A survey of the stability criteria of Thomson’s vortex polygons outside a circular domain. (English) Zbl 1348.76041

Summary: The model of point vortices located outside a circular domain is considered. The review of stability and instability conditions of a system of identical point vortices located uniformly on a circle is given. Theoretical results are confirmed by numerical calculations.


76B47 Vortex flows for incompressible inviscid fluids
34D20 Stability of solutions to ordinary differential equations
70K30 Nonlinear resonances for nonlinear problems in mechanics
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