Integrability of the problem of motion of a cylinder and a point vortex in a perfect fluid

Details Integrability of the problem of motion of a cylinder and a point vortex in a perfect fluid Integrability of the problem of motion of a cylinder and a point vortex in a perfect fluid

2005-02-15

arxiv.org/abs/nlin/0502031v1

Regular and Chaotic Dynamics, 2003 Volume 8 Number 2

Nonlinear Sciences

Chaotic Dynamics

4 pages, 1 figure

Scientific paper

Motion of a cylinder dynamically interacting with n point vortices in a
perfect fluid is considered. A nonliniear Poisson structure and two integrals
of motion are found. The equations of motion a priori are not Hamiltonian. For
n=1, the problem is integrable.

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