Moving Shape Analysis and Control

Presenting a mathematical analysis of problems related to the evolution of domains, this book provides various tools to handle moving domains on the levels of intrinsic definition, computation, optimization, and control. The authors address real-world engineering problems with applications to free surface flows, phase changes, fracture and contact problems, and fluid interaction problems in industrial settings. They emphasize the Eulerian approach through evolution and derivation tools for controlling fluids and systems, describe fluid control using Navier¿Stokes equations, and feature new approaches to deal with boundary control fluid¿structure interaction systems.