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Logarithmic Depletion of Vortex Stretching and Singularity Evasion in the 3D Navier-Stokes Equations

Grujic, Zoran
arXiv (All) · Papers
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analysis-of-pdes
We present a geometric-analytic mechanism for the suppression of finite-time singularities in the 3D incompressible (unforced) Navier-Stokes equations for critical point singularities exhibiting $L^{3/2, \infty}$ spatial concentration of vorticity. We demonstrate that if the vorticity direction resi
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