Regimes of nonlinear depletion and regularity in the 3D Navier-Stokes equations

John D. Gibbon, Diego A. Donzis, Anupam Gupta +3

The periodic $3D$ Navier-Stokes equations are analyzed in terms of dimensionless, scaled, $L^{2m}$-norms of vorticity $D_m$ ($1\le m<\infty$). The first in this hierarchy, $D…