Infinite-Dimensional Dynamical Systems in Mechanics and Physics - Info and Reading Options
By Roger Temam
"Infinite-Dimensional Dynamical Systems in Mechanics and Physics" was published by Springer US in 1988 - New York, NY, it has 500 pages and the language of the book is English.
“Infinite-Dimensional Dynamical Systems in Mechanics and Physics” Metadata:
- Title: ➤ Infinite-Dimensional Dynamical Systems in Mechanics and Physics
- Author: Roger Temam
- Language: English
- Number of Pages: 500
- Publisher: Springer US
- Publish Date: 1988
- Publish Location: New York, NY
“Infinite-Dimensional Dynamical Systems in Mechanics and Physics” Subjects and Themes:
- Subjects: ➤ Mathematics - Global analysis (Mathematics) - Topological Groups - Analysis - Dynamical Systems and Complexity Statistical Physics - Lie Groups Topological Groups - Mathematical and Computational Physics Theoretical
Edition Specifications:
- Format: [electronic resource] /
- Pagination: ➤ 1 online resource (xvi, 500 pages 13 illustrations).
Edition Identifiers:
- The Open Library ID: OL27045286M - OL19857297W
- Online Computer Library Center (OCLC) ID: 851795501
- ISBN-13: 9781468403152 - 9781468403138
- ISBN-10: 146840315X - 1468403133
- All ISBNs: 146840315X - 1468403133 - 9781468403152 - 9781468403138
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"Infinite-Dimensional Dynamical Systems in Mechanics and Physics" Table Of Contents:
- 1- General Introduction. The User's Guide. General Results and Concepts on Invariant Sets and Attractors
- 2- Elements of Functional Analysis
- 3- Attractors of the Dissipative Evolution Equation of the First Order in Time: Reaction-Diffusion Equations. Fluid Mechanics and Pattern Formation Equations
- 4- Attractors of Dissipative Wave Equations
- 5- Lyapunov Exponents and Dimension of Attractors
- 6- Explicit Bounds on the Number of Degrees of Freedom and the Dimension of Attractors of Some Physical Systems
- 7- Non- Well-Posed Problems, Unstable Manifolds, Lyapunov Functions, and Lower Bounds on Dimensions
- 8- The Cone and Squeezing Properties. Inertial Monifolds
- 9- Appendix: Collective Sobolev Inequalities
- 10- Bibliography
- 11- Index.
"Infinite-Dimensional Dynamical Systems in Mechanics and Physics" Description:
The Open Library:
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.
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