The Navier-Stokes equations blow up, and planes still fly
An AI system reports a proof that the Navier–Stokes equations can produce infinite velocities in a finite time. For pure mathematics, this could be a major event. For physics, it changes much less, and it gives no reason to doubt the equations that we use every day to fly aircraft, forecast the weather, and treat patients with cardiovascular disease.
Authors
- Amin Doostmohammadi (ORCID: https://orcid.org/0000-0002-1116-4268)
Institutions
- University of Copenhagen (DK)
Publication Details
- Journal
- Communications Physics
- Published
- 2026-10-14
- DOI
- https://doi.org/10.1038/s42005-026-02930-y
- Primary Topic
- Navier-Stokes equation solutions
- Type
- article
- Field-Weighted Citation Impact
- 0.00