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fluid dynamics

Photo of smoke
Abstractions blog

What Makes the Hardest Equations in Physics So Difficult?

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

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

mathematical physics

Famous Fluid Equations Are Incomplete

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


For Persi Diaconis’ Next Magic Trick …

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


A Grand Theory of Wrinkles

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

Boucing droplet
quantum mechanics

Fluid Tests Hint at Concrete Quantum Reality

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

Submerged turbulent jet

A Fluid New Path in Grand Math Challenge

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?

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

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