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 ...

It’s the Navier-Stokes existence and uniqueness problem, based on equations written down in the 19th century. The solution of this prize problem would have a profound impact on our understanding ...

Although Navier–Stokes equations are the foundation of modern hydrodynamics, adapting them to quantum systems has so far been a major challenge. Researchers from the Faculty of Physics at the ...

Yet, despite all this progress, one of the biggest unsolved mysteries in physics and mathematics remains—the Navier-Stokes equation. Quantum mechanics and fluid dynamics, though seemingly ...

A new computer-assisted proof marks a major breakthrough in that quest. Mathematicians Coax Fluid Equations Into Nonphysical Solutions The famed Navier-Stokes equations can lead to cases where more ...

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. Finally, it is 1,000 times ...

Two mathematicians prove that under certain extreme conditions, the Navier-Stokes equations output nonsense. The Navier-Stokes equations capture in a few succinct terms one of the most ubiquitous ...