ZhETF, Vol. 158,
p. 395 (August 2020)
(English translation - JETP,
Vol. 131, No. 2,
available online at www.springer.com
An antisymmetric solution of the 3D incompressible Navier-Stokes equations with ``tornado-like'' behavior
Boldrighini C., Frigio S., Pellegrinotti A., Sinai Ya.G.
Received: January 10, 2020
Abstract. We consider a solution of the incompressible Navier-Stokes equations in , related to the singular complex solutions of Li and Sinai [e20094-LiSi08], 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.