Hamilton ian formulation of the equations of motion for the hydrodynamics of a compressible fluid in a uniformly rotating frame of reference

A Hamiltonian formulation is given for the equations of hydrodynamics for a compressible liquid in a uniformly rotating frame of reference; it is shown that the liquid is stratified, while the motion in general is of vortex type. A Clebsch representation is used for the momentum density. It is shown that this formalism can be applied to solve wave problems in media of hydrodynamic type.