On the Navier–Stokes Millennium Prize Problem进行中
On the Navier–Stokes Millennium Prize Problem (via) Impressive result from OpenAI, who used an unreleased model to produce a resolution to the Navier–Stokes existence and smoothness problem, one of the seven Millennium Prize Problems that have been subject to a $1,000,000 prize since May 24th, 2000. The discovery is…
事件导读
OpenAI 宣布其内部AI系统已解决了纳维-斯托克斯存在性与光滑性问题,这是七大千禧年大奖难题之一。该证明显示纳维-斯托克斯方程的流体动力学可能在有限时间内产生奇点。此外,OpenAI的多智能体系统还解决了欧拉方程的正则性问题。Tristan和Levent也利用Claude和Codex(主要是GPT-5.6 Sol)取得了类似突破,这共同表明AI在解决复杂数学问题方面取得了显著进展。
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On the Navier–Stokes Millennium Prize Problem (via) Impressive result from OpenAI, who used an unreleased model to produce a resolution to the Navier–Stokes existence and smoothness problem, one of the seven Millennium Prize Problems that have been subject to a $1,000,000 prize since May 24th, 2000. The discovery is…
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…