Stability of point-vortex multipoles revisited
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Publication:5245078
DOI10.1063/1.3596270zbMath1308.76051OpenAlexW2032535764MaRDI QIDQ5245078
Publication date: 1 April 2015
Published in: Physics of Fluids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.3596270
Vortex flows for incompressible inviscid fluids (76B47) Stability and instability of geophysical and astrophysical flows (76E20)
Related Items (11)
On the stability of discrete tripole, quadrupole, Thomson' vortex triangle and square in a two-layer/homogeneous rotating fluid ⋮ Spontaneous suppression of inverse energy cascade in instability-driven 2-D turbulence ⋮ Two-layer geostrophic tripoles comprised by patches of uniform potential vorticity ⋮ On the stability of two-layer geostrophic point-vortex multipoles ⋮ Transitions and oscillatory regimes in two-layer geostrophic hetons and tripoles ⋮ 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 ⋮ Three-dimensional quasi-geostrophic vortex equilibria with -fold symmetry ⋮ Three-dimensional quasi-geostrophic staggered vortex arrays ⋮ Resonances in the stability problem of a point vortex quadrupole on a plane ⋮ Group scattering of point vortices on an unbounded plane ⋮ Doubly symmetric finite-core heton equilibria
Cites Work
- Dynamics of heton-like vortices
- Singular vortices in regular flows
- Two variations on the theme of Lamb--Chaplygin: supersmooth dipole and rotating multipoles
- Finite-core hetons: stability and interactions
- On the Motion of A + 1 Vortices in a Two-Layer Rotating Fluid
- Stability and evolution of uniform-vorticity dipoles
- Point vortex dynamics: A classical mathematics playground
- Rotating multipoles on the f- and γ-planes
- Four-vortex motion with zero total circulation and impulse
- The heton, an elementary interaction between discrete baroclinic geostrophic vortices, and its implications concerning eddy heat-flow
- On the instability of geostrophic vortices
- Integrable four vortex motion
- Motion of three vortices
- The theory of quasi-geostrophic von Kármán vortex streets in two-layer fluids on a beta-plane
- Unsteady behaviour of a topography-modulated tripole
- Stability of Relative Equilibria in the Problem of N+1 Vortices
- Stability of relative equilibria of three vortices
- The stability of stationary rotation of a regular vortex polygon
- Stability and transitions of hetonic quartets and baroclinic modons
- Two-layer quasi-geostrophic singular vortices embedded in a regular flow. Part 1. Invariants of motion and stability of vortex pairs
- Two-layer quasi-geostrophic singular vortices embedded in a regular flow. Part 2. Steady and unsteady drift of individual vortices on a beta-plane
- Four-vortex motion in the two-layer approximation: Integrable case
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