Existence for a two-dimensional, unsteady fluid-structure interaction problem

We study the well-posedness of a steady state problem: we consider a two-dimensional viscous incompressible flow which is modeled by the Navier-Stokes equations. The structure is a rigid moving disc. The fluid domain depends on time and is defined by the Position of the structure, itself resulting from a stress distribution coming from the fluid The problem is then nonlinear and the equations rye deal with are coupled. We prove its local solvability in time though two fixed point procedures. (C) Academie des Sciences/Elsevier, Paris.