Famous Fluid Equations Spring a Leak

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FLUID DYNAMICS
 

Famous Fluid Equations Spring a Leak

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.

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FLUID DYNAMICS(2017)
 

Mathematicians Find Wrinkle in Famed Fluid Equations

By KEVIN HARTNETT 

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

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ABSTRACTIONS BLOG(2018)
 

What Makes the Hardest Equations in Physics So Difficult?

By KEVIN HARTNETT 

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

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CRYSTALS
 

Toward a Grand Unified Theory of Snowflakes

By REBECCA BOYLE

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

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CHEMISTRY
 

Black, Hot Ice May Be Nature's Most Common Form of Water

By JOSHUA SOKOL

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ABSTRACTIONS BLOG
 

No Dark Energy? No Chance, Cosmologists Contend

By NATALIE WOLCHOVER

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

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COSMOLOGY
 

Cosmologists Debate How Fast the Universe Is Expanding

By NATALIE WOLCHOVER

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ABSTRACTIONS BLOG
 

Sleeping Brain Waves Draw a Healthy Bath for Neurons

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.

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NEUROSCIENCE
 

Dueling Brain Waves Anchor or Erase Learning During Sleep

By ELENA RENKEN

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