1st Edition
Moving Shape Analysis and Control Applications to Fluid Structure Interactions
312 Pages
by
Chapman & Hall
312 Pages
by
Chapman & Hall
312 Pages
by
Chapman & Hall
Also available as eBook on:
Problems involving the evolution of two- and three-dimensional domains arise in many areas of science and engineering. Emphasizing an Eulerian approach, Moving Shape Analysis and Control: Applications to Fluid Structure Interactions presents valuable tools for the mathematical analysis of evolving domains. The book illustrates the efficiency of the tools presented through different examples... Read more
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.
Biography
Moubachir, Marwan; Zolesio, Jean-Paul
