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

Infinite-Dimensional Dynamical Systems in Mechanics and Physics

by Roger Temam

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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

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

1988

Publisher

Springer US

Language

English

Pages

500

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Previews available in: English

Showing 4 featured editions. View all 4 editions?

Edition	Availability
1 Infinite-Dimensional Dynamical Systems in Mechanics and Physics 2013, Springer London, Limited in English 1461206456 9781461206453	zzzz Not in Library Libraries near you: WorldCat
2 Infinite-Dimensional Dynamical Systems in Mechanics and Physics 2013, Springer New York in English 1461268532 9781461268536	zzzz Not in Library Libraries near you: WorldCat
3 Infinite-Dimensional Dynamical Systems in Mechanics and Physics 1993, Island Press in English 1468403141 9781468403145	zzzz Not in Library Libraries near you: WorldCat
4 Infinite-Dimensional Dynamical Systems in Mechanics and Physics 1988, Springer US electronic resource / in English 146840315X 9781468403152	aaaa Not in Library Libraries near you: WorldCat

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Book Details

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

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Internet Archive item record
Better World Books record
harvard_bibliographic_metadata record

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Created July 1, 2019
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Infinite-Dimensional Dynamical Systems in Mechanics and Physics

by Roger Temam