Attractors for infinite-dimensional non-autonomous dynamical systems

This book treats the theory of pullback attractors for non-autonomous dynamical systems. While the emphasis is on infinite-dimensional systems, the results are also applied to a variety of finite-dimensional examples.   The purpose of the book is to provide a summary of the current theory, starting...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Carvalho, Alexandre (Autor), Langa, José A. (Autor), Robinson, James (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2013.
Edición:1st ed. 2013.
Colección:Applied Mathematical Sciences, 182
Temas:
Differential equations.
Dynamical systems.
Manifolds (Mathematics).
Differential Equations.
Dynamical Systems.
Manifolds and Cell Complexes.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • The pullback attractor
  • Existence results for pullback attractors
  • Continuity of attractors
  • Finite-dimensional attractors
  • Gradient semigroups and their dynamical properties
  • Semilinear Differential Equations
  • Exponential dichotomies
  • Hyperbolic solutions and their stable and unstable manifolds
  • A non-autonomous competitive Lotka-Volterra system
  • Delay differential equations.-The Navier-Stokes equations with non-autonomous forcing.-  Applications to parabolic problems
  • A non-autonomous Chafee-Infante equation
  • Perturbation of diffusion and continuity of attractors with rate
  • A non-autonomous damped wave equation
  • References
  • Index.-.

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