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The Trouble With Turbulence
Turbulence is everywhere, yet it is one of the most difficult concepts for physicists to understand.
A Traveler Who Finds Stability in the Natural World
The mathematician Alessio Figalli is rarely in one place for very long. But his work has established the stability of everything from crystals to weather fronts by using concepts derived from Napoleonic fortifications.
Mathematicians Tame Turbulence in Flattened Fluids
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.
Mathematicians Disprove Conjecture Made to Save Black Holes
Mathematicians have disproved the strong cosmic censorship conjecture. Their work answers one of the most important questions in the study of general relativity and changes the way we think about space-time.
How Einstein Lost His Bearings, and With Them, General Relativity
By 1913, Albert Einstein had nearly completed general relativity. But a simple mistake set him on a tortured, two-year reconsideration of his theory. Today, mathematicians still grapple with the issues he confronted.
To Test Einstein’s Equations, Poke a Black Hole
Two teams of researchers have made significant progress toward proving the black hole stability conjecture, a critical mathematical test of Einstein’s theory of general relativity.
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.
Mathematicians Find Wrinkle in Famed Fluid Equations
Two mathematicians prove that under certain extreme conditions, the Navier-Stokes equations output nonsense.
Yves Meyer, Wavelet Expert, Wins Abel Prize
The French mathematician was cited “for his pivotal role in the development of the mathematical theory of wavelets.”