Infinite-Dimensional Dynamical Systems (Hardcover)
Language: English
Published by Cambridge University Press, Cambridge, 2001
Series: Book 13 of 44 - Cambridge Texts in Applied Mathematics
- First Edition
- Hardcover
- New
Seller: CitiRetail, Stevenage, United KingdomCitiRetail
AbeBooks seller since June 29, 2022
Condition: New
£ 173.49
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Hardcover. This book develops the theory of global attractors for a class of parabolic PDEs that 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 systemss 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. This book treats the theory of global attractors, a recent development in the theory of partial differential equations, in a way that also includes many traditional elements of the subject. It gives an introduction to some fundamental concepts, and by the end proceeds to current research problems. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…
Seller Inventory # 9780521632041
- Title
- Infinite-Dimensional Dynamical Systems (Hardcover)
- Author
- James C. Robinson
- Publisher
- Cambridge University Press, Cambridge
- Publication year
- 2001
- Condition
- new
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0521632048
- ISBN 13
- 9780521632041
- Edition
- 1st Edition
- Series
- Book 13 of 44: Cambridge Texts in Applied Mathematics
"Synopsis" may belong to another edition of this title.
Review
'This impressive book offers an excellent, self-contained introduction to many important aspects of infinite-dimensional systems ... At the outset, the author states that his aim was to produce a didactic text suitable or first-year graduate students. Unquestionably he has achieved his goal. This book should prove invaluable to mathematicians wishing to gain some knowledge of the dynamical-systems approach to dissipative partial differential equations that has been developed during the past 20 years, and should be essential reading for any graduate student starting out on a PhD in this area.' W. Lamb, Proceedings of the Edinburgh Mathematical Society
'The book is written clearly and concisely. It is well structured, and the material is presented in a rigorous, coherent fashion. A number of example problems are treated, and each chapter is followed by a series of problems whose solutions are available on the internet. ... constitutes an excellent resource for researchers and advanced graduate students in applied mathematics, dynamical systems, nonlinear dynamics, and computational mechanics. Its acquisition by libraries is strongly recommended.' Applied Mechanics Reviews
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CitiRetail
Stevenage, United Kingdom
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