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Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations

Overview of attention for book
Cover of 'Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Presentation of the Approach and of the Main Results
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    Chapter 3 The Transport of Finite-Dimensional Contact Elements
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    Chapter 4 Spectral Blocking Property
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    Chapter 5 Strong Squeezing Property
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    Chapter 6 Cone Invariance Properties
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    Chapter 7 Consequences Regarding the Global Attractor
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    Chapter 8 Local Exponential Decay Toward Blocked Integral Surfaces
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    Chapter 9 Exponential Decay of Volume Elements and the Dimension of the Global Attractor
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    Chapter 10 Choice of the Initial Manifold
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    Chapter 11 Construction of the Inertial Manifold
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    Chapter 12 Lower Bound for the Exponential Rate of Convergence to the Attractor
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    Chapter 13 Asymptotic Completeness: Preparation
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    Chapter 14 Asymptotic Completeness: Proof of Theorem 12.1
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    Chapter 15 Stability with Respect to Perturbations
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    Chapter 16 Application: The Kuramoto—Sivashinsky Equation
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    Chapter 17 Application: A Nonlocal Burgers Equation
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    Chapter 18 Application: The Cahn—Hilliard Equation
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    Chapter 19 Application: A Parabolic Equation in Two Space Variables
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    Chapter 20 Application: The Chaffee—Infante Reaction—Diffusion Equation
Attention for Chapter 11: Construction of the Inertial Manifold
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Chapter title
Construction of the Inertial Manifold
Chapter number 11
Book title
Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations
Published by
Springer, New York, NY, January 1989
DOI 10.1007/978-1-4612-3506-4_11
Book ISBNs
978-1-4612-8131-3, 978-1-4612-3506-4
Authors

P. Constantin, C. Foias, B. Nicolaenko, R. Teman, Constantin, P., Foias, C., Nicolaenko, B., Teman, R.

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