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170324 ||| eng |
| 020 |
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|a 9780511721595
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| 050 |
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4 |
|a QA402.3
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| 100 |
1 |
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|a Glowinski, R.
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| 245 |
0 |
0 |
|a Exact and approximate controllability for distributed parameter systems
|b a numerical approach
|c Roland Glowinski, Jacques-Louis Lions, Jiwen He
|
| 246 |
3 |
1 |
|a Exact & Approximate Controllability for Distributed Parameter Systems
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| 260 |
|
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|a Cambridge
|b Cambridge University Press
|c 2008
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| 300 |
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|a xii, 458 pages
|b digital
|
| 505 |
0 |
|
|a Diffusion models -- Distributed and pointwise control for linear diffusion equations -- Boundary control -- Control of the Stokes system -- Control of nonlinear diffusion systems -- Dynamic programming for linear diffusion equations -- Wave models -- Wave equations -- On the application of controllability methods to the solution of the Helmholtz equation at large wave numbers -- Other wave and vibration problems, coupled systems -- Flow control -- Optimal control of systems modelled by the Navier-Stokes equations : application to drag reduction
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| 653 |
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|a Control theory
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| 653 |
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|a Distributed parameter systems
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| 653 |
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|a Differential equations, Partial / Numerical solutions
|
| 700 |
1 |
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|a Lions, J.-L.
|e [author]
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| 700 |
1 |
|
|a He, Jiwen
|e [author]
|
| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
|
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|b CBO
|a Cambridge Books Online
|
| 490 |
0 |
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|a Encyclopedia of mathematics and its applications
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| 028 |
5 |
0 |
|a 10.1017/CBO9780511721595
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| 856 |
4 |
0 |
|u https://doi.org/10.1017/CBO9780511721595
|x Verlag
|3 Volltext
|
| 082 |
0 |
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|a 515.642
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| 520 |
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|a 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
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