AI may have found a real singularity in the 3D Euler equations

Dr_Singularity · x · 2026-09-09

Researchers report evidence for a stable, self-similar finite-time singularity in the 3D Euler equations in free space, without boundaries or forcing. The approach uses physics-informed neural networks to discover the candidate blowup, with certified numerical bounds supporting the stability argument.

If it holds up, the result would resolve a major open problem in mathematical fluid dynamics — another striking example of AI-assisted mathematical discovery.

Related event: Anandkumar Team Proves Stable Singularity in 3D Euler Equations with PINN Assist(14 posts)→

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