The compressible Navier-Stokes and magnetohydrodynamic (MHD) equations form the cornerstone of fluid dynamics when accounting for both variable density and the influence of magnetic fields. The ...

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 ...

The following is an extract from our Lost in Space-Time newsletter. Each month, we hand over the keyboard to a physicist or mathematician to tell you about fascinating ideas from their corner of the ...

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 describe simple, everyday phenomena, like water flowing from a garden hose, yet they provide a million-dollar mathematical challenge. Physics contains equations that ...

The compressible Navier-Stokes-Poisson equations constitute a fundamental mathematical framework that couples the classical compressible Navier-Stokes equations with a Poisson equation governing the ...