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Infinite-Dimensional Dynamical Systems

Name: Infinite-Dimensional Dynamical Systems
Brand: Cambridge University Press
SKU: 02038424
Price: 92.59 EUR
Availability: InStock
Author: James C. (University of Warwick) Robinson
ISBN: 9780521635646

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

James C. (University of Warwick) Robinson

Language

English

Book Paperback

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

Libristo code: 02038424

224 b

92.59 €

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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.