  In 1944 L.D.Landau calculated a very interesting family of explicit solutions
of the steady-state 3d Navier-Stokes equations. The solutions are derived under
certain assumptions of symmetry, which reduce the Navier-Stokes equations to a
system of ODEs. We investigate what happens when some of the symmetry
conditions are dropped (and we have to deal with PDEs). Implications of these
calculations for more general classes of solutions are also discussed. We also
discuss the situation for general dimension.
