MARC details
| 000 -LEADER |
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| fixed length control field |
03757cam a22002897i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
135634 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
ISI Library, Kolkata |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20150413130916.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
120802s2013 nyua b 001 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781461445807 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
ISI Library |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515.39 |
| Edition number |
23 |
| Item number |
C331 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Carvalho, Alexandre N. |
| 245 10 - TITLE STATEMENT |
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| Title |
Attractors for infinite-dimensional non-autonomous dynamical systems / |
| Statement of responsibility, etc |
Alexandre N. Carvalho, Jose A. Langa and James C. Robinson. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
New York : |
| Name of publisher, distributor, etc |
Springer, |
| Date of publication, distribution, etc |
2013. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xxxvi, 409 p. : |
| Other physical details |
illustrations ; |
| Dimensions |
25 cm. |
| 490 0# - SERIES STATEMENT |
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| Series statement |
Applied mathematical sciences ; |
| Volume number/sequential designation |
v 182. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references (pages 393-403) and index. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
1. The pullback attractor -- <br/>2. Existence results for pull back attractors -- <br/>3. Continuity of attractors -- <br/>4. Finite-dimensional attractors -- <br/>5. Gradient semigroups and their dynamical properties -- <br/>6. Semilinear differential equations -- <br/>7. Exponential dichotomies -- <br/>8. Hyperbolic solutions and their stable and unstable manifolds -- <br/>9. A non-autonomous competitive Lotka-Volterra system -- <br/>10. Delay differential equations -- <br/>11. The Navier-Stokes equations with non-autonomous forcing -- <br/>12. Applications to parabolic problems -- <br/>13. A non-autonomous Chafee-Infante equation -- <br/>14. Perturbation of diffusion and continuity of global attractors with rate of convergence -- <br/>15. A non-autonomous damped wave equation -- <br/>16. Appendix: skew-product flows and the uniform attractor--<br/><br/>References--<br/>Index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
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 with basic definitions and proceeding all the way to state-of-the-art results. As such it is intended as a primer for graduate students, and a reference for more established researchers in the field. The basic topics are existence results for pullback attractors, their continuity under perturbation, techniques for showing that their fibres are finite-dimensional, and structural results for pullback attractors for small non-autonomous perturbations of gradient systems (those with a Lyapunov function). The structural results stem from a dynamical characterisation of autonomous gradient systems, which shows in particular that such systems are stable under perturbation.Application of the structural results relies on the continuity of unstable manifolds under perturbation, which in turn is based on the robustness of exponential dichotomies: a self-contained development of these topics is given in full.After providing all the necessary theory the book treats a number of model problems in detail, demonstrating the wide applicability of the definitions and techniques introduced: these include a simple Lotka-Volterra ordinary differential equation, delay differential equations, the two-dimensional Navier-Stokes equations, general reaction-diffusion problems, a non-autonomous version of the Chafee-Infante problem, a comparison of attractors in problems with perturbations to the diffusion term, and a non-autonomous damped wave equation.Alexandre N. Carvalho is a Professor at the University of Sao Paulo, Brazil. Jose A. Langa is a Profesor Titular at the University of Seville, Spain. James C. Robinson is a Professor at the University of Warwick, UK. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Attractors (Mathematics). |
| 650 12 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mathematics. |
| 650 12 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Differentiable dynamical systems. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Langa, Jose A. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Robinson, James C. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
