An edition of Infinite-Dimensional Dynamical Systems in Mechanics and Physics (1988)

Infinite-Dimensional Dynamical Systems in Mechanics and Physics

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Cover of: Infinite-Dimensional Dynamical Systems in Mechanics and Physics by Roger Temam, Roger Temam
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Last edited by MARC Bot
September 28, 2024 | History
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An edition of Infinite-Dimensional Dynamical Systems in Mechanics and Physics (1988)

Infinite-Dimensional Dynamical Systems in Mechanics and Physics

by

This book is the first attempt for a systematic study of infinite dimensional dynamical systems generated by dissipative evolution partial differential equations arising in mechanics and physics, along with other areas of science and technology. A synthetic view of the relation between infinite and finite dimensional systems is presented. Equations considered include reaction-diffusion, Navier-Stokes and other fluid mechanics equations, magnetohydrodynamics, thermohydraulics, pattern formation, Ginzburg-Landau and damped wave. The last chapter of the book introduces inertial manifolds, a subject of rapid development.

Publish Date
Publisher
Springer US
Language
English
Pages
500

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Previews available in: English

Subjects

Mathematics, Global analysis (Mathematics), Topological Groups, Analysis, Dynamical Systems and Complexity Statistical Physics, Lie Groups Topological Groups, Mathematical and Computational Physics Theoretical

Showing 4 featured editions. View all 4 editions?

Edition Availability
Cover of: Infinite-Dimensional Dynamical Systems in Mechanics and Physics
Infinite-Dimensional Dynamical Systems in Mechanics and Physics
2013, Springer New York
in English
Libraries near you: WorldCat
Cover of: Infinite-Dimensional Dynamical Systems in Mechanics and Physics
Infinite-Dimensional Dynamical Systems in Mechanics and Physics
2013, Springer London, Limited
in English
Libraries near you: WorldCat
Cover of: Infinite-Dimensional Dynamical Systems in Mechanics and Physics
Infinite-Dimensional Dynamical Systems in Mechanics and Physics
1993, Island Press
in English
Libraries near you: WorldCat
Cover of: Infinite-Dimensional Dynamical Systems in Mechanics and Physics
Infinite-Dimensional Dynamical Systems in Mechanics and Physics
1988, Springer US
electronic resource / in English
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Libraries near you: WorldCat

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Book Details

Table of Contents

General Introduction. The User's Guide. 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 Dimension 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 Monifolds
Appendix: Collective Sobolev Inequalities
Bibliography
Index.

Edition Notes

Online full text is restricted to subscribers.

Also available in print.

Mode of access: World Wide Web.

Published in
New York, NY
Series
Applied Mathematical Sciences -- 68, Applied mathematical sciences (Springer-Verlag New York Inc.) -- 68.

Classifications

Dewey Decimal Class
515
Library of Congress
QA299.6-433, QA1-939

The Physical Object

Format
[electronic resource] /
Pagination
1 online resource (xvi, 500 pages 13 illustrations).
Number of pages
500

ID Numbers

Open Library
OL27045286M
Internet Archive
infinitedimensio00tema_952
ISBN 10
146840315X, 1468403133
ISBN 13
9781468403152, 9781468403138
OCLC/WorldCat
851795501

Source records

Internet Archive item record
Better World Books record
harvard_bibliographic_metadata record

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Download catalog record: RDF / JSON / OPDS | Wikipedia citation
September 28, 2024 Edited by MARC Bot import existing book
October 5, 2021 Edited by ImportBot import existing book
July 1, 2019 Created by MARC Bot Imported from Internet Archive item record