Abstract
Inviscid barotropic fluid is investigated as a dynamical system by means of variational methods. Conventional description in terms of variables: (density ρ0, velocity v, and labelling of stream lines ξ) appears to be ineffective for vortical flows, because dynamic equations for ξ contain idefinite parameter. It is possible complete description of barotropic fluid in terms of complex wave function ψα, α = 1, 2. At returning to description in terms of ρ0, v an additional dynamic variables: spin s = (s1, s2, s3) appear. Spin describes additional vorticity incorporated into fluid. Appearance of additional variable s (instead of ξ) is essential at description of turbulent phenomena.
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