Integrability of the Problem of the Motion of a Cylinder and a Vortex in an Ideal Fluid |
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Authors: | A V Borisov I S Mamaev |
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Institution: | 1. Institute of Computer Studies, Izhevsk 2. Udmurt State University, Russsia
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Abstract: | In this paper, we obtain a nonlinear Poisson structure and two first integrals in the problem of the plane motion of a circular cylinder and n point vortices in an ideal fluid. This problem is a priori not Hamiltonian; specifically, in the case n= 1 (i.e., in the problem of the interaction of a cylinder with a vortex) it is integrable. |
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