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

Vortex dynamics and the Navier–Stokes equations constitute a cornerstone of fluid dynamics, offering profound insights into the behaviour of complex flows. Vortices, with their swirling motions and ...

Computational fluid dynamics is an important tool to investigate fluid flow problems in industry and academia. This course can be taken without prior background in computational techniques. A ...

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.

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 ...

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 ...