Primary sourcearXiv: OpenAI
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关于3D Navier-Stokes方程渐近轴对称解的解析力研究
本文研究了3D Navier-Stokes方程在解析力作用下的渐近轴对称解的正规性。作者假设解满足特定类型II各向异性角平均约束和轴对称性,证明了这些解在潜在奇点处是正规的。这意味着在OpenAI的构造中,以及任何具有类似性质且力在C2空间变量上保持有界的构造中,力在奇点附近既不能恒为零,也不能局部一致地解析。
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这是关于流体力学中一个经典问题的数学证明,对研究3D Navier-Stokes方程的学者可能有参考价值。
10 sources23° AI heatLast updated 2026/9/17 17:57:45
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10 sourcesRelated source 1Gary Marcus
View sourceRelated source 2OpenAI Blog
View sourceRelated source 3AI Will
View sourceRelated source 4IT之家
View sourceRelated source 5theverge
View sourceRelated source 6Simon Willison’s Weblog
View sourceRelated source 7宝玉
View sourceRelated source 8Decoder
View sourceRelated source 9DeepLearning.AI
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