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fluid dynamics

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

New Quantum Algorithms Finally Crack Nonlinear Equations

January 5, 2021

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.

A Mathematician’s Unanticipated Journey Through the Physical World

December 16, 2020

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

September 3, 2020

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.


The Map of Mathematics

February 13, 2020

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

February 5, 2020

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

February 4, 2020

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

January 13, 2020

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

December 18, 2019

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"

Bubble Experiment Finds Universal Laws

July 31, 2019

Physicists have found examples of “universality” in a system of confined bubbles. The work could help researchers understand the strange behavior of singularities.