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ZhETF, Vol. 158, No. 2, p. 395 (August 2020)
(English translation - JETP, Vol. 131, No. 2, August 2020 available online at )

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

DOI: 10.31857/S0044451020080167

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Abstract. We consider a solution of the incompressible Navier-Stokes equations in \mathbb R^{3}, 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.

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