| Description |
xvi, 500 pages : illustrations ; 25 cm |
| Series |
Applied mathematical sciences ; v. 68 |
|
Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 68
|
| Contents |
Machine derived contents note: Contents: General Introduction. The User's Guide. General Results and Concepts on Invariant Sets and Attractors.- Elements of Functional Analysis.- Attractors of the Dissipative Evolution Equation of the First Order in Time: Reaction-Diffusion Equations. Fluid Mechanics and Pattern Formation Equations.- Attractors of Dissipative Wave Equations.- Lyapunov Exponents and Dimension of Attractors.- Explicit Bounds on the Number of Degrees of Freedom and the Dimension of Attractors of Some Physical Systems.- Non- Well-Posed Problems, Unstable Manifolds, Lyapunov Functions, and Lower Bounds on Dimensions.- The Cone and Squeezing Properties. Inertial Monifolds.- Appendix: Collective Sobolev Inequalities.- Bibliography.- Index |
| Notes |
Includes index |
| Bibliography |
Bibliography: pages [475]-496 |
| Subject |
Boundary value problems.
|
|
Differentiable dynamical systems.
|
|
Nonlinear theories.
|
| LC no. |
87028522 |
| ISBN |
0387966382 |
|
3540966382 |
|
