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The Quanta Podcast

Deep Learning Poised to 'Blow Up' Famed Fluid Equations

The Quanta Podcast

Quanta Magazine

Physics, Life Sciences, Science

4.7640 Ratings

🗓️ 3 August 2022

⏱️ 22 minutes

🧾️ Download transcript

Summary

For centuries, mathematicians have tried to prove that Euler’s fluid equations can produce nonsensical answers. A new approach to machine learning has researchers betting that “blowup” is near. Read more at quantamagazine.org. Music is “Pulse” by Geographer.

Transcript

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0:00.0

Welcome to Quantum Magazine's podcast.

0:10.0

Each episode we bring you stories about developments in science and mathematics.

0:14.0

I am Susan Vallett.

0:16.0

For more than 250 years, mathematicians have been trying to blow up some of the most important

0:22.9

equations in physics, those that describe how fluids flow.

0:28.6

If they succeed, then they'll have discovered a scenario in which those equations break down,

0:34.2

a vortex that spins infinitely fast perhaps, or a current that abruptly stops and starts,

0:40.3

or a particle that whips past its neighbors infinitely quickly. Beyond that point of blow-up,

0:46.3

known as the singularity, the equations will no longer have solutions. They will fail to

0:53.3

describe even an idealized version of the world we live in.

0:57.6

Then, mathematicians will have reason to wonder just how universally dependable they are as models of

1:04.7

fluid behavior. Now, a new approach to machine learning might be getting them closer to that blow-up.

1:11.9

That's next.

1:16.9

Imagine you're in a lab where you've synthesized ancient DNA sequences and spliced them

1:25.3

into modern bacteria just to see how they'd react.

1:28.6

They needed each other, but they didn't want each other.

1:32.0

So, you know, it was like a very complicated relationship unfolding in front of me.

1:37.1

This isn't Jurassic Park or some sci-fi movie.

1:40.3

I'm Steve Strogetz, and this is the Joy of Why.

1:43.7

A new podcast from Quantum Magazine that takes you into some of the biggest unanswered mysteries in science and math today.

1:50.0

Join me on The Joy of Why as we explore these questions.

1:54.0

We may not have all the answers yet, but I'm pretty sure the curiosity to figure them out is in our DNA.

...

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