Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/5071
Title: Hamiltonian dynamics of N vortices in concentric annular region
Authors: Pashaev, Oktay
Yılmaz, Oğuz
Pashaev, Oktay
Yılmaz, Oğuz
Keywords: Vortex equations
Annular region
Cylinders
Q-elementary functions
Hamiltonian
Issue Date: May-2011
Publisher: IOP Publishing Ltd.
Source: Pashaev, O., and Yılmaz, O. (2011). Hamiltonian dynamics of N vortices in concentric annular region. Journal of Physics A: Mathematical and Theoretical, 44(18). doi:10.1088/1751-8113/44/18/185501
Abstract: The problem of N vortex dynamics in annular domain is considered. The region is canonical one and allows by conformal mapping apply results to an arbitrary position of two cylinders in the plane. Using previous solution, obtained by the authors in terms of the q-elementary functions [1] we now concentrate on the Hamiltonian formulation of the problem. The integrability of the problem of two vortices in the annular domain according to Liouville has been proved by using canonical transformations. Different motion characteristics depending on initial conditions are studied.
URI: https://doi.org/10.1088/1751-8113/44/18/185501
http://hdl.handle.net/11147/5071
ISSN: 1751-8113
1751-8121
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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