The irregular, swirling motion of fluids we call turbulence can be found everywhere, from stirring in a teacup to currents in ...

Computational fluid dynamics (CFD) is a branch of physics that utilizes numerical methods and algorithms to analyze and predict the behavior of fluids and gases under various conditions. This field ...

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 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 ...

For more than 250 years, mathematicians have wondered if the Euler equations might sometimes fail to describe a fluid’s flow. A new computer-assisted proof marks a major breakthrough in that quest.