In 1900, at the grand amphitheater of the Sorbonne in Paris, David Hilbert stood before a crowd of mathematicians and delivered a speech that would echo through the next century. He outlined 10 — and ...

When you buy through links on our articles, Future and its syndication partners may earn a commission. Hilbert's sixth problem was one of the loftiest. He called for "axiomatizing" physics, or ...

Finite element methods (FEM) have emerged as a pivotal class of numerical techniques for solving the Navier–Stokes equations, the mathematical foundation for modelling fluid flow. These methods ...

The flow field around a complete supersonic V/STOL configuration was computed by solving the Euler and thin-layer Navier-Stokes equations with a multizone, finite-volume, explicit Runge-Kutta ...

Wind energy is a critical part of the global energy transition, and yet there is one fundamental issue that physicists and engineers have been unable to solve. Reliability is a cornerstone of ...

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 ...