By KEVIN HARTNETT

Researchers have spent centuries looking for a scenario in which the Euler fluid equations fail. Now a mathematician has finally found one. Read the article

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

The Navier-Stokes equations describe simple phenomena, yet they provide a million-dollar mathematical challenge. Read the blog

By REBECCA BOYLE

Snow crystals come in two main types. The "pope" of snowflake physics has a new theory that explains why. Read the article

By JOSHUA SOKOL

Read the article

By NATALIE WOLCHOVER

A study challenged the evidence for the mysterious antigravitational force known as dark energy. Then cosmologists shot back. Read the blog

By ELENA RENKEN

An organized tide of brain waves, blood and spinal fluid pulsing through a sleeping brain may flush away neural toxins that cause Alzheimer's and other diseases. Read the blog

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