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Matematicheskie Zametki, 2004, Volume 75, Issue 1, Pages 20–23
DOI: https://doi.org/10.4213/mzm3 (Mi mzm3) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Integrability of the Problem of the Motion of a Cylinder and a Vortex in an Ideal Fluid

A. V. Borisova, I. S. Mamaevb

a Institute of Computer Science
b Udmurt State University
Full-text PDF (383 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm3
Abstract: In this paper, we obtain a nonlinear Poisson structure and two first integrals in the problem of the plane motion of a circular cylinder and $N$ point vortices in an ideal fluid. This problem is a priori not Hamiltonian; specifically, in the case $N= 1$ (i.e., in the problem of the interaction of a cylinder with a vortex) it is integrable.
Received: 04.07.2002
English version:
Mathematical Notes, 2004, Volume 75, Issue 1, Pages 19–22
DOI: https://doi.org/10.1023/B:MATN.0000015018.63296.ce
Bibliographic databases:
UDC: 517.598
Language: Russian
Citation: A. V. Borisov, I. S. Mamaev, “Integrability of the Problem of the Motion of a Cylinder and a Vortex in an Ideal Fluid”, Mat. Zametki, 75:1 (2004), 20–23; Math. Notes, 75:1 (2004), 19–22
Citation in format AMSBIB
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\jour Math. Notes
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\pages 19--22
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    References:78
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