By means of a generalized version of Poincaré-Birkhoff theorem, we prove the existence and multiplicity of periodic solutions for a hamiltonian system modelling the evolution of advected particles in a two-dimensional ideal fluid inside a circular domain and under the action of a point vortex with prescribed periodic trajectory.
Periodic motions of fluid particles induced by a prescribed vortex path in a circular domain
BOSCAGGIN, Alberto;
2013-01-01
Abstract
By means of a generalized version of Poincaré-Birkhoff theorem, we prove the existence and multiplicity of periodic solutions for a hamiltonian system modelling the evolution of advected particles in a two-dimensional ideal fluid inside a circular domain and under the action of a point vortex with prescribed periodic trajectory.
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