Z. Gruji'c

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

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 critical Lorentz space...