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Russia Izhevsk
Year
2023
Volume
33
Issue
4
Pages
642-658
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Section Mechanics
Title Dynamics of two vortices on a finite flat cylinder
Author(-s) Artemova E.M.a
Affiliations Udmurt State Universitya
Abstract In this work, a model that describes the motion of point vortices in an ideal incompressible fluid on a finite flat cylinder is obtained. The case of two vortices is considered in detail. It is shown that the equations of motion of vortices can be represented in Hamiltonian form and have an additional first integral. A procedure of reduction to a fixed level of the first integral is proposed. For the reduced system, phase portraits are constructed, fixed points and singularities of the system are indicated.
Keywords point vortices, ideal fluid, fixed points, singularities, phase portrait
UDC 532.5.031, 519-7
MSC 76B47, 70H05, 37Jxx, 34Cxx
DOI 10.35634/vm230407
Received 3 November 2023
Language Russian
Citation Artemova E.M. Dynamics of two vortices on a finite flat cylinder, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2023, vol. 33, issue 4, pp. 642-658.
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