Stability of body-centered polygonal configurations of ideal vortices

DOI10.1063/1.862347zbMath0379.76042OpenAlexW2071802357MaRDI QIDQ4158666

G. Mertz

Publication date: 1978

Published in: The Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.862347

Mathematics Subject Classification ID

Hydrodynamic stability (76E99)

Related Items (12)

On the stability of discrete tripole, quadrupole, Thomson' vortex triangle and square in a two-layer/homogeneous rotating fluid ⋮ A survey of the stability criteria of Thomson's vortex polygons outside a circular domain ⋮ Desingularizations of systems of point vortices ⋮ On the Stability of Thomson’s Vortex $N$-gon and a Vortex Tripole/Quadrupole in Geostrophic Models of Bessel Vortices and in a Two-Layer Rotating Fluid: a Review ⋮ On the equilibrium and stability of a row of point vortices ⋮ Getting into the vortex: on the contributions of James Montaldi ⋮ The stability of stationary rotation of a regular vortex polygon ⋮ Foreword ⋮ Lyapunov orbits in the \(n\)-vortex problem ⋮ Influence of annular boundaries on Thomson's vortex polygon stability ⋮ Three-dimensional quasi-geostrophic staggered vortex arrays ⋮ Resonances in the stability problem of a point vortex quadrupole on a plane

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