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

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.

4 pages, 1 figure

References in corpus (1)

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