Fluid dynamics

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

Physicists have found examples of “universality” in a system of confined bubbles. The work could help researchers understand the strange behavior of singularities.

Turbulence is everywhere, yet it is one of the most difficult concepts for physicists to understand.

Simple physical principles can be used to describe how rivers grow everywhere from Florida to Mars.

By squeezing fluids into flat sheets, researchers can get a handle on the strange ways that turbulence feeds energy into a system instead of eating it away.

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.

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

A mathematician who has analyzed card shuffling for decades is tackling one final nemesis: “smooshing.”