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 ...

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 ...

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 ...

While order often devolves to chaos, sometimes the reverse is true. Turbulent fluid, for example, has a tendency to spontaneously form a tidy pattern: parallel stripes. Though physicists had observed ...

This program is no longer accepting applications. The College of Engineering (COE) offers a variety of graduate certificates to meet your needs. Online Education for Working Professionals Simulate the ...

A team of researchers affiliated with UNIST has made a significant breakthrough by mathematically proving that a special type of vortex pair, called the Sadovskii vortex patch, can exist within ideal ...

Mathematicians have suspected for years that under specific circumstances, the Euler equations fail. But they've been unable to identify an exact scenario in which this failure occurs. Until now. The ...