Concentrated traveling-rotating helical vortex solutions with nonzero helical swirl are constructed for the 3D incompressible Euler equations, converging to a helical filament as the tube radius tends to zero.
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On concentrated vortices of 3D incompressible Euler equations under helical symmetry: with swirl
Concentrated traveling-rotating helical vortex solutions with nonzero helical swirl are constructed for the 3D incompressible Euler equations, converging to a helical filament as the tube radius tends to zero.