On the motion of a heavy rigid body in an ideal fluid with circulation

A. V. Borisov; I. S. Mamaev

doi:10.1063/1.2166530

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arXiv · nlin/0503056

On the motion of a heavy rigid body in an ideal fluid with circulation

A. V. Borisov·I. S. Mamaev

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Abstract

Chaplygin's equations describing the planar motion of a rigid body in an unbounded volume of an ideal fluid involved in a circular flow around the body are considered. Hamiltonian structures, new integrable cases, and partial solutions are revealed, and their stability is examined. The problems of non-integrability of the equations of motion because of a chaotic behavior of the system are discussed.

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A. V. Borisov, I. S. Mamaev. 2005-03-25. On the motion of a heavy rigid body in an ideal fluid with circulation. https://doi.org/10.1063/1.2166530

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