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.
Produkteigenschaften
- Artikelnummer: 9780521885720
- Medium: Buch
- ISBN: 978-0-521-88572-0
- Verlag: Cambridge University Press
- Erscheinungstermin: 20.03.2008
- Sprache(n): Englisch
- Auflage: Erscheinungsjahr 2008
- Serie: Encyclopedia of Mathematics and its Applications
- Produktform: Gebunden
- Gewicht: 955 g
- Seiten: 470
- Format (B x H x T): 161 x 240 x 32 mm
- Ausgabetyp: Kein, Unbekannt