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We consider the stationary Navier-Stokes equations on the whole plane$\mathbb{R}^2$. We show that for a given small and smooth external force arounda radial flow, there exists a classical solution decaying like $|x|^{-1}$. Inour result, it is not necessary to impose any symmetric conditions on externalforces.

Existence of the stationary Navier-Stokes flow in $\mathbb{R}^2$ around a radial flow