  We consider the stationary Quasi-Geostrophic equation in the whole space
$\mathbb R^2$ driven by a force $f$. Under certain smallness assumptions of
$f$, we establish the existence of solutions with finite $L^2$ norm. This
solution is unique among all solutions with finite energy. The unique solution
$\Theta$ is also shown to be stable in the sense: any solution of the
evolutionary Quasi-Geostrophic equation driven by $f$ and starting with finite
energy, will return to $\Theta$.
