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 ...

You're currently following this author! Want to unfollow? Unsubscribe via the link in your email. A huge mathematical breakthrough might have just been made, but a language barrier is slowing things ...

The stability analysis of compressible Navier-Stokes equations is vital for understanding the behaviour of viscous, compressible flows in various physical settings. Research in this area investigates ...

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 ...

The Navier-Stokes equations are fundamental in fluid dynamics, describing the motion of incompressible viscous fluids. Their analysis is critical for understanding turbulence, stability, and flow ...

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 ...

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 ...

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

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 ...