Smooth 2D Euler steady states with multiple critical points can be perturbed to make vorticity non-functional in the stream function, yielding isolated branches of stable states unlike the analytic case.
Wandering solutions of euler’s d-2 equation.Functional Analysis and Its Applications, 25(3):220–221
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On the flexibility of 2D Euler steady states
Smooth 2D Euler steady states with multiple critical points can be perturbed to make vorticity non-functional in the stream function, yielding isolated branches of stable states unlike the analytic case.