Researchers present evidence of a stable finite-time singularity in the 3D Euler equations on R^3
Dr_Singularity · x · 2026-09-09
The Anima on AI team reports evidence of a stable, self-similar finite-time blowup in the 3D Euler equations on free space R^3, without boundaries or forcing — a longstanding open problem related to the Navier-Stokes Millennium Prize Problem. They use a physics-informed neural network (PINN) to discover the candidate blowup, then certify numerical bounds to support the stability argument. Prior PINN attempts often converged to trivial solutions; the team nudged the network toward interesting regions via novel combinations of constraints. Follows Hou & Chen's 2022 boundary-confined blowup result.
More from Research
- Hugging Face uses small open models to reverse engineer a game binary byte-for-byte — yb2698 · 2026-10-26
- Author hopes contracting formalism becomes AI's "MDP moment" for agent economics — xuanalogue · 2026-10-26
- Frontier LLMs negotiate contracts poorly and frequently renege for selfish gain, study finds — xuanalogue · 2026-10-26
- ContractSim: first framework evaluating LLM negotiation over contingent natural-language contracts — xuanalogue · 2026-10-26
- Partial RoPE study: rotating ~10% of dims matches full RoPE convergence with 10x smaller cache — BlancheMinerva · 2026-10-26
- Study of 133 patent lawyers: AI augments veterans but causes cognitive offloading in novices — xiaohu · 2026-10-26