A. V. Borisov, I. S. Mamaev, S. M. Ramodanov, “Motion of a circular cylinder and <nobr>$n$</nobr> point vortices in a perfect fluid”, Regul. Chaotic Dyn., 2003, Volume 8, Issue 4,Pages <nobr>449

This article is cited in 38 papers

Motion of a circular cylinder and $n$ point vortices in a perfect fluid

A. V. Borisov^a, I. S. Mamaev^a, S. M. Ramodanov^b

^a Institute of Computer Science, Universitetskaya, 1, 426034, Izhevsk, Russia
^b Moscow, Russia

Abstract: The paper studies the system of a rigid body interacting dynamically with point vortices in a perfect fluid. For arbitrary value of vortex strengths and circulation around the cylinder the system is shown to be Hamiltonian (the corresponding Poisson bracket structure is rather complicated). We also reduced the number of degrees of freedom of the system by two using the reduction by symmetry technique and performed a thorough qualitative analysis of the integrable system of a cylinder interacting with one vortex.

MSC: 76B47, 37J35, 70E40

Received: 29.10.2003

Language: English

DOI: 10.1070/RD2003v008n04ABEH000257