Anima Anandkumar's team proves stable 3D Euler singularity using PINNs
cephaloform · x · 2026-09-08
Anima Anandkumar's team reports finding a stable singularity on the 3D Euler equations, combining neural networks with rigorous proof.
Key points:
- A physics-informed neural network (PINN) produces an approximate singular profile, and stability is then argued around that approximate answer to complete the proof.
- PINNs typically fail here by converging to trivial solutions; the team nudges the network toward interesting regions via a combination of constraints — a novel recipe for hard optimization problems.
- They also carry out a detailed study of the transport field of the approximate profile.
Responding to questions, Anandkumar notes the work is very "AI-light": PINNs, not LLMs, do the heavy lifting.
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