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 use to more advanced practitioners.
| ISBN: | 9780521885720 |
| Publication date: | 20th March 2008 |
| Author: | Roland Professor, University of Houston Glowinski, JacquesLouis Collège de France, Paris Lions, Jiwen University of He |
| Publisher: | Cambridge University Press |
| Format: | Hardback |
| Pagination: | 470 pages |
| Series: | Encyclopedia of Mathematics and its Applications |
| Genres: |
Calculus and mathematical analysis |