ABSTRACT
This chapter deals with the analysis of an inverse boundary problem arising in the study of bridge deck aeroelastic stability. The aeroelastic system consists of an elastically supported rigid solid moving inside an incompressible fluid flow in 2-D. As described in the introduction of this lecture note, the keystone of the sensitivity analysis of coupled fluid-structure model is based on the moving shape analysis introduced in the previous chapters. The chapter is organized in four parts :
• In section 7.2, we introduce the notations and the mechanical system we shall deal with and we state the main result of this chapter, namely the structure of a cost functional gradient with respect to inflow boundary conditions pertubations. The proof is given in the remaining part of the chapter.
