The compressible Navier-Stokes equations form the cornerstone of fluid dynamics, describing the motion of viscous compressible fluids under conservation of mass, momentum and energy. By incorporating ...

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 ...

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 ...

In a 2001 paper, S. Montgomery-Smith provides a one-dimensional model for the three-dimensional, incompressible Navier-Stokes equations, for which he proves the blow-up of solutions associated with a ...

A daring speculation offers a potential way forward in one of the great unsolved problems of mathematics: the behavior of the Navier-Stokes equations for fluid flow From Quanta Magazine (find original ...

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 ...

You're currently following this author! Want to unfollow? Unsubscribe via the link in your email. Follow Andy Kiersz Every time Andy publishes a story, you’ll get an alert straight to your inbox!

Partial differential equations can describe everything from planetary motion to plate tectonics, but they’re notoriously hard to solve. Ms Tech | Science Photo Library via AP Unless you’re a physicist ...

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 ...