Why 3D is special: smooth 2D Navier-Stokes stays smooth forever, 3D offers a route to blow-up
stevenstrogatz · x · 2026-09-09
In thread entry 8, Strogatz explains the dimensional gap: in 2D, vortex stretching is absent and smooth Navier-Stokes solutions are known to stay smooth forever, while in 3D stretching provides a possible route to catastrophe—why the Millennium Prize problem targets the 3D case.
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