Exact and Approximate Controllability for Distributed Parameter Systems: A Numerical Approach

di Roland Glowinski (Autore)

Jacques-Louis Lions (Autore)

Jiwen He (Autore)

Cambridge University Press, 2008

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.

• Autore: Roland Glowinski, Jacques-Louis Lions, Jiwen He
• Editore: Cambridge University Press
• Collana: Encyclopedia of Mathematics and its Applications
• Anno: 2008
• Rilegatura: Hardback
• Pagine: 470 p.
• Dimensioni: 240 x 165 mm
• Peso: 816 gr.
• EAN: 9780521885720

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