We use the Navier-Stokes equations every day, for applications from building rockets to designing drugs. But sometimes they ...

Mathematics of Computation, Vol. 43, No. 167 (Jul., 1984), pp. 117-133 (17 pages) We consider the Navier-Stokes equations of a viscous incompressible fluid, and we want to see to what extent these ...

We establish the existence of local strong solutions to the stochastic Navier-Stokes equations in ℝ3. When the noise is multiplicative and non-degenerate, we show the existence of global solutions in ...

The Navier-Stokes equation (NSE) rules all of fluid dynamics, including, it was supposed to be, turbulence. Fluid dynamics, aerodynamics and turbulence were supposed to be together always.

Understanding the behavior of the Navier-Stokes equations has direct implications for practical applications. If solutions are always well-behaved, it means we can predict fluid motion with ...

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 ...

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

Now he believes that it should be possible to concoct special scenarios in which a solution to the Navier-Stokes equations blows up. (This wouldn’t mean that the real ocean could blow up — instead, it ...

[3] Existence and Stability of Steady Compressible Navier–Stokes Solutions on a Finite Interval with Noncharacteristic Boundary Conditions. Physica D Nonlinear Phenomena (2019).