Abstract
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 distributed along the axis of symmetry. A class of steady solutions, which depend on three real parameters, is constructed in the linear approximation. The asymptotic behaviour of these solutions at short and long distances from the axis of symmetry is investigated.
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