For centuries, mathematicians have sought to understand and model the motion of fluids. The equations that describe how ripples crease the surface of a pond have also helped researchers to predict the ...

Whenever I get coffee with a mathematician, I always ask which of the seven Millennium Problems they think will be next to ...

Add Yahoo as a preferred source to see more of our stories on Google. Frank Merle studies nonlinear equations, which respond in dramatic ways to tiny shifts in their input. Frank Merle is used to ...

Researchers have spent centuries looking for a scenario in which the Euler fluid equations fail. Now a mathematician has finally found one. Mathematicians have suspected for years that under specific ...

The following is an extract from our Lost in Space-Time newsletter. Each month, we hand over the keyboard to a physicist or mathematician to tell you about fascinating ideas from their corner of the ...

The Euler fluid equations on a rotating sphere can be projected to spherical harmonics with a Lie-Poisson structure of SU(N) using a construction due to Zeitlin. We will show that for N=3 and N=4 this ...

Yet much remains unknown about the Euler equations—including whether they’re always an accurate model of ideal fluid flow. One of the central problems in fluid dynamics is to figure out if the ...