Moving Shape Analysis and Control

Moubachir, Marwan; Zolesio, Jean-Paul

• Introduction. An Introductory Example: The Inverse Stefan Problem. Weak Evolution of Sets and Tube Derivatives. Shape Differential Equation and Level Set Formulation. Dynamical Shape Control of the Navier-Stokes Equations. Tube Derivative in a Lagrangian Setting. Sensitivity Analysis for a Simple Fluid-Solid Interaction System. Sensitivity Analysis for a General Fluid-Structure Interaction System. Appendix A: Functional Spaces and Regularity of Domains. Appendix B: Distribution Spaces. Appendix C: The Fourier Transform. Appendix D: Sobolev Spaces. References. Index.