Content about “navier-stokes equations”

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AI apps on a phone

AI versus mathematics?

AI has recently solved some very hard maths problems. Did AI really do this on its own? What does it mean for the future of mathematics? And how should the maths community respond?

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wave

Has AI cracked a $1m maths problem?

There's been an announcement that an AI system solved one of the most famous problems in maths. Here's a quick look at the problem and why the announcement is significant.

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The lungs of the Earth

How can maths help to understand the Southern Ocean, a vital component of the Earth's climate system?
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Taming water waves

Few things in nature are as dramatic, and potentially dangerous, as ocean waves. The impact they have on our daily lives extends from shipping to the role they play in driving the global climate. From a theoretical viewpoint water waves pose rich challenges: solutions to the equations that describe fluid motion are elusive, and whether they even exist in the most general case is one of the hardest unanswered questions in mathematics.