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

A. V. Borisov·I. S. Mamaev
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Abstract

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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A. V. Borisov, I. S. Mamaev. 2005-02-15. Integrability of the problem of motion of a cylinder and a point vortex in a perfect fluid. https://arxiv.org/abs/nlin/0502031

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