limit value. We present existence and uniqueness and smooth results to justify computing first order approximation of solutions. Using a different argument that in previous works, we construct the Green’s function to derive the solution by a perturbation approach.