Why 3D is special: smooth 2D Navier-Stokes stays smooth forever, 3D offers a route to blow-up
stevenstrogatz · x · 2026-09-09
In thread entry 8, Strogatz explains the dimensional gap: in 2D, vortex stretching is absent and smooth Navier-Stokes solutions are known to stay smooth forever, while in 3D stretching provides a possible route to catastrophe—why the Millennium Prize problem targets the 3D case.
More from Research
- Eric Topol challenges frontier-model study: where's proof of sustained upskilling? — EricTopol · 2026-10-27
- New paper: LLM data schedules and learning rate schedules should be co-designed — jasondeanlee · 2026-10-27
- What makes research get adopted: important problems, proper evals, and usability — srchvrs · 2026-10-27
- Bitter lesson part 2: few academic inventions matter, and conference publications aren't the key — srchvrs · 2026-10-27
- First-week PhD student lands ARR Area Chair role, exposing peer-review quirks — anmarasovic · 2026-10-27
- EMNLP keynote: industry does read academic NLP papers, it just rarely credits them — srchvrs · 2026-10-27