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

Year: 2026
Type: article
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.
Language: English
Open Access status: gold
Estimated APC paid: $3,990
OpenAlex ID: W7221750464
FWCI:
Cites: 6
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