The behaviour of systems occurring in real life is often modelled by partial differential equations. This book investigates how a user or observer can influence the behaviour of such systems mathematically and computationally. A thorough mathematical analysis of controllability problems is combined with a detailed investigation of methods used to solve them numerically, these methods being validated by the results of numerical experiments. In Part I of the book the authors discuss the mathematics and numerics relating to the controllability of systems modelled by linear and non-linear diffusion equations; Part II is dedicated to the controllability of vibrating systems, typical ones being those modelled by linear wave equations; finally, Part III covers flow control for systems governed by the Navier-Stokes equations modelling incompressible viscous flow. The book is accessible to graduate students in applied and computational mathematics, engineering and physics; it will also be of us
The volume is oriented to applications in continuum mechanics and deals with the numerical simulation of the behavior of continuous media by augmented Lagrangian and operator-splitting methods (couple
This book is dedicated to Olivier Pironneau.For more than 250 years partial differential equations have been clearly the most important tool available to mankind in order to understand a large variet
