MARC details
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| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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240328b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780521635646 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
514.74 ROB |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Robinson, James C. |
| 245 ## - TITLE STATEMENT |
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| Title |
Infinite-dimensional dynamical systems: an introduction to dissipative parabolic PDEs and the theory of global attractors |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Cambridge: |
| Name of publisher, distributor, etc |
Cambridge University Press, |
| Date of publication, distribution, etc |
2001. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xvii, 461p.: |
| Other physical details |
pbk.: |
| Dimensions |
23cm. |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE |
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| Title |
Cambridge Texts in Applied Mathematics |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes References and Index |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
This book develops the theory of global attractors for a class of parabolic PDEs which includes reaction-diffusion equations and the Navier-Stokes equations, two examples that are treated in detail. A lengthy chapter on Sobolev spaces provides the framework that allows a rigorous treatment of existence and uniqueness of solutions for both linear time-independent problems (Poisson's equation) and the nonlinear evolution equations which generate the infinite-dimensional dynamical systems of the title. Attention then switches to the global attractor, a finite-dimensional subset of the infinite-dimensional phase space which determines the asymptotic dynamics. In particular, the concluding chapters investigate in what sense the dynamics restricted to the attractor are themselves 'finite-dimensional'. The book is intended as a didactic text for first year graduates, and assumes only a basic knowledge of Banach and Hilbert spaces, and a working understanding of the Lebesgue integral.<br/><br/>Develops theory of PDEs as dynamical systems, theory of global attractors, and some consequences of that theory<br/>Only a low level of previous knowledge of functional analysis is assumed, so accessible to the widest possible mathematical audience<br/>Numerous exercises, with full solutions available on the web<br/><br/>https://www.cambridge.org/in/universitypress/subjects/mathematics/differential-and-integral-equations-dynamical-systems-and-co/infinite-dimensional-dynamical-systems-introduction-dissipative-parabolic-pdes-and-theory-global-attractors?format=PB |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Dissipative Parabolic PDEs |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Navier-Stokes Equations |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Banach and Hilbert Spaces |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Kuramoto-Sivashinsky Equation |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Laplacian |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Sobolev Spaces |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Item type |
Books |
| Source of classification or shelving scheme |
Dewey Decimal Classification |
