The evidence suggests that truer equations of fluid dynamics can be found in a little-known, relatively unheralded theory developed by the Dutch mathematician and physicist Diederik Korteweg in the ...

For more than 250 years, mathematicians have wondered if the Euler equations might sometimes fail to describe a fluid’s flow. Now there’s a breakthrough.

Fluid dynamics employs partial differential equations (in contrast to ordinary differential equations) and has boundary conditions (in addition to initial conditions).

Yet much remains unknown about the Euler equations — including whether they’re always an accurate model of ideal fluid flow. One of the central problems in fluid dynamics is to figure out if the ...

Fluid dynamics, a cornerstone of applied mathematics and engineering, investigates the behaviour of fluids in motion. Within this broad field, active scalar equations play a pivotal role by ...

This approach utilises stochastic differential equations to model the inherent variability in fluid flows, capturing effects such as turbulence, subgrid-scale interactions, and fluctuating forces ...

Fluid dynamics can be a fairly complex arena to design within, ... Imagine you’re a young engineer whose boss drops by one morning with a sheaf of complicated fluid dynamics equations.

Truncated conical shells are essential in industries such as aerospace and marine engineering, where understanding their dynamic behavior is crucial. Traditional research has primarily focused on ...

The fluid dynamics equations suggested that a larger cat with a larger tongue would lap less frequently to achieve the needed balance between inertia and gravity. Sure enough, ...