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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 12: Lower Bound for the Exponential Rate of Convergence to the Attractor
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