Small scale dynamics in incompressible fluid flows

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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.