Headlines announced the solution of a million-dollar problem, one of the Clay Mathematics Institute’s Millennium Prize Problems.

The results tell a more precise story. Regularity for the Navier–Stokes equations remains open in the unforced case. Several groups have shown that a singularity can form under tightly controlled conditions. OpenAI has also published a separate theorem on blowup for unforced Euler; an independent group has found a numerical candidate for a stable singularity in the same regime.