Exact and Approximate Controllability for Distributed Parameter Systems by Roland Glowinski
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.-
The Theory of Partitions
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The Banach-Tarski Paradox
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Special Functions
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Equivalents of the Riemann Hypothesis: Volume 1, Arithmetic Equivalents
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Non-Associative Normed Algebras
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Finite Precision Number Systems and Arithmetic
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The Classical Fields
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Handbook of Constructive Mathematics
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Aperiodic Order: Volume 2, Crystallography and Almost Periodicity
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Polynomials with Special Regard to Reducibility
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Boolean Functions
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Categorical Foundations
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Introduction to the Network Approximation Method for Materials Modeling
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Proof Complexity
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Asymptotic Analysis of Random Walks
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Contact Geometry and Nonlinear Differential Equations
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Lie's Structural Approach to PDE Systems
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Sub-Riemannian Geometry
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Combinatorics, Automata and Number Theory
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Variational Methods for Nonlocal Fractional Problems
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Ergodic Control of Diffusion Processes
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Algorithmic Aspects of Graph Connectivity
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Topics in Algorithmic Graph Theory
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Mathematics of the Bond Market
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Orthogonal Polynomials in the Spectral Analysis of Markov Processes
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Real Analysis through Modern Infinitesimals
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Introduction to Radon Transforms
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Lattice Sums Then and Now
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The Racah-Wigner Algebra in Quantum Theory
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Boolean Models and Methods in Mathematics, Computer Science, and Engineering
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Exact Constants in Approximation Theory
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An Algebraic Introduction to K-Theory
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Solving Polynomial Equation Systems IV: Volume 4, Buchberger Theory and Beyond
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Infinite Dimensional Optimization and Control Theory
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Banach Algebras and the General Theory of *-Algebras: Volume 1, Algebras and Banach Algebras
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Geometry of Sporadic Groups: Volume 2, Representations and Amalgams
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Ultrametric Pseudodifferential Equations and Applications
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Compound Renewal Processes
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General Orthogonal Polynomials
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The Theory of Information and Coding
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Convex Polytopes and Polyhedra
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Stopping Times and Directed Processes
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Nonnegative Matrices and Applications
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Random Graphs
"The book definitely has the perfume of those that Lions wrote during his prolific careerMy congratulations to his two coworkers for having completed this task that reminded incomplete when he passed away in 2001. This book definitely fills a gap in the existing in literature on control and numerics of PDS, and I am sure it will influence future research in this area." Enrique Zuazua, Mathematical Reviews
Roland Glowinski is Cullen Professor of Mathematics at the University of Houston and Emeritus Professor at Laboratoire J. L. Lions, University P. and M. Curie, Paris. He is a Member of the French National Academy of Sciences and in 2004 won the Von Karman prize from the Society for Industrial and Applied Mathematics. He has written over 300 research papers and this is his 3rd book. The late Jacques-Louis Lions was a Professor at College de France, Paris. During his distinguished career he was elected an honorary member of over twenty learned societies and academies world-wide and received honorary degrees from nineteen universities. He was awarded a large number of international prizes, including the SIAM T and Idalia Reid Prize in Mathematics, the Prize of Japan and the John Von Neumann Prize. By the time of his death in 2001, he had authored over 20 books. Jiwen He is Associate Professor of Mathematics at the University of Houston. His research interests are numerical analysis, computational fluid dynamics, and control theory.
| SKU | Unavailable |
| ISBN 13 | 9780521885720 |
| ISBN 10 | 0521885728 |
| Title | Exact and Approximate Controllability for Distributed Parameter Systems |
| Author | Roland Glowinski |
| Series | Encyclopedia Of Mathematics And Its Applications |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Cambridge University Press |
| Year published | 2008-03-20 |
| Number of pages | 470 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |