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The Open AI Navier Stokes Blowup Result is NOT NAVIER STOKES, but Merely a Euler Blowup in Disguise (Yes, Really)

Nielsen, Jennifer
PhilArchive · Papers
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philosophy
We observe that the finite-time blowup construction announced by OpenAI for the forced three-dimensional Navier–Stokes equations (September 2026) does not establish blowup driven by Navier–Stokes dynamics. The construction chooses a singular velocity field u that blows up, then defines the forcing function as f=D[u], where D is the Navier–Stokes operator. The technical content of the proof is showing that this residual is smooth. However, the forcing function so defined necessarily contains the viscous term νΔu evaluated on the singular solution. This term exactly cancels the viscous dissipation in the equation, reducing the effective dynamics to the Euler equations. The blowup is therefore an Euler blowup with the viscosity subtracted off by the force. Since Euler blowup under smooth forcing was already established by Buckmaster and Alpöge (August 2026), the Navier–Stokes result adds no new dynamical content. The Millennium Prize question — whether viscous dissipation can always tame nonlinear amplification — is not addressed, because the viscosity is formally present but physically cancelled by the constructed force.
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