Year: 2024
Type: article
Abstract: The paper formulates a model of axisymmetric flow of an ideal fluid with n effectively inviscid \nvortex zones, generalizing the well-known model of M. A. Lavrentiev on the gluing of vortex and potential \nflows in a plane case. The possibility is shown within the framework of such a model of the existence in \nspace of a liquid sphere streamlined around by a potential axisymmetric flow, consisting of n spherical \nlayers of axisymmetric vortex flows. This model example generalizes the spherical Hill vortex with one \nvortex zone, known in hydrodynamics. Such a vortex flow with n spherical layers is also possible in a \nsphere, and, unlike a flow in space, such a flow is not unique. The problem of an axisymmetric vortex \nflow in a limited region is considered; its formulation generalizes the plane flow of an ideal fluid in a field \nof Coriolis forces
Authors: Vainshtein, Isaac I., Вайнштейн, Исаак И.
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7008123417
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