Infinite-Dimensional Dynamical Systems : An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors

Language: English

Published by Cambridge University Press, 2010

0521635640 / 9780521635646

Series: Book 13 of 44 - Cambridge Texts in Applied Mathematics

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - 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.

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Title
Infinite-Dimensional Dynamical Systems : An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors
Author
James C. Robinson
Publisher
Cambridge University Press
Publication year
2010
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
0521635640
ISBN 13
9780521635646
Item weight
773 grams
Dimensions
229x152x29 mm
Series
Book 13 of 44: Cambridge Texts in Applied Mathematics

AHA-BUCH GmbH

Einbeck, Germany

5-star seller

AbeBooks seller since August 14, 2006

Shipping rates from Germany to U.S.A.

Item30 to 40 business days7 to 14 business days
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