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Attractors for infinite-dimensional non-autonomous dynamical systems / Alexandre N. Carvalho, José A. Langa, James C. Robinson.
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QA614.813 .C378 2013
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Author/Creator:
Carvalho, Alexandre Nolasco de.
Language:
English
Imprint:
New York : Springer, c2013.
Format:
Book
xxxvi, 409 p. : ill. ; 25 cm.
Bibliography:
Includes bibliographical references (p. 393-403) and index.
Contents:
1. The pullback attractor
2. Existence results for pull back attractors
3. Continuity of attractors
4. Finite-dimensional attractors
5. Gradient semigroups and their dynamical properties
6. Semilinear differential equations
7. Exponential dichotomies
8. Hyperbolic solutions and their stable and unstable manifolds
9. A non-autonomous competitive Lotka-Volterra system
10. Delay differential equations
11. The Navier-Stokes equations with non-autonomous forcing
12. Applications to parabolic problems
13. A non-autonomous Chafee-Infante equation
14. Perturbation of diffusion and continuity of global attractors with rate of convergence
15. A non-autonomous damped wave equation
16. Appendix: skew-product flows and the uniform attractor.
Contributor:
Langa, José A.
Robinson, James C. (James Cooper), 1969-
Series:
Applied mathematical sciences, 0066-5452 ; v.182
Applied mathematical sciences (Springer-Verlag New York Inc.) ;
v.182.
Subjects:
Attractors (Mathematics)
Mathematics.
Differentiable dynamical systems.
Differential equations, partial.
Cell aggregation -- Mathematics.
Partial Differential Equations.
Dynamical Systems and Ergodic Theory.
Manifolds and Cell Complexes (incl. Diff.Topology).
ISBN:
9781461445807
1461445809
9781461445814
1461445817
Catkey: 9755388
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