Abstract: Nonlinear feedback design via state-dependent Riccati equations is well established but unfeasible for large-scale systems because of computational costs. If the system can be embedded in ...

For decades, scientists have tried and failed to explain how the force that binds the heart of atoms together really works.

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 ...

After the work of Navier, the Navier-Stokes equation was re-obtained by different arguments by numerous investigators. We have chosen to revisit the approaches of Navier not only because they were ...

Nearly 200 years ago, the physicists Claude-Louis Navier and George Gabriel Stokes put the finishing touches on a set of equations that describe how fluids swirl. And for nearly 200 years, the ...

Abstract: Classical methods, including formation control, cooperative trajectory planning, and control-based methods, have been proposed to solve the passing-through control problem of robotic swarms ...

Turbulent times This visualization of fluid flow was made using laser-induced fluorescence. (Courtesy: C Fukushima and J Westerweel/Technical University of Delft/CC BY 3.0) The Navier–Stokes partial ...

It would be ncie to show some HPC/computational applications using WoT. We wish to show the time evolution of fluid flow using Navier-Stokes equation. There are multiple examples that could be made, ...

At the turn of the 20th century, the renowned mathematician David Hilbert had a grand ambition to bring a more rigorous, mathematical way of thinking into the world of physics. At the time, physicists ...

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 ...