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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.
Corina Tarnita deciphers bizarre patterns in the soil created by competing life-forms.
An eminent mathematician reveals that his advances in the study of millennia-old mathematical questions owe to concepts derived from physics.
Edward Witten reflects on the meaning of dualities in physics and math, emergent space-time, and the pursuit of a complete description of nature.