SMRTR Science & EngineeringJun 11, 2026Scientific American

Humans and AI race to ‘blow up’ math’s toughest equations

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Mathematicians are closing in on one of math's hardest unsolved problems — whether the Navier-Stokes equations, which govern fluid motion, can "blow up" into infinite speeds. A DeepMind AI found promising signs of such a blowup in simulations, but a new proof showed that AI-discovered solutions likely won't solve the full problem. Meanwhile, surfer-mathematician Steve Shkoller developed a breakthrough 100-page proof using fluid intuition, suggesting the key lies in fluids' constant change rather than static patterns.

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