Abstract
If the pressure is eliminated from the vorticity equation, this vector equation and the continuity equation constitute a system of four, independent scalar equations in the four dependent variables, consisting of the momentum components and the density. In this paper, these basic equations are used for study of those zonally propagated permanent-type flows which have small relative velocities. At first, relationships are deduced directly from the differential equations. Perhaps chief of these is a positive correlation in the lower layers of the atmosphere between the vertical and poleward momentum-components. Finally, the equations are integrated in terms of arbitrarily assignable fields, and a numerical example is presented.
