Stable singularity found on 3D Euler using PINNs, Anandkumar team reports

anshulkundaje · x · 2026-09-09

Anima Anandkumar's team reports a stable singularity on 3D Euler. The approach uses a physics-informed neural network (PINN) to find an approximate profile, then argues stability around it to complete the proof. PINNs typically converge to trivial solutions on such problems; the team nudges them toward interesting regions via a novel combination of constraints, plus a detailed study of the transport field.

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