The Navier–Stokes equations serve as the cornerstone for understanding fluid dynamics, describing the motion of viscous fluids with remarkable precision. These equations encapsulate the balance of ...
La résolution de l'équation de Navier-Stokes est extrêmement difficile. Elle reste l'une des grandes énigmes mathématiques non résolues à ce jour. Elle fait partie des Problèmes du prix du millénaire.
As we celebrate the International Year of Quantum Science and Technology (IYQ) in 2025, we look back on a century of quantum mechanics—a field that has fundamentally changed the way we understand ...
Rose Yu has a plan for how to make AI better, faster and smarter — and it’s already yielding results. In math and computer science, researchers have long understood that some questions are ...
In a 2001 paper, S. Montgomery-Smith provides a one-dimensional model for the three-dimensional, incompressible Navier-Stokes equations, for which he proves the blow-up of solutions associated with a ...
Two mathematicians prove that under certain extreme conditions, the Navier-Stokes equations output nonsense. The Navier-Stokes equations capture in a few succinct terms one of the most ubiquitous ...
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 ...
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