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 ...

For centuries, mathematicians have sought to understand and model the motion of fluids. The equations that describe how ripples crease the surface of a pond have also helped researchers to predict the ...

Stochastic fluid dynamics extends classical fluid mechanics by incorporating randomness and uncertainty directly into the governing equations. This approach utilises stochastic differential equations ...

A 115-year effort to bridge the particle and fluid descriptions of nature has led mathematicians to an unexpected answer. In 1900, the great mathematician David Hilbert presented a list of 23 unsolved ...

Virial coefficients are fundamental parameters in the statistical description of fluids, encapsulating the effects of molecular interactions on macroscopic thermodynamic properties. Through the virial ...

Whichever the winner is, not many are likely to have bet on the the Navier-Stokes equations. In fact, few scientists outside of fluid dynamics know about them, and even fewer outside science. What ...

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 ...

Dr. Julien's primary areas of research are in the dynamics and instability processes in geophysical and astrophysical fluid dynamics. These include turbulent fluid convection and the effects of ...

Quanscient and Haiqu ran what they describe as the most physically complex quantum CFD simulation to date on real IBM quantum ...