Infinite-Dimensional Dynamical Systems i
β Roger Temam (auth.)
π Library
π
1988
π Springer US
π English
β¦ LIBER β¦
π
Infinite-Dimensional Dynamical Systems in Mechanics and Physics
β Scribed by Roger Temam (auth.)
- Publisher
- Springer-Verlag New York
- Year
- 1997
- Tongue
- English
- Leaves
- 670
- Series
- Applied Mathematical Sciences 68
- Edition
- 2
- Category
- Library
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No coin nor oath required. For personal study only.
β¦ Synopsis
In this book the author presents the dynamical systems in infinite dimension, especially those generated by dissipative partial differential equations. This book attempts a systematic study of infinite dimensional dynamical systems generated by dissipative evolution partial differential equations arising in mechanics and physics and in other areas of sciences and technology. This second edition has been updated and extended.
β¦ Table of Contents
Front Matter....Pages i-xxi
General Introduction. The Userβs Guide....Pages 1-14
General Results and Concepts on Invariant Sets and Attractors....Pages 15-42
Elements of Functional Analysis....Pages 43-81
Attractors of the Dissipative Evolution Equation of the First Order in Time: ReactionβDiffusion Equations. Fluid Mechanics and Pattern Formation Equations....Pages 82-178
Attractors of Dissipative Wave Equations....Pages 179-334
Lyapunov Exponents and Dimension of Attractors....Pages 335-379
Explicit Bounds on the Number of Degrees of Freedom and the Dimension of Attractors of Some Physical Systems....Pages 380-464
Non-Well-Posed Problems, Unstable Manifolds, Lyapunov Functions, and Lower Bounds on Dimensions....Pages 465-497
The Cone and Squeezing Properties. Inertial Manifolds....Pages 498-535
Inertial Manifolds and Slow Manifolds. The Non-self-adjoint Case....Pages 536-564
Approximation of Attractors and Inertial Manifolds. Convergent Families of Approximate Inertial Manifolds....Pages 565-584
Back Matter....Pages 585-650
β¦ Subjects
Topological Groups, Lie Groups; Analysis; Statistical Physics, Dynamical Systems and Complexity
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