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On Decay of the Local Mean Oscillations of the Vorticity Direction in Critical Navier-Stokes Flows

Grujic, Zoran
arXiv (All) · Papers
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analysis-of-pdes
We isolate and analyze the geometric PDE governing the evolution of the vorticity direction in the 3D incompressible (unforced) Navier-Stokes equations (NSE), restricted to the case of a critical spatial point singularity where the vorticity magnitude concentrates as $O(|x|^{-2})$, inhabiting the cr
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