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Stochastic evolution of small-scale velocity fluctuations in
Formation of vortex filaments (regions of high vorticity) is derivedbased on the Navier-Stokes equation. Stochasticity is introduced via
random large-scale velocity components, without using external
random forces. It is shown that, under general assumptions,
high-vorticity regions undergo exponential stretching. The motion
inside a filament is reduced to one-dimensional.
Author(s):
Kirill Zybin
P.N. Lebedev Physical Institute, Theory Department
Russian Federation
Valeria Sirota
P.N. Lebedev Physical Institute, Theory Department
Russian Federation