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.

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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
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article

The Navier-Stokes equations blow up, and planes still fly

Amin Doostmohammadi
Communications Physics
Navier-Stokes equation solutions
article

The Navier-Stokes equations blow up, and planes still fly

Amin Doostmohammadi
article en

Abstract

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.

Communications PhysicsVol. 9(1)
University of Copenhagen (DK)
Openalex Percentile: Top 7%
Navier-Stokes equation solutions
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