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Infinite-Dimensional Dynamical Systems in Mechanics and Physics

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Author(s): Roger Temam (auth.)
Series: Applied Mathematical Sciences 68
Edition: 2nd
Publisher: Springer US
Year: 1988

Language: English
Pages: 673
Tags: Analysis;Theoretical, Mathematical and Computational Physics

Front Matter....Pages i-xvi
General Introduction. The User’s Guide....Pages 1-14
General Results and Concepts on Invariant Sets and Attractors....Pages 15-40
Elements of Functional Analysis....Pages 41-79
Attractors of the Dissipative Evolution Equation of the First Order in Time: Reaction—Diffusion Equations. Fluid Mechanics and Pattern Formation Equations....Pages 80-174
Attractors of Dissipative Wave Equations....Pages 175-248
Lyapunov Exponents and Dimension of Attractors....Pages 249-291
Explicit Bounds on the Number of Degrees of Freedom and the Dimension of Attractors of Some Physical Systems....Pages 292-374
Non-Well-Posed Problems, Unstable Manifolds, Lyapunov Functions, and Lower Bounds on Dimensions....Pages 375-407
The Cone and Squeezing Properties. Inertial Manifolds....Pages 408-445
Back Matter....Pages 446-501