The equation of axisymmetric buoyancy oscillations in an ideal fluid

A fourth-order linear partial differential equation is derived to describe axisymmetric oscillations of an ideal incompressible stratified fluid in a gravitational force field. Potential vortices and mass sources are distribu ted along the axis of symmetry. A class of steady solutions, which depend o n three real parameters. is constructed in the linear approximation. The as ymptotic behaviour of these solutions at short and long distances from the axis of symmetry is investigated. (C) 2000 Elsevier Science Ltd. All rights reserved.