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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Exact and Approximate Controllability for Distributed Parameter Systems
• Author: Roland GlowinskiJacques-Louis LionsJiwen He
• Language: English
• Binding: Hardback
• Number of pages: 470
• EAN: 9780521885720
• ISBN: 0521885728
• ID: 02049080
• Publisher: Cambridge University Press
• Weight: 816 g
• Dimensions: 240 × 165 × 30 mm
• Date of publishing: 20. March 2008

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