chapter 1 Introduction -- chapter 2 An introductory example : the inverse Stefan problem -- chapter 3 Weak evolution of sets and tube derivatives -- chapter 4 Shape differential equation and level set formulation -- chapter 5 Dynamical shape control of the Navier-Stokes equations -- chapter 6 Tube derivative in a Lagrangian setting -- chapter 7 Sensitivity analysis for a simple fluid-solid interaction system -- chapter 8 Sensitivity analysis for a general fluid-structure interaction system.