Mathematicians Prove Universal Law of Turbulence

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Uneven mixing of white and black paint shows turbulence.

FLUID DYNAMICS

 

Mathematicians Prove Universal Law of Turbulence

By KEVIN HARTNETT

By exploiting randomness, three mathematicians have proved an elegant law that underlies the chaotic motion of turbulent systems.

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Turbulent flow.

FLUID DYNAMICS(2017)

 

A Wrinkle Found in Famed Fluid Equations

By KEVIN HARTNETT 

Two mathematicians prove that under certain extreme conditions, the Navier-Stokes equations output nonsense.

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ABSTRACTIONS BLOG(2019)

 

How Randomness Can Make Math Easier

By KEVIN HARTNETT 

Randomness would seem to make a mathematical statement harder to prove. In fact, it often does the opposite. 

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James P. Allison sits at his office desk.

Q&A
 

The Contrarian Who Cures Cancers

By CLAUDIA DREIFUS

James P. Allison believed that unleashing the immune system was a way to beat cancer when almost no one else did. A Nobel Prize and a growing list of cancer survivors vindicate him.

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ABSTRACTIONS BLOG(2018)
 

Nobel Prize Awarded for Cancer Immunotherapy

By JOHN RENNIE

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Artist's conception of a rogue wave about to capsize a sailboat.

FLUID DYNAMICS
 

The Grand Unified Theory of Rogue Waves

By CHARLIE WOOD

Rogue waves — enigmatic giants of the sea — were thought to be caused by two different mechanisms. But a new idea that borrows from the hinterlands of probability theory has the potential to predict them all.

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ABSTRACTIONS BLOG(2018)
 

What Makes the Hardest Equations in Physics So Difficult?

By KEVIN HARTNETT

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THE JOY OF X
 

Leslie Vosshall on Designer Mosquitoes and Dude Walls

Podcast hosted by STEVEN STROGATZ

Leslie Vosshall, professor of neurogenetics and behavior at the Rockefeller University, talks about the science behind our sense of smell and how it guides her work on making mosquitoes less deadly. But after she discusses the academic barriers to inclusivity, host Steven Strogatz is inspired to action.

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ARTIFICIAL INTELLIGENCE(2018)

 

AI Strategy Mimics How Brains Learn to Smell

By JORDANA CEPELEWICZ

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Illustration of flying bird confronting a bottomless stack of turtles.

INSIGHTS PUZZLE
 

Did the Chicken Come First or Is It Turtles All the Way Down?

By PRADEEP MUTALIK

The apparent paradox of the chicken and the egg smells like "turtles all the way down." This puzzle shows how biology and physics can overcome infinite regress. 

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