2003/03/31 by Yuri A. Rylov
Physics and Astronomy · #physics.gen-ph
published as Int. Journ. Math. Math. Sci. v.2004., no. 11, 21 Feb. 2004, pp. 541-570 · 31 pages, 0 figures, The paper is reduced. Consideration of nonstationary flow has been removed
arxiv created 2003/11/23 · arxiv updated 2009/12/01
Hydrodynamic equations for ideal incompressible fluid are written in terms of generalized stream function. Two-dimensional version of these equations is transformed to the form of one dynamic equation for the stream function. This equation contains arbitrary function which is determined by inflow conditions given on the boundary. To determine unique solution, velocity and vorticity (but not only velocity itself) must be given on the boundary. This unexpected circumstance may be interpreted in the sense that the fluid has more degrees of freedom, than it was believed. Besides, the vorticity is less observable quantity as compared with the velocity. It is shown that the Clebsch potentials are used essentially at the description of vortical flow.