Infinite-Dimensional Dynamical Systems by James C. Robinson
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Infinite-Dimensional Dynamical Systems
By James C. Robinson

Infinite-Dimensional Dynamical Systems

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

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Format: Hardback

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Infinite-Dimensional Dynamical Systems by James C. Robinson

Book Description

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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Book Details

ISBN: 9780521632041
ISBN-10: 0521632048
Format: Hardback
(228mm x 152mm x 30mm)
Pages: 480
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 23-Apr-2001
Country of Publication: United Kingdom

Other Editions...


Books By Author James C. Robinson

Three-Dimensional Navier-Stokes Equations by James C. Robinson Three-Dimensional Navier-Stokes Equations, Hardback (September 2016)

An accessible treatment of the main results in the mathematical theory of the Navier-Stokes equations, primarily aimed at graduate students.

Recent Progress in the Theory of the Euler and Navier-Stokes Equations by James C. Robinson Recent Progress in the Theory of the Euler and Navier-Stokes Equations, Paperback (January 2016)

An accessible summary of a wide range of active research topics written by leaders in their field, including exciting new results.

Purchasing Medical Innovation by James C. Robinson Purchasing Medical Innovation, Hardback (April 2015)

Analyzing the contemporary revolution in the purchasing of health care technology, this book focuses on the roles of the Food and Drug Administration (FDA), Medicare and private health insurers, physicians and hospitals, and consumers themselves.

Mathematical Aspects of Fluid Mechanics by James C. Robinson Mathematical Aspects of Fluid Mechanics, Paperback (October 2012)

A selection of surveys and original research papers in mathematical fluid mechanics arising from a 2010 workshop held in Warwick.

» View all books by James C. Robinson

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