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OpenAI reports: smooth unforced Euler blowup on R³

The manuscript reports smooth compactly supported divergence-free initial data on R³ whose unforced three-dimensional incompressible Euler solution has finite maximal lifespan, with unbounded velocity gradient and divergent time integral of maximum vorticity.

Sources for this record

What was already known

Earlier boundary-domain or lower-regularity blowup results leave smooth whole-space unforced data as a distinct target.

What changed and why it matters

Resolves the smooth whole-space unforced Euler finite-time breakdown target, beyond forced or lower-regularity variants.

The AI contribution

OpenAI reports AI agents constructed this argument; existing human blowup methods and concurrent forced results are retained in the comparison.

Limitations

Euler has no viscosity and this statement does not establish unforced Navier–Stokes blowup. The earlier forced Euler work is distinct. AIProofWatch has not audited the proof or compiled the Lean artifact.

Verification evidence

Evidence labels show what supports the claim. Importance rates its impact if correct.

Author claim

The source reports this precise contribution; statement review does not establish a proof audit.

Accessible artifact / proof

Accessible supporting proof or code; not compiled or reproduced by AIProofWatch.

Correction and publication history

2026-10-11 · publication

Public-discussion audit found this substantive scoped contribution missing. Source statement, baseline, attribution and importance reviewed; no full proof audit. Historical addition without subscriber alerts.

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