The study of free boundary problems in the Navier-Stokes equations addresses the subtle interplay between the dynamics of viscous, incompressible fluids and the evolution of interfaces whose locations ...

Fluid–structure interaction (FSI) encompasses the interdisciplinary study of fluid dynamics coupled with structural mechanics, where the mutually interactive behaviour of a viscous fluid and an ...

We present two accurate and efficient algorithms for solving a group of fluid flow problems based on the Navier-Stokes Equations (NSEs). Both methods use a time-stepping approach with the ...

Although Navier–Stokes equations are the foundation of modern hydrodynamics, adapting them to quantum systems has so far been a major challenge. Researchers from the Faculty of Physics at the ...

Several University of Texas at Austin mathematics faculty, including an incoming assistant professor, have seen their work spotlighted in the science publication Quanta in recent weeks. Distinct in 3D ...

It’s the same math that explains how, under the right conditions, the atmosphere above a barren plain can produce a roiling tornado. Merle has had enormous success taming these blowups in the ...