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Mat. Zametki, 2004, Volume 75, Issue 1, Pages 20–23 (Mi mz3)  

This article is cited in 1 scientific paper (total in 1 paper)

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

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.

DOI: https://doi.org/10.4213/mzm3

Full text: PDF file (383 kB)
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English version:
Mathematical Notes, 2004, 75:1, 19–22

Bibliographic databases:

UDC: 517.598
Received: 04.07.2002

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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\by A.~V.~Borisov, I.~S.~Mamaev
\paper Integrability of the Problem of the Motion of a Cylinder and a Vortex in an Ideal Fluid
\jour Mat. Zametki
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\issue 1
\pages 20--23
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\zmath{https://zbmath.org/?q=an:1107.37046}
\transl
\jour Math. Notes
\yr 2004
\vol 75
\issue 1
\pages 19--22
\crossref{https://doi.org/10.1023/B:MATN.0000015018.63296.ce}
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Borisov A.V., Mamaev I.S., Ramodanov S.M., “Coupled Motion of a Rigid Body and Point Vortices on a Two-Dimensional Spherical Surface”, Regular & Chaotic Dynamics, 15:4–5 (2010), 440–461  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
  • Математические заметки Mathematical Notes
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