The Navier-Stokes equations represent a cornerstone of fluid dynamics, providing a mathematical framework to describe the motion of viscous fluids. These nonlinear partial differential equations ...
The axisymmetric Navier-Stokes equations describe the motion of incompressible fluids under the assumption of rotational symmetry around a fixed axis. This reduction in dimensional complexity retains ...
A $1 million prize awaits anyone who can show where the math of fluid flow breaks down. With specially trained AI systems, ...
Erica Grace Cabanilla, my ERDT administrator, who took charge of all my stipends, reminded me gently that I am supposed to give my exit report on Jan. 26 as Visiting Researcher, although my ...
The Rocky Mountain Journal of Mathematics, Vol. 49, No. 5 (2019), pp. 1595-1615 (21 pages) W. Aggoune, H. Zahrouni and M. Potier-Ferry, High-order prediction ...
The Navier-Stokes equations capture in a few succinct terms one of the most ubiquitous features of the physical world: the flow of fluids. The equations, which date to the 1820s, are today used to ...
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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 ...
The following is an extract from our Lost in Space-Time newsletter. Each month, we hand over the keyboard to a physicist or mathematician to tell you about fascinating ideas from their corner of the ...
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 ...
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