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Exact and Approximate Controllability for Distributed Parameter Systems Roland Glowinski

Exact and Approximate Controllability for Distributed Parameter Systems

Roland Glowinski

Published May 10th 2014
ISBN : 9781306148696
ebook
472 pages
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 About the Book 

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.