Malte Braack, Piotr Boguslaw Mucha, DIRECTIONAL DO-NOTHING CONDITION FOR THE NAVIER-STOKES EQUATIONS, Journal of Computational Mathematics, Vol. 32, No. 5 (September 2014), pp. 507-521 ...

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 ...

The paper is devoted to the analysis of a hydrodynamic limit for the Vlasov-Navier-Stokes equations. This system is intended to model the evolution of particles interacting with a fluid. The coupling ...

Specific PDEs, known as the Navier-Stokes equations, model such fluid flows, taking into account the laws of conservation of energy, mass and momentum. Solve the PDE and you get a formula that ...

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.

“Solving” Navier-Stokes allows you to take a snapshot of the air’s motion (a.k.a. wind conditions) at any point in time and model how it will continue to move, or how it was moving before.