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Published April 1, 1996 | public
Journal Article Open

Statistical two-vortex equilibrium and vortex merger

Abstract

Two-vortex solutions from the mean field equations respecting all conservation laws of the Euler equations in two dimensions are calculated in a unit disk. These states are compared to symmetric and off-center single-vortex solutions. A thermodynamic stability analysis is used to determine their stability and a critical separation for stable two-vortex states is found from the crossover to instability. This could explain the merging critical ratios observed in numerical simulations and experiments.

Additional Information

©1996 The American Physical Society. Received 2 January 1996. The authors acknowledge the support of the National Science Foundation under Grant No. DMR 9013984.

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August 22, 2023
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