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fluid dynamics

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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"
universality

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.

Art for "The Trouble With Turbulence"
In Theory

The Trouble With Turbulence

January 28, 2019

Turbulence is everywhere, yet it is one of the most difficult concepts for physicists to understand.

geophysics

A Universal Law for the ‘Blood of the Earth’

November 28, 2018

Simple physical principles can be used to describe how rivers grow everywhere from Florida to Mars.

Photo of Jupiter for "Mathematicians Tame Turbulence in Flattened Fluids"
fluid dynamics

Mathematicians Tame Turbulence in Flattened Fluids

June 27, 2018

By squeezing fluids into flat sheets, researchers can get a handle on the strange ways that turbulence feeds energy into a system instead of eating it away.