We’re sharing a solution to the Navier–Stokes existence and smoothness problem, one of the Millennium Prize Problems. T…
By OpenAI · Research
We’re sharing a solution to the Navier–Stokes existence and smoothness problem, one of the Millennium Prize Problems. This proof, produced by an internal OpenAI system, shows that the dynamics of the Navier-Stokes equations for fluid motion can develop a singularity in finite time. We’re sharing both a writeup of the proof and a formalization in Lean. The Millennium Prize Problems represent some of the deepest questions at the frontier of mathematics. The question of whether smooth…
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