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Hamiltonian dynamics of N vortices in concentric annular region
(IOP Publishing, 2011-05)
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, ...
Power-series solution for the two-dimensional inviscid flow with a vortex and multiple cylinders
The problem of a point vortex and N fixed cylinders in a two-dimensional inviscid fluid is studied and an analytical-numerical solution in the form of an infinite power series for the velocity field is obtained using complex ...
Vortex images and q-elementary functions
(IOP Publishing, 2008-04)
In the present paper, the problem of vortex images in the annular domain between two coaxial cylinders is solved by the q-elementary functions. We show that all images are determined completely as poles of the q-logarithmic ...