SEVENSA / RESEARCH INTELLIGENCEINDEPENDENT EDITORIAL ATLAS

Partial differential equations

Check the benchmark version, sampling budget, data contamination controls, human interventions and proof-review method. A final answer or benchmark score is not evidence that every reasoning step is valid.

Explained dossiers

01OpenAI
∂ₜu + (u·∇)u = −∇p + νΔu + f

Can smooth fluid flow become singular?

Picture a whirlpool spinning ever faster into an increasingly tiny region. Can the equations describing water or air become infinitely intense from a smooth start? OpenAI says its model constructed such an example.

Formal proof reported↗

Research notes