The equations for isentropic motion of inviscid fluid in terms of wave function
Yu. A. Rylov · Journal of Mathematical Physics · 1989
It is shown that by change of variables, the equations of motion of the inviscid fluid can transform into a differential equation for a wave function ψ, consisting of two complex components. A unit spin vector s can be formed by means of the wave function. The fluid flow vorticity is determined only by the spin vector. The dynamical equation for the ψ reduces to a linear equation with constant coefficients, if the flow is potential (s=const) and the state equation has some special form. Use of the wave function ψ reduces the nonlinearity connected with the convective term (v∇)v. It means that the velocity expansion over powers of ε (ε≪1) associates with the wave function expansion over powers of ε2.