An L log L bound on the vorticity in the 3D NSE

An L log L bound on the vorticity in the 3D NSE

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Zoran Grujic , University of Virginia
Fine Hall 322

The goal of this lecture is to present a spatially localized L log L bound on the vorticity in the 3D Navier-Stokes equations, assuming a very mild, _purely geometric_ condition. Besides being of an independent interest, the bound transforms a physically, numerically, and mathematical-analysis motivated large-data criticality scenario (based on vortex stretching and anisotropic diffusion) into a no blow-up scenario.