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Infinite-Dimensional Dynamical Systems

An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors

Language EnglishEnglish
Book Paperback
Book Infinite-Dimensional Dynamical Systems James C. (University of Warwick) Robinson
Libristo code: 02038424
Publishers Cambridge University Press, April 2001
This book develops the theory of global attractors for a class of parabolic PDEs which includes reac... Full description
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This book develops the theory of global attractors for a class of parabolic PDEs which includes reaction-diffusion equations and the Navier-Stokes equations, two examples that are treated in detail. A lengthy chapter on Sobolev spaces provides the framework that allows a rigorous treatment of existence and uniqueness of solutions for both linear time-independent problems (Poisson's equation) and the nonlinear evolution equations which generate the infinite-dimensional dynamical systems of the title. Attention then switches to the global attractor, a finite-dimensional subset of the infinite-dimensional phase space which determines the asymptotic dynamics. In particular, the concluding chapters investigate in what sense the dynamics restricted to the attractor are themselves 'finite-dimensional'. The book is intended as a didactic text for first year graduates, and assumes only a basic knowledge of Banach and Hilbert spaces, and a working understanding of the Lebesgue integral.

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About the book

Full name Infinite-Dimensional Dynamical Systems
Language English
Binding Book - Paperback
Date of issue 2001
Number of pages 480
EAN 9780521635646
ISBN 0521635640
Libristo code 02038424
Weight 718
Dimensions 231 x 155 x 35
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