Geodesic
Axisymmetric ideal fluid flows effectively not being tied to vortex zones
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 5, pp. 665-678

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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.
Keywords: ideal fluid, vortex flows, spherical Hill vortex. 
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     title = {Axisymmetric ideal fluid flows effectively not being tied to vortex zones},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {665--678},
     publisher = {mathdoc},
     volume = {17},
     number = {5},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2024_17_5_a11/}
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Isaac I. Vainshtein. Axisymmetric ideal fluid flows effectively not being tied to vortex zones. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 5, pp. 665-678. http://geodesic.mathdoc.fr/item/JSFU_2024_17_5_a11/