A straightforward derivation shows that in two-dimensional vortical fl
ows without the effect of unsteady irrotational straining there is a s
et of three diagnostic equations (i.e. not involving time derivatives)
associated with the prognostic one for vorticity transport. These equ
ations provide - apart from the primary diagnostic significance - a sp
ecific (topological, dynamical, geometrical) meaning treated in detail
.