Unverified50% confidenceEventExact time
On August 15, 2026, NYU mathematician Tristan Buckmaster and Levin Alpaçu, who works at Anthropic, jointly completed a proof of finite-time blowup for the Boussinesq equations and the three-dimensional incompressible Euler equations with the addition of a smooth external force.
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9/11/2026
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UnverifiedOn September 8, 2025, New York University mathematician Tristan Buckmaster publicly released three AI-assisted research results on fluid equations, and in a four-page statement disclosed that OpenAI researchers told him their internal model had generated a finite-time blow-up proof for the Navier-Stokes equations with smooth external force.77% similarUnverifiedBuckmaster and collaborator Levent Alpoge publicly released three results involving the incompressible porous medium equation, the Boussinesq equations, and the three-dimensional incompressible Euler equations, announcing the construction of finite-time blow-up under smooth external forces, and publicly releasing both the papers and the formal verification code.75% similarUnverifiedNew York University mathematics professor Tristan Buckmaster and Anthropic employee Levent Alpoge publicly released three results before OpenAI's announcement, including finite-time blow-up for the three-dimensional incompressible Euler equations with a smooth external force.68% similarUnverifiedSylvester (1814–1897) co-founded matrix theory and invariant theory together with Arthur Cayley.65% similarUnverifiedThe existence of smooth solutions to the Navier–Stokes equations in three-dimensional space has not yet been mathematically proven, and is one of the Millennium Prize Problems offered by the Clay Mathematics Institute.63% similar
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