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Navier-Stokes equations
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.
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.
Mathematics
For Persi Diaconis’ Next Magic Trick …
A mathematician who has analyzed card shuffling for decades is tackling one final nemesis: “smooshing.”
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.
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