Having a sense of what the Navier-Stokes equations are allows us to discuss why the Millennium Prize solution is so important. The prize problem can be broken into two parts. The first focuses on ...

Navier-Stokes Equation Tom Crawford, Mathematician, ... The equations that explain the universe offers the chance to learn directly from the experts at our one-day masterclass.

Remarkably, this surprising conclusion could have been reached long ago, before Hilbert ever posed the sixth problem. In 1879, another titan of science, the Scottish physicist James Clerk Maxwell, ...

As we celebrate the International Year of Quantum Science and Technology (IYQ) in 2025, we look back on a century of quantum mechanics that has changed ...

For more than 250 years, mathematicians have wondered if the Euler equations might sometimes fail to describe a fluid’s flow. ... The famed Navier-Stokes equations can lead to cases where more than ...

The Navier-Stokes equation (NSE) rules all of fluid dynamics, including, it was supposed to be, turbulence. Fluid dynamics, aerodynamics and turbulence were supposed to be together always.

It’s also much more generalizable, capable of solving entire families of PDEs—such as the Navier-Stokes equation for any type of fluid—without needing retraining.

The Navier-Stokes equations describe how water flows in turbulent situations. williams_jt / Flickr A huge mathematical breakthrough might have just been made, but a language barrier is slowing ...

The Navier-Stokes equation remains an unsolved mathematical puzzle, much like quantum mechanics once was. Yet, just as quantum theory evolved into a driving force for modern innovations, ...