Selection of quasi-stationary states in the Navier-Stokes equation on the torus

Margaret Beck, Eric Cooper, Konstantinos Spiliopoulos

The two dimensional incompressible Navier-Stokes equation on $D_{\delta }:=[0,2\pi \delta ]\times [0,2\pi ]$ with $\delta \approx 1$, periodic boundary conditions, and viscosity $0<\nu \ll 1$ is consider…