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mathematical physics

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Abstractions blog

What Makes the Hardest Equations in Physics So Difficult?

January 16, 2018

The Navier-Stokes equations describe simple, everyday phenomena, like water flowing from a garden hose, yet they provide a million-dollar mathematical challenge.

Simulation of Kelvin-Helmholz Instability
fluid dynamics

Mathematicians Find Wrinkle in Famed Fluid Equations

December 21, 2017

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

Lucy Reading-Ikkanda/Quanta Magazine
Abstractions blog

The Math That Promises to Make the World Brighter

September 6, 2017

The color of LED lights is controlled by a clumsy process. A new mathematical discovery may make it easier for us to get the hues we want.

Svitlana Mayboroda
mathematical physics

Mathematicians Tame Rogue Waves, Lighting Up Future of LEDs

August 22, 2017

The mathematician Svitlana Mayboroda and collaborators have figured out how to predict the behavior of electrons — a mathematical discovery that could have immediate practical effects.

mathematical physics

Strange Numbers Found in Particle Collisions

November 15, 2016

An unexpected connection has emerged between the results of physics experiments and an important, seemingly unrelated set of numbers in pure mathematics.

string theory

The Strange Second Life of String Theory

September 15, 2016

String theory has so far failed to live up to its promise as a way to unite gravity and quantum mechanics. At the same time, it has blossomed into one of the most useful sets of tools in science.

Physics

Visions of Future Physics

September 22, 2015

Nima Arkani-Hamed is championing a campaign to build the world’s largest particle collider, even as he pursues a new vision of the laws of nature.

mathematical physics

Famous Fluid Equations Are Incomplete

July 21, 2015

A 115-year effort to bridge the particle and fluid descriptions of nature has led mathematicians to an unexpected answer.

number theory

Mathematicians Chase Moonshine’s Shadow

March 12, 2015

Researchers are on the trail of a mysterious connection between number theory, algebra and string theory.