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: physics-informed neural networks were used to discover the candidate blowup, with certified numerical bounds supporting the stability argument.

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

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

Original post →

More from Research

Research channel →