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• W3020598360 abstract "We investigate the stability of a uniform elliptical vortex in a two-dimensional incompressible Euler fluid. It's demonstrated that for small eccentricities, the vortex relaxes to a core-halo structure that undergoes rigid rotation with the central core remaining elliptical. For large eccentricities, the vortex splits into two quasi-circular vortices that revolve around the center of mass. Independent of the aspect ratio, the steady-state displays a low-density halo. We present a theory that qualitatively explains the transition between the two states. All theoretical results are compared with extensive molecular dynamics simulations based on the vortex-in-cell algorithm." @default.
• W3020598360 created "2020-05-01" @default.
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• W3020598360 date "2020-08-10" @default.
• W3020598360 modified "2023-09-24" @default.
• W3020598360 title "Linear and non-linear instabilities of Kirchhoff’s elliptical vortices" @default.
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• W3020598360 doi "https://doi.org/10.1088/1742-5468/aba68b" @default.
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