Anandkumar team finds stable singularity in 3D Euler using PINNs, independently verified
thesaraharminta · x · 2026-09-08
Anima Anandkumar's team announced a stable singularity for the 3D Euler equations. Their approach uses a physics-informed neural network (PINN) to produce an approximate solution, then argues stability around it to complete the proof. PINNs previously failed on such problems by converging to trivial solutions; the team nudges the PINN toward interesting regions via a combination of constraints, which they describe as a novel way to make PINNs work on hard optimization problems, backed by a detailed study of the transport field of the approximate profile. An independent Euler result also broke the same night.
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