The stability of the elliptically deformed rotation of an ideal incompressible fluid in a Coriolis force field

The problem of the thermodynamic stability, relative to a linear approximation, of the flow of an ideal incompressible fluid of constant vorticity within a rotating elliptical cylinder is considered. The method of successive approximations is applied. In addition, a way of experimentally observing the instability is proposed. In general, the analytical results are found to be in qualitative agreement with those of other investigators.