On the asymptotic behaviour of solutions of the stationary Navier-Stokes equations in dimension 3

In this paper, we address the problem of determining the asymptotic behaviour of the solutions of the incompressible stationary Navier-Stokes system in the full space, with a forcing term whose asymptotic behaviour at infinity is homogeneous of degree −3. We identify the asymptotic behaviour at infinity of the solution. We prove that it is homogeneous and that the leading term in the expansion at infinity uniquely solves the homogeneous Navier-Stokes equations with a forcing term which involves an additional Dirac mass. This also applies to the case of an exterior domain.