Applied Mathematical Sciences

Attractors for infinite-dimensional non-autonomous dynamical systems

Authors: Carvalho, Alexandre, Langa, José A., Robinson, James C.

  • Key Researcher
  • Obtains new results on the characterization of global attractors for processes and their perturbations
  • An up-to-date summary of the field
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About this book

The book treats the theory of attractors for non-autonomous dynamical systems. The aim of the book is to give a coherent account of the current state of the theory, using the framework of processes to impose the minimum of restrictions on the nature of the non-autonomous dependence.

The book is intended as an up-to-date summary of the field, but much of it will be accessible to beginning graduate students. Clear indications will be given as to which material is fundamental and which is more advanced, so that those new to the area can quickly obtain an overview, while those already involved can pursue the topics we cover more deeply.

About the authors

Alexandre N. Carvalho is a Professor at University of Sao Paulo, Brazil. José A. Langa is a Professor at University of Seville, Spain. James C. Robinson is a Professor at University of Warwick, UK.

Reviews

From the reviews:

“The Carvalho, Langa and Robinson monograph focuses primarily on infinite-dimensional systems and evolution equations. … The monograph is suitable for graduate students with a background on functional analysis and evolution equations. … Carvalho, Langa and Robinson present a readable and thorough account of the current state of the theory, which provides the reader with ready access to an area that has considerable potential for further development.” (Peter E. Kloeden, Mathematical Reviews, July, 2013)

“This monograph not only summarizes the research of the authors over the last decade, but also provides an accessible and well-written approach to the recent theory of non-autonomous dynamical systems in infinite dimensions with a focus on corresponding attractors and invariant manifolds. … This book is a well-written and carefully prepared text appropriate for advanced classes on dynamical systems and seminars.” (Christian Pötzsche, Zentralblatt MATH, Vol. 1263, 2013)

Table of contents (16 chapters)

  • The pullback attractor

    Carvalho, Alexandre N. (et al.)

    Pages 3-22

  • Existence results for pullback attractors

    Carvalho, Alexandre N. (et al.)

    Pages 23-53

  • Continuity of attractors

    Carvalho, Alexandre N. (et al.)

    Pages 55-70

  • Finite-dimensional attractors

    Carvalho, Alexandre N. (et al.)

    Pages 71-102

  • Gradient semigroups and their dynamical properties

    Carvalho, Alexandre N. (et al.)

    Pages 103-139

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-1-4614-4581-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-1-4614-4580-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.00
price for USA
  • ISBN 978-1-4899-9176-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Attractors for infinite-dimensional non-autonomous dynamical systems
Authors
Series Title
Applied Mathematical Sciences
Series Volume
182
Copyright
2013
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-1-4614-4581-4
DOI
10.1007/978-1-4614-4581-4
Hardcover ISBN
978-1-4614-4580-7
Softcover ISBN
978-1-4899-9176-8
Series ISSN
0066-5452
Edition Number
1
Number of Pages
XXXVI, 412
Topics