
Relative Periodic Solutions of the N-Vortex Problem Via the Variational Method
Wang, Qun (2018), Relative Periodic Solutions of the N-Vortex Problem Via the Variational Method, Archive for Rational Mechanics and Analysis, 231, 3, p. 1401–1425. 10.1007/s00205-018-1300-y
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Type
Article accepté pour publication ou publiéDate
2018Journal name
Archive for Rational Mechanics and AnalysisVolume
231Number
3Publisher
Springer
Pages
1401–1425
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Show full item recordAbstract (EN)
This article studies the N-vortex problem in the plane with positive vorticities. After an investigation of some properties for normalised relative equilibria of the system, we use symplectic capacity theory to show that there exist infinitely many normalised relative periodic orbits on a dense subset of all energy levels, which are neither fixed points nor relative equilibria.Subjects / Keywords
N-Vortex; Variational MethodRelated items
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