Proves nonlinear orbital stability of the full family of Kelvin-Stuart vortices for co-periodic perturbations and linear instability for multi-periodic perturbations, confirming a long-standing conjecture, with parallel results for MHD magnetic islands.
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On the stability and instability of Kelvin-Stuart cat's-eye flows
Proves nonlinear orbital stability of the full family of Kelvin-Stuart vortices for co-periodic perturbations and linear instability for multi-periodic perturbations, confirming a long-standing conjecture, with parallel results for MHD magnetic islands.