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 ...

The Navier-Stokes equations capture in a few succinct terms one of the most ubiquitous features of the physical world: the flow of fluids. The equations, which date to the 1820s, are today used to ...

A million dollars in cash (£640,000) awaits anyone who can develop a rigorous mathematical model for how fluids flow – this week's Millennium Prize Problem. Fluids are extremely difficult to analyse ...

The Navier–Stokes equations form the cornerstone of modern fluid dynamics, describing the motion of viscous, incompressible fluids through a set of nonlinear partial differential equations. At their ...

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 ...

The Navier-Stokes equations form the cornerstone of mathematical fluid dynamics, describing the motion of viscous, incompressible or compressible fluids. These nonlinear partial differential equations ...

If the Navier–Stokes equations could also blow up, it would mean something is awry with one of the most fundamental equations used to describe nature. "The whole framework that we set up for this ...

Turbulent times This visualization of fluid flow was made using laser-induced fluorescence. (Courtesy: C Fukushima and J Westerweel/Technical University of Delft/CC BY 3.0) The Navier–Stokes partial ...

George Gabriel Stokes was born in Sligo 200 years ago, but his influence is still writ large across science and technology today. In fact, it felt a little strange to ask scientists how Stokes has ...