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On stability of a regular vortex polygon in the circular domain

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Publication:814407
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DOI10.1007/s00021-005-0166-6zbMath1097.76031OpenAlexW2037345183MaRDI QIDQ814407

Leonid G. Kurakin

Publication date: 7 February 2006

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-005-0166-6


zbMATH Keywords

resonanceLyapunov theoremRouth stability


Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Nonlinear effects in hydrodynamic stability (76E30)


Related Items

On the stability of discrete tripole, quadrupole, Thomson' vortex triangle and square in a two-layer/homogeneous rotating fluid ⋮ Stability of the Thomson vortex polygon with evenly many vortices outside a circular domain ⋮ On the stability of Thomson's vortex configurations inside a circular domain ⋮ On the stability of Thomson's vortex pentagon inside a circular domain ⋮ Nonlinear stability analysis of a regular vortex pentagon outside a circle ⋮ Influence of annular boundaries on Thomson's vortex polygon stability ⋮ Three-dimensional quasi-geostrophic staggered vortex arrays




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