INFINITE-DIMENSIONAL DYNAMICAL SYSTEMS by Robinson, J ISBN 0521635640
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[edit] INFINITE-DIMENSIONAL DYNAMICAL SYSTEMS
This book treats the theory of global attractors, a recent development in the theory of partial differential equations.
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-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.
[edit] Book Details
[edit] Title
INFINITE-DIMENSIONAL DYNAMICAL SYSTEMS
[edit] Author
Robinson, J
[edit] ISBN
0521635640
[edit] Published
16/04/2001
[edit] Publisher
Cambridge University Press
[edit] Binding
paperback
[edit] Retail Price
30 (GBP)
[edit] Typical Price Online
30 (GBP)
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