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Nonlinear Stability of Relative Equilibria in the Planar $N$-Vortex Problem with Non-Zero Total Circulation
We prove a sufficient condition for nonlinear stability of relative equilibria in the planar $N$-vortex problem with non-zero total circulation; the stability is in the sense of Lyapunov to perturbations that preserve the momentum map. Using the condition, we also prove nonlinear stability of some k
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