Gifted centers on the Navier-Stokes problem, prompting many viewers of the 2017 drama to wonder what the unsolved math problem is â and whether real-life mathematicians have since solved it.

To account for this, the Navier-Stokes equations describe a fluid using “velocity fields” that specify a speed and direction for each point in 3D space. The equations describe how a starting velocity ...

We prove existence on infinite time intervals of regular solutions to the 3D Rotating Navier-Stokes Equations for strong rotation (large Coriolis parameter Ω). This uniform existence is proven for ...

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 ...

This is a preview. Log in through your library . Abstract In this paper, a full discrete local projection stabilized (LPS) method is proposed to solve the optimal control problems of the unsteady ...

Gluing together their long-timescale breakthrough with previous work on deriving the Euler and Navier-Stokes equations from the Boltzmann equation unifies three theories of fluid dynamics.