EXISTENCE RESULTS FOR A NONLINEAR PROBLEM MODELING THE DISPLACEMENT OF A SOLID IN A TRANSVERSE FLOW

In this paper, we study a simplified mathematical model that describes the stationary displacements of a solid body immersed in a transverse flow. This model involves the Laplace equation with a non-homogeneous Neumann boundary condition in a domain whose geometry depends on the displacement of the solid under the action of the fluid. The solution of the equation and the displacement are related by a nonlinear condit ion. The nonlinear character of the model is also present in the depen dence of the domain on the solution. We give here an existence result for this case and for a more general situation.