On the influence of circulation on the linear stability of a system of a moving cylinder and two identical parallel vortex filaments

Vortex flows for incompressible inviscid fluids (76B47) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10) Complex variables methods applied to problems in fluid mechanics (76M40) Rotation in hydrodynamic stability (76E07)

Cites Work

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A survey of the stability criteria of Thomson's vortex polygons outside a circular domain
Stability of the Thomson vortex polygon with evenly many vortices outside a circular domain
An integrability of the problem on motion of cylinder and vortex in the ideal fluid
Dynamics of vortex structures in a stratified rotating fluid. Translated from Russian by Gennady N. Krichivets and Olga I. Yakovenko
Nonlinear stability analysis of a regular vortex pentagon outside a circle
On stability of thomson's vortex $N$-gon in the geostrophic model of the point Bessel vortices
Celebrating the 200th anniversary of the birth of Hermann Ludwig Ferdinand von Helmholtz (31.08.1821--08.09.1894)
Ring configurations of point vortices in polar atmospheres
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Point vortex dynamics: A classical mathematics playground
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On the dynamics of point vortices in an annular region
The stability of stationary rotation of a regular vortex polygon
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Hydrodynamic problems arising from the investigation of the transverse circulation in the atmosphere
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On the Stability of the System of Thomson’s Vortex $n$-Gon and a Moving Circular Cylinder