A spatially localized $L \\log L$ estimate on the vorticity in the 3D NSE
Zachary BradshawZoran Grujic
35763D Navier-Stokescriticalityvorticity
The purpose of this note is to present a spatially localized $L\log L$ bound on the vorticity in the 3D Navier-Stokes equations, assuming a very mild, \emph{purely geometric} condition. This yields an extra-log decay of the distribution function of the vorticity, which in turn implies \emph{breaking the criticality} in a physically, numerically, and mathematical analysis-motivated criticality scenario based on vortex stretching and anisotropic diffusion.
Indiana University Mathematics Journal
2015
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10.1512/iumj.2015.64.5496
10.1512/iumj.2015.64.5496
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Indiana Univ. Math. J. 64 (2015) 433 - 440
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