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

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

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.

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

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

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

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

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

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

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