Infinite-Dimensional Dynamical Systems in Mechanics and Physics

By: Roger Temam

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Hardcover | 1 April 1997 | Edition Number 2

At a Glance

Hardcover
676 Pages

Edition Type
Revised

Dimensions(cm)
24.77 x 17.15 x 3.81

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Das Buch bietet Forschern und Studenten in der Physik, Mathematik und Technik eine systematische Darstellung dynamischer Systeme in unendlicher Dimension, die durch dissipative partielle Differentialgleichungen generiert werden. Die aktualisierte und erweiterte 2. Auflage enthalt zusatzliches Material zur Existenz und Dimension von Attraktoren fur grenzgesteuerte Flusse, zur Existenz von Attraktoren in Abwesenheit von Kompaktheit, zu reversiblen Wellengleichungen sowie zwei neue Kapitel uber trage Mannigfaltigkeiten und die Approximation von Attraktoren und tragen Mannigfaltigkeiten.

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Preface to the Second Edition
Preface to the First Edition
General Introduction. The User's Guide	p. 1
General Results and Concepts on Invariant Sets and Attractors	p. 15
Elements of Functional Analysis	p. 43
Attractors of the Dissipative Evolution Equation of the First Order in Time: Reaction - Diffusion Equations. Fluid Mechanics and Pattern Formation Equations	p. 82
Attractors of Dissipative Wave Equations	p. 179
Lyapunov Exponents and Dimension of Attractors	p. 335
Explicit Bounds on the Number of Degrees of Freedom and the Dimension of Attractors of Some Physical Systems	p. 380
Non-Well-Posed Problems, Unstable Manifolds, Lyapunov Functions, and Lower Bounds on Dimensions	p. 465
The Cone and Squeezing Properties. Inertial Manifolds	p. 498
Inertial Manifolds and Slow Manifolds. The Non-Self-Adjoint Case	p. 536
Approximation of Attractors and Inertial Manifolds. Convergent Families of Approximate Inertial Manifolds	p. 565
Collective Sobolev Inequalities	p. 585
Bibliography	p. 613
Index	p. 645
Table of Contents provided by Blackwell. All Rights Reserved.

Infinite-Dimensional Dynamical Systems in Mechanics and Physics

At a Glance

Hardcover

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