2. 2D stationary Navier-Stokes with viscosity-independent forcing
Consider the 2D stationary Navier-Stokes equations on $\mathbb{T}^2$ with forcing $f$ and viscosity $\nu>0$. Find a fixed ($\nu$-independent) $f$ such that $\sup\|u^\nu\|_{L^2}<\infty$. This is a problem suggested by Peter Constantin.Cite this as: AimPL: Small scale dynamics in incompressible fluid flows, available at http://aimpl.org/smallscalefluid.