Infinite-Dimensional Dynamical Systems in Mechanics and Physics
Author:   Roger Temam
Publisher:   Springer-Verlag New York Inc.
Edition:   Second Edition 1997
Volume:   68
ISBN:  

9780387948669


Pages:   650
Publication Date:   01 April 1997
Format:   Hardback
Availability:   In Print   Availability explained
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Infinite-Dimensional Dynamical Systems in Mechanics and Physics


Overview

In this book the author presents the dynamical systems in infinite dimension, especially those generated by dissipative partial differential equations. This book attempts a systematic study of infinite dimensional dynamical systems generated by dissipative evolution partial differential equations arising in mechanics and physics and in other areas of sciences and technology. This second edition has been updated and extended.

Full Product Details

Author:   Roger Temam
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Second Edition 1997
Volume:   68
Dimensions:   Width: 15.60cm , Height: 3.60cm , Length: 23.40cm
Weight:   2.470kg
ISBN:  

9780387948669


ISBN 10:   038794866
Pages:   650
Publication Date:   01 April 1997
Audience:   College/higher education ,  Professional and scholarly ,  General/trade ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Contents: General results and concepts on invariant sets and attractors.- Elements of functional analysis.- Attractors of the dissipative evolution equation of the first order in time: reaction-diffusion equations.- Fluid mechanics and pattern formation equations.- Attractors of dissipative wave equations.- Lyapunov exponents and dimensions of attractors.- Explicit bounds on the number of degrees of freedom and the dimension of attractors of some physical systems.- Non-well-posed problems, unstable manifolds. lyapunov functions, and lower bounds on dimensions.- The cone and squeezing properties.- Inertial manifolds.- New chapters: Inertial manifolds and slow manifolds the nonselfadjoint case.

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