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fluid dynamics

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

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

Mathematicians Find Wrinkle in Famed Fluid Equations

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.
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.

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

For Persi Diaconis’ Next Magic Trick …

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.
Mathematics

A Grand Theory of Wrinkles

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.
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.

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.
Mathematics

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.

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

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