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2013
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# Problems of stability and asymptotic behavior of vortex patches on the plane

2010, Vol. 6, No. 2, pp.  327-343

— vortex rings with outer radius $r = 1$ and variable inner radius $r_0$,
— vortex ellipses with semiaxes $a$, $b$.
The emphasis is on the analysis of the asymptotic $(t → ∞)$ behavior of the system and on the verification of the stability criteria for vorticity continuous distributions.