Tao says Navier-Stokes blowup proof is close: AI-assisted work formalized in Lean
littmath · x · 2026-09-08
Terence Tao reports a breakthrough by Alpöge and Buckmaster, building on Córdoba and Martínez-Zoroa, proving finite-time blowup with smooth forcing for the incompressible porous medium, 2D Boussinesq, and 3D incompressible Euler equations.
- The community now expects smooth-data blowup for 3D Navier-Stokes is achievable soon, possibly even without forcing
- Buckmaster's variant of the Córdoba–Martínez-Zoroa method likely extends to Navier-Stokes itself
- The work was already formalized in Lean using autoformalization agents; peer review pending
Related event: Tao Hails AI-Assisted Fluid Blowup Breakthrough, Formalized in Lean(9 posts)→
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