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We consider the problem of a small body moving within an incompressible fl‡uid at constant speed parallel to a wall, in an otherwise unbounded domain. This situation is modeled by the incompressible stationary Navier-Stokes equations in an exterior domain in a half space, with appropriate boundary conditions on the wall, the body, and at in…finity. In this talk, we will show the existence of weak solutions, especially the decay property of solutions will also be investigated.