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- W2964103635 abstract "We consider Hamiltonian systems with two degrees of freedom of point vortex type for in a domain . In the classical point vortex context the Hamiltonian is of the form where is the regular part of a hydrodynamic Green function in Ω, is the Robin function: , and , are the vortex strengths. We prove the existence of infinitely many periodic solutions with prescribed minimal period that are superpositions of a slow motion of the center of vorticity close to a star-shaped level line of h and of a fast rotation of the two vortices around their center of vorticity. The proofs are based on a recent higher dimensional version of the Poincare–Birkhoff theorem due to Fonda and Urena." @default.
- W2964103635 created "2019-07-30" @default.
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- W2964103635 creator A5079257153 @default.
- W2964103635 date "2018-04-09" @default.
- W2964103635 modified "2023-09-25" @default.
- W2964103635 title "Periodic solutions with prescribed minimal period of vortex type problems in domains" @default.
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- W2964103635 doi "https://doi.org/10.1088/1361-6544/aaaf2d" @default.
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