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 Stokes-Einstein equation is a fundamental relation in physics that describes the diffusion of spherical particles through a fluid with low Reynolds number. It relates the diffusion coefficient (D) ...

Computational fluid dynamics is a design tool that allows producers of these and other products to evaluate different models rapidly and cost-effectively. ... is given in Equation 1. The conservation ...

Elementary fluid dynamics -- the Bernoulli equation; Control volume analysis Mass conservation (mass cannot be created or destroyed ... (mass conservation) Navier-Stokes equation (momentum ...

But fluid dynamics doesn’t work this way: the nonlinearity of the Navier-Stokes equation means that you can’t build solutions by adding together simpler solutions.

For more than 250 years, mathematicians have wondered if the Euler equations might sometimes fail to describe a fluid’s flow. Now there’s a breakthrough.