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fluid dynamics

Photo of smoke
Abstractions blog

What Makes the Hardest Equations in Physics So Difficult?

January 16, 2018

The Navier-Stokes equations describe simple, everyday phenomena, like water flowing from a garden hose, yet they provide a million-dollar mathematical challenge.

Simulation of Kelvin-Helmholz Instability
fluid dynamics

Mathematicians Find Wrinkle in Famed Fluid Equations

December 21, 2017

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

mathematical physics

Famous Fluid Equations Are Incomplete

July 21, 2015

A 115-year effort to bridge the particle and fluid descriptions of nature has led mathematicians to an unexpected answer.

Mathematics

For Persi Diaconis’ Next Magic Trick …

April 14, 2015

A mathematician who has analyzed card shuffling for decades is tackling one final nemesis: “smooshing.”

Mathematics

A Grand Theory of Wrinkles

April 8, 2015

A collaboration between mechanical engineers and mathematicians has revealed universal rules for how wrinkles form.

Boucing droplet
quantum physics

Fluid Tests Hint at Concrete Quantum Reality

June 24, 2014

Surprising oil drop experiments suggest that the quantum world may not be as strange as advertised.

Submerged turbulent jet
Mathematics

A Fluid New Path in Grand Math Challenge

February 24, 2014

A daring speculation offers a potential way forward in one of the great unsolved problems of mathematics: the behavior of the Navier-Stokes equations for fluid flow.

Trefoil vortex knot.
fluid dynamics

Could Knots Unravel Mysteries of Fluid Flow?

December 9, 2013

By investigating the central role played by knots in fluids and fields, physicists hope to unravel long-standing mysteries of turbulence.

climate science

The Ocean’s Dynamic Role in Climate Change

April 11, 2013

New data collected by mathematicians and oceanographers in the frigid waters of the Southern Ocean could dramatically improve climate models.