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fluid dynamics

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An animation showing chaotic swirls of purple coalesce into a single line
Abstractions blog

New Quantum Algorithms Finally Crack Nonlinear Equations

By Max G. Levy
January 5, 2021
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Two teams found different ways for quantum computers to process nonlinear systems by first disguising them as linear ones.

Mathematician Lauren Williams standing in front of a whiteboard that has mathematics written on it.
combinatorics

A Mathematician’s Unanticipated Journey Through the Physical World

By Kevin Hartnett
December 16, 2020
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Lauren Williams has charted an adventurous mathematical career out of the pieces of a fundamental object called the positive Grassmannian.

fluid vortices
fluid dynamics

An Unexpected Twist Lights Up the Secrets of Turbulence

By David H. Freedman
September 3, 2020
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Having solved a central mystery about the “twirliness” of tornadoes and other types of vortices, William Irvine has set his sights on turbulence, the white whale of classical physics.

Multimedia

The Map of Mathematics

By Kevin Hartnett
February 13, 2020
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Explore our surprisingly simple, absurdly ambitious and necessarily incomplete guide to the boundless mathematical universe.

A rogue wave and a sailboat.
fluid dynamics

The Grand Unified Theory of Rogue Waves

By Charlie Wood
February 5, 2020
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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.

Photo of black and white swirls of mixing paint
fluid dynamics

Mathematicians Prove Universal Law of Turbulence

By Kevin Hartnett
February 4, 2020
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By exploiting randomness, three mathematicians have proved an elegant law that underlies the chaotic motion of turbulent systems.

Abstractions blog

For Fluid Equations, a Steady Flow of Progress

By Kevin Hartnett
January 13, 2020
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A startling experimental discovery about how fluids behave started a wave of important mathematical proofs.

Animation of two rings of fluid approaching each other and colliding.
fluid dynamics

Famous Fluid Equations Spring a Leak

By Kevin Hartnett
December 18, 2019
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Researchers have spent centuries looking for a scenario in which the Euler fluid equations fail. Now a mathematician has finally found one.

Art for "Bubble Experiment Finds Universal Laws"
universality

Bubble Experiment Finds Universal Laws

By Charlie Wood
July 31, 2019
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Physicists have found examples of “universality” in a system of confined bubbles. The work could help researchers understand the strange behavior of singularities.


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