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A startling experimental discovery about how fluids behave started a wave of important mathematical proofs.
Researchers have spent centuries looking for a scenario in which the Euler fluid equations fail. Now a mathematician has finally found one.
Turbulence is everywhere, yet it is one of the most difficult concepts for physicists to understand.
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 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.