  The equations for a self-similar solution of an inviscid incompressible fluid
are mapped into an integral equation which hopefully can be solved by
iteration. It is argued that the exponent of the similarity are ruled by
Kelvin's theorem of conservation of circulation. The end result is an iteration
with a nonlinear term entering in a kernel given by a 3D integral (in general
3D flow) or 2D (for swirling flows), which seems to be within reach of present
day computational power. Because of the slow decay of the similarity solution
at large distances the total energy is diverging and recent mathematical
results excluding a solution of the self-similar solution of Euler equation do
not apply.
