| Description |
1 online resource (xii, 458 pages) : illustrations |
| Series |
Encyclopedia of mathematics and its applications ; 117 |
|
Encyclopedia of mathematics and its applications ; v. 117.
|
| Contents |
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 |
| Summary |
"The behavior of systems occurring in real life is often modeled by partial differential equations. This book investigates how a user or observer can influence the behavior 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 modeled by linear and non-linear diffusion equations; Part II is dedicated to the controllability of vibrating systems, typical ones being those modeled by linear wave equations; finally, Part III covers flow control for systems governed by the Navier-Stokes equations modeling 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."--Jacket |
| Bibliography |
Includes bibliographical references (pages 430-449) and indexes |
| Notes |
Print version record |
| Subject |
Control theory.
|
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Distributed parameter systems.
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Differential equations, Partial -- Numerical solutions.
|
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MATHEMATICS -- Calculus.
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MATHEMATICS -- Mathematical Analysis.
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Control theory
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Differential equations, Partial -- Numerical solutions
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Distributed parameter systems
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Kontrolltheorie
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System mit verteilten Parametern
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| Form |
Electronic book
|
| Author |
Lions, J.-L. (Jacques-Louis), 1928-2001.
|
|
He, Jiwen
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| ISBN |
9781107089785 |
|
1107089786 |
|
0511721595 |
|
9780511721595 |
|
9781107096073 |
|
1107096073 |
|
