It’s also much more generalizable, capable of solving entire families of PDEs—such as the Navier-Stokes equation for any ... while the little eddies that form at the micro level are like ...

New Scientist reports that Kazakh mathematician Mukhtarbay Otelbayev may have solved an extremely difficult and useful mathematics problem: the Navier-Stokes equations. This is one of the Clay ...

Leray proved that it’s always possible to solve the Navier-Stokes equations when you allow your solutions to take this particular form. In other words, Leray solutions never blow up. Leray’s ...