Short··0:12
Finite Time Blowup for Navier-Stokes | OpenAI's Reported Proof
About this video
Finite Time Blowup for Navier-Stokes: a 3D illustration of the vortex mechanism in OpenAI's reported proof, released on September 8, 2026.
The reported result constructs a smooth, forced, three-dimensional incompressible flow that starts from rest, maintains bounded kinetic energy, and develops unbounded velocity in finite time. It addresses the forced breakdown alternatives C and D in the Millennium Prize formulation. It does not establish breakdown for the unforced Navier-Stokes problem.
This animation shows local inward spiraling and axial stretching using an original incompressible schematic field. It is an illustrative loop, not a numerical solution of the paper's full construction, a simulation of infinity, or an independent proof verification. Tracer color is illustrative. The spatial reference rings are graphics, not physical boundaries.
Paper: cdn.openai.com/pdf/32d9f210-8b73-45e0-91bc-82a30aef8a9a/navie…
GitHub proof materials and Lean formalization: github.com/openai/NavierStokesAndEuler
Independent-checking instructions: github.com/openai/NavierStokesAndEuler/tree/main/ComparatorCh…
OpenAI announcement: openai.com/index/navier-stokes-solution/
Original Blender animation.
Music: 'Aphelion' by Scott Buckley - released under CC-BY 4.0. www.scottbuckley.com.au
Track: scottbuckley.com.au/library/aphelion/
License: creativecommons.org/licenses/by/4.0/
Edited excerpt with a short loop crossfade and level adjustment.
Topics
Navier StokesNavier-Stokes equationsNavier Stokes prooffinite time blowupOpenAI Navier StokesOpenAI mathematicsfluid dynamicsincompressible flowvortex stretchingMillennium Prize Problemsmathematical visualization3D mathBlender animation
