Vortex Tubes Get Thinner and Spin Faster: Strogatz on Vorticity

stevenstrogatz · x · 2026-09-09

Strogatz offers an intuitive picture of vorticity concentration: picture a vortex tube—a tiny tornado inside the fluid. Stretch it lengthwise; since water is essentially incompressible, the tube gets thinner, and as it thins its vorticity intensifies. This explains how a flow can concentrate vorticity into ever smaller regions, growing stronger and stronger—a physical picture behind possible finite-time Navier–Stokes singularities.

Related event: Mathematician Strogatz Uses ChatGPT to Explain the New Navier-Stokes Singularity Claim — Then Corrects Its Scope(12 posts)→

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