Free shipping on all orders over $79* Limited Time Only
Track My Order
Help Centre
Likes
My Wish ListsLogin / Join
Booktopia
Australia's local bookstore
Get Free Shipping on orders over $79
Infinite-Dimensional Dynamical Systems : An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors - No Information Available

Infinite-Dimensional Dynamical Systems

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

By: No Information Available

Paperback | 28 August 2001

At a Glance

Paperback

RRP $131.95

$119.75

or 4 interest-free payments of $29.94 with

 or 

Ships in 5 to 7 business days

This book develops the theory of global attractors for a class of parabolic PDEs that 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 systemss 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.
Industry Reviews
'... will certainly benefit young researchers entering the described field.' Jan Cholewa, Zentralblatt MATH 'This impressive book offers an excellent, self-contained introduction to many important aspects of infinite-dimensional systems ... At the outset, the author states that his aim was to produce a didactic text suitable or first-year graduate students. Unquestionably he has achieved his goal. This book should prove invaluable to mathematicians wishing to gain some knowledge of the dynamical-systems approach to dissipative partial differential equations that has been developed during the past 20 years, and should be essential reading for any graduate student starting out on a PhD in this area.' W. Lamb, Proceedings of the Edinburgh Mathematical Society 'The book is written clearly and concisely. It is well structured, and the material is presented in a rigorous, coherent fashion. A number of example problems are treated, and each chapter is followed by a series of problems whose solutions are available on the internet. ... constitutes an excellent resource for researchers and advanced graduate students in applied mathematics, dynamical systems, nonlinear dynamics, and computational mechanics. Its acquisition by libraries is strongly recommended.' Applied Mechanics Reviews

You Can Find This Book In

Non-FictionMathematicsCalculus & Mathematical AnalysisDifferential Calculus & EquationsApplied MathematicsTopologyFunctional Analysis & Transforms

Other Editions and Formats

Hardcover

Published: 20th August 2001

View Product

More in Applied Mathematics

The Maths Book : Big Ideas Simply Explained - DK

The Maths Book

Big Ideas Simply Explained

Hardcover

RRP $42.99

$32.75

24%
OFF
Speed : How it Explains the World - Vaclav Smil

Speed

How it Explains the World

Paperback

RRP $36.99

$29.75

20%
OFF
Basic Engineering Mathematics - Adrian Day

Basic Engineering Mathematics

Hardcover

$438.99

Love Triangle : The Life-changing Magic of Trigonometry - Matt Parker

Love Triangle

The Life-changing Magic of Trigonometry

Paperback

RRP $36.99

$28.75

22%
OFF
Making Sense of Chaos : A Better Economics for a Better World - J. Doyne Farmer

Making Sense of Chaos

A Better Economics for a Better World

Paperback

RRP $26.99

$22.99

15%
OFF
Bird's Engineering Mathematics : 9th Edition - John Bird

Bird's Engineering Mathematics

9th Edition

Paperback

RRP $103.00

$79.75

23%
OFF
Size : How It Explains the World - Vaclav Smil

Size

How It Explains the World

Paperback

RRP $35.00

$28.75

18%
OFF
Fundamentals of Combustion Engineering - Achintya Mukhopadhyay

Fundamentals of Combustion Engineering

Paperback

RRP $90.99

$71.75

21%
OFF
Introduction to Stochastic Processes : 2nd Edition - Gregory F. Lawler

Introduction to Stochastic Processes

2nd Edition

Hardcover

RRP $210.00

$150.75

28%
OFF

This product is categorised by