Equations of Motion of the Ocean and Atmosphere

The density of the air in the atmosphere, or of the water in the ocean, is a function of altitude or depth. Linear equations for the motion of such stratified fluids have been derived by many authors. Many have introduced simplifying assumptions into their derivations, with the result that it is difficult to compare one paper with another. The present review is a collection of the major systems of equations, in a uniform notation. The derivations given are those which bring out the interrelations of the various systems, and are sometimes quite different from those of the original papers. The solution of the equations is not discussed, so that the relative merits of the various systems cannot be evaluated.