Strogatz Explains Navier–Stokes Singularity: A Cascade Across Shrinking Scales
stevenstrogatz · x · 2026-09-09
Mathematician Steven Strogatz breaks down the new construction related to the Navier–Stokes Millennium problem. He notes 3D is special because of vortex stretching: in 2D stretching is absent and smooth solutions provably stay smooth forever, while in 3D it offers a possible route to catastrophe. The new construction carefully arranges activity on smaller and smaller spatial scales as a cascade—each scale amplifies the next smaller one, potentially driving a finite-time singularity.
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