Abstract
Abstract Presented is the theoretical investigation of dissipation of barotropic geostrophic motion with allowance for the divergence in the boundary layer with squared friction. Found are the analytical solutions of the relevant nonlinear problems for some limiting cases. In some respects, the solutions differ qualitatively from the classic case of “Ekman pumping”. In particular, (1) evolution rate of the geostrophic vortices depends on their amplitude; (2) the horizontal sizes of the initially localized disturbance grow as power function of time with the degree essentially lesser than in the classical model; and (3) the disturbances have the clearly expressed spatial boundary.
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