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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 162, Number 3, Pages 459–480
DOI: https://doi.org/10.4213/tmf6482 (Mi tmf6482) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Interaction of point and dipole vortices in an incompressible liquid

K. N. Kulika, A. V. Turab, V. V. Yanovskiia

a Institute for Monocrystals, National Academy of Sciences of Ukraine, Kharkov, Ukraine
b Center D'etude Spatiale Des Rayonnements, Toulouse, France
Full-text PDF (467 kB) Citations (18)
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DOI: https://doi.org/10.4213/tmf6482
Abstract: We discuss the interaction between point vortices and point dipole vortices in two-dimensional ideal hydrodynamics and show that the equations of motion of the interacting point and point dipole vortices are exactly integrable. We find exact solutions for all possible parameter values characterizing the vortices and for arbitrary initial conditions and establish the regimes of vortex motion.
Keywords: two-dimensional ideal hydrodynamics, Hamiltonian formalism, point vortex, point dipole vortex, exact solution, regime of motion.
Received: 13.07.2009
English version:
Theoretical and Mathematical Physics, 2010, Volume 162, Issue 3, Pages 383–400
DOI: https://doi.org/10.1007/s11232-010-0030-6
Bibliographic databases:
Language: Russian
Citation: K. N. Kulik, A. V. Tur, V. V. Yanovskii, “Interaction of point and dipole vortices in an incompressible liquid”, TMF, 162:3 (2010), 459–480; Theoret. and Math. Phys., 162:3 (2010), 383–400
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v162/i3/p459
    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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