OpenAI claims to solve part of Navier-Stokes problem in 88 hours

OpenAI announced that its latest language model, GPT‑4 Turbo, had generated a solution to a subset of the Navier‑Stokes equations, a long‑standing challenge in fluid dynamics and one of the seven Millennium Prize Problems. The company released a technical brief describing how the model produced analytic expressions that satisfy the equations under specific boundary conditions and simplified geometries, and it suggested that the approach could accelerate research in turbulence modeling and engineering simulations.

The claim has provoked swift scrutiny from the mathematical community. Experts from the Clay Mathematics Institute and leading universities noted that the solution addresses only highly idealized cases and does not meet the rigorous criteria required for a full resolution of the Navier‑Stokes problem. Several researchers have requested independent verification of the results and warned that overstating the achievement could mislead both scientists and the public. OpenAI has responded that the work is intended as a proof of concept for AI‑assisted discovery rather than a definitive proof, and it plans to collaborate with specialists to refine and validate the findings.