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The macroscopic flow properties of pure He II are probed in the limit of zero temperature using an oscillating grid. With increasing oscillation amplitude the initially pure superflow changes abruptly: the resonant frequency decreases and the response becomes strongly nonlinear, attributable to the growth of a boundary layer of quantized vortices that increases the effective mass of the grid. On further increase of oscillation amplitude, the flow undergoes a transition to turbulence.

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