Dev uses Claude to visualize OpenAI's finite-time blowup construction for 3D Euler
CatAstro_Piyush · x · 2026-09-09
Philip Mocz built euler-blowup-viz on GitHub, a first-pass visualization and simulation of the construction in OpenAI's paper on finite-time blowup for the 3D Euler equation, made with Claude's help. The theorem shows a smooth, compactly supported, divergence-free initial datum whose Euler solution blows up in finite time, bridging prior whole-space sub-smooth results and Chen–Hou's boundary-dependent smooth construction. The mechanism: iterated short-wave (WKB) instability, where each localized high-frequency packet's large gradient becomes the shear amplifying the next packet — geometrically, stacked vortex sheets pivoted 90° and exponentially crowded by the parent shear.
More from Research
- DriveZero: End-to-End Autonomous Driving Beyond Human Demonstrations — Hao He · 2026-09-09
- Microsoft & Tsinghua: structured run views lift GPT-5.1 agent failure localization from 3.6% to 31.4% — rohanpaul_ai · 2026-09-09
- UCLA engineers off-the-shelf T cells from cord blood that curb solid tumors in mice — Dr_Singularity · 2026-09-09
- minnow: An Open-Source Fast Inference Server for LLaDA2.2 Diffusion LMs — coder543 · 2026-09-09
- Translating formally verified but opaque proofs may be future high-status math — Afinetheorem · 2026-09-09
- CoRL 2026 to host 'Pretrain to Adapt' workshop: strongest robot policies aren't easiest to adapt — canondetortugas · 2026-09-09