Institute for Problems in
Mechanics, Russian Academy of Sciences
101-1 ,Vernadskii Ave., Moscow, 119526, Russia
email: rylov@ipmnet.ru
Web site: http://gas-dyn.ipmnet.ru/~rylov/yrylov.htm
Updated December 22, 2017
Inviscid
barotropic fluid is investigated as a dynamical system by means of variational
methods. Conventional description in terms of variables: (density ρ,
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 ψ_{α}, α=1,2. At returning to description
in terms of ρ,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.
There is text of the paper in English pdf and in Russian pdf