Gifted centers on the Navier-Stokes problem, prompting many viewers of the 2017 drama to wonder what the unsolved math problem is â and whether real-life mathematicians have since solved it ...

The famed Navier-Stokes equations can lead to cases where more than one result is possible, but only in an extremely narrow set of situations. For nearly two centuries, all kinds of researchers ...

In this paper, the three-dimensional compressible Navier-Stokes equations are considered on a periodic domain. We propose a semidiscrete numerical scheme and derive a priori bounds that ensure that ...

We derive a detailed, pointwise description of the asymptotic behavior of solutions of the Cauchy problem for the Navier-Stokes equations of compressible flow in several space dimensions, with initial ...

We use the Navier-Stokes equations every day, for applications from building rockets to designing drugs. But sometimes they break – and we don’t know why ...