The Navier–Stokes equation governing the flow of an incompressible fluid is (see, e.g., Chaikin and Lubensky 1995: 449)

where ρ is the mass density, v(vector) is the fluid velocity, P is the pressure, and η is the viscosity. Show that the requirement ∇ × g(vector) = 0 implies that the viscosity term vanishes. Therefore, there can be no turbulence in an incompressible superfluid.

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d ай at + pv. Vv=VP+nV²v, (11.4.8)