For more than 250 years, mathematicians have wondered if the Euler equations might sometimes fail to describe a fluid’s flow. A new computer-assisted proof marks a major breakthrough in that quest.

Where Quantum Meets Chaos: The Unsolved Puzzle of the Navier-Stokes Equation Updated on: 28 February,2025 04:42 PM IST | Mumbai Nishant Sahdev | [email protected] ...

For barotropic compressible Navier-Stokes equations in three-dimensional (3D) bounded domains, we prove that any finite energy weak solution obtained by Lions [18] and Feireisl-Novotný-Petzeltová [6] ...

Navier-Stokes Equations: A set of partial differential equations describing the flow of viscous fluids. Poisson Equation: An elliptic partial differential equation relating electric potential to ...

While walking through New York City’s Chinatown in 1980, Caffarelli and his colleagues Robert Kohn and Louis Nirenberg decided to look into the Navier-Stokes equations.

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 ...

The compressible Navier-Stokes-Poisson equations constitute a fundamental mathematical framework that couples the classical compressible Navier-Stokes equations with a Poisson equation governing ...

By Andy Kiersz Jan 23, 2014, 3:10 PM PT The Navier-Stokes equations describe how water flows in turbulent situations. williams_jt / Flickr ...