Articles | Volume 24, issue 1
Research article
12 Jan 2017
Research article |  | 12 Jan 2017

Parametric resonance in the dynamics of an elliptic vortex in a periodically strained environment

Konstantin V. Koshel and Eugene A. Ryzhov

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Cited articles

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Bayly, B. J., Holm, D. D., and Lifschitz, A.: Three-dimensional stability of elliptical vortex columns in external strain flows, Philos. T. Roy. Soc. A, 354, 895–926,, 1996.
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Carton, X., Meunier, T., Flierl, G. R., Perrot, X., and Sokolovskiy, M.: Explosive instability of geostrophic vortices, Part 2: parametric instability, Theor. Comput. Fluid Dyn., 24, 131–135,, 2010.
Short summary
The paper deals with the dynamics of an isolated vortex that evolves in a time-dependent strain environment. We establish parameters leading to parametric instability of stationary steady-state configuration using a combination of analytical and numerical techniques. Our findings may contribute to a deeper understanding of the coherent vortex dynamics in the ocean.