Latest Research Progress on the Navier–Stokes Millennium Problem
AI News Flash: OpenAI recently announced an AI-generated solution to the Navier–Stokes millennium prize problem, releasing a full paper along with a formal proof written in the Lean theorem prover. The Navier–Stokes equations, a system of partial differential equations describing fluid motion, have long been one of the Clay Mathematics Institute’s seven Millennium Prize Problems, carrying a $1 million reward, with the core question being whether smooth, globally-defined (all-time) solutions exist in three dimensions, or whether singularities (where the solution blows up and loses smoothness) can form in finite time.