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安定テクノロジー報道日時 2026-09-08 18:00

OpenAIはナビエ-ストークス方程式における奇点の証明を主張する

OpenAIは、流体運動のナビエ・ストークス方程式が有限時間内で特異点を発生させるという証明を発見したと主張しています。これはミレニアム Prize 問題の一つを解決するものになります。

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  • OOpenAI News企業開示2026-09-08 18:00
    We’re sharing a solution to the Navier–Stokes existence and smoothness problem, one of the Millennium Prize Problems.
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  • OOpenAI News企業開示2026-09-08 18:00
    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 ti…
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  • OOpenAI News企業開示2026-09-08 18:00
    Our system produced an analytical proof and a Lean formalization that an initially smooth fluid at rest can develop a singularity in a finite time. The fluid has a smooth force applied to it, and its energy remains finite through the entire dynamics, from rest to the formation o…
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