Siberian Federal University

The paper formulates a model of axisymmetric flow of an ideal fluid with n effectively inviscid vortex zones, generalizing the well-known model of M. A. Lavrentiev on the gluing of vortex and potential flows in a plane case. The possibility is shown within the framework of such a model of the existence in space of a liquid sphere streamlined around by a potential axisymmetric flow, consisting of n spherical layers of axisymmetric vortex flows. This model example generalizes the spherical Hill vortex with one vortex zone, known in hydrodynamics. Such a vortex flow with n spherical layers is also possible in a sphere, and, unlike a flow in space, such a flow is not unique. The problem of an axisymmetric vortex flow in a limited region is considered; its formulation generalizes the plane flow of an ideal fluid in a field of Coriolis forces