Partial differential equations

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

Martin Hairer was named a 2014 Fields medalist for an epic masterpiece in stochastic analysis that colleagues say “created a whole world.”

A daring speculation offers a potential way forward in one of the great unsolved problems of mathematics: the behavior of the Navier-Stokes equations for fluid flow.