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• W1969882308 abstract "This paper studies the dynamical fluid plus rigid-body system consisting of a two-dimensional rigid cylinder of general cross-sectional shape interacting with N point vortices. We derive the equations of motion for this system and show that, in particular, if the vortex strengths sum to zero and the rigid-body has a circular shape, the equations are Hamiltonian with respect to a Poisson bracket structure that is the sum of the rigid body Lie–Poisson bracket on se(2)*, the dual of the Lie algebra of the Euclidean group on the plane, and the canonical Poisson bracket for the dynamics of N point vortices in an unbounded plane. We then use this Hamiltonian structure to study the linear and nonlinear stability of the moving Föppl equilibrium solutions using the energy-Casimir method." @default.
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• W1969882308 date "2002-03-01" @default.
• W1969882308 modified "2023-10-12" @default.
• W1969882308 title "The Hamiltonian structure of a two-dimensional rigid circular cylinder interacting dynamically with <i>N</i> point vortices" @default.
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• W1969882308 doi "https://doi.org/10.1063/1.1445183" @default.
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