AN ANTISYMMETRIC SOLUTION OF THE 3D INCOMPRESSIBLE NAVIER–STOKES EQUATIONS WITH “TORNADO-LIKE” BEHAVIOR

We consider a solution of the incompressible Navier–Stokes equations in R3, related to the singular complex solutions of Li and Sinai [1], and such that a growth of the enstrophy S(t) is expected. The computer simulations show that S(t) increases up to a time TE (singularities are excluded by axial symmetry). They also reveal an interesting “tornado-like” behavior, with a sharp increase of speed and vorticity in an annular region, as for some “extreme” weather phenomena.