A Geometric–Multiscale–Temporal Conjecture of Depletion through Localized Enstrophy for the 3D Navier–Stokes Equations
Abstract (English) We study geometric and temporal mechanisms of localized vorticity amplification in the threedimensional incompressible Navier–Stokes equations. The exact localized-enstrophy balance separates vortex stretching, transport and diffusion. A finite core/multiscale/far-field decomposition retains directio...