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

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

2005-02-14

arxiv.org/abs/nlin/0502029v1

Regular and Chaotic Dynamics, 2003 Volume 8 Number 4

Nonlinear Sciences

Chaotic Dynamics

14 pages, 8 figures

Scientific paper

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.

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