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 ...
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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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Very good. 2001 paperback VG+ cond. Previous owners name on front endpaper-No other markings! Clean and bound tight. Shiny cover, Booksellers since 1940!
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New. Trade paperback (US). Contains: Line drawings. Cambridge Texts in Applied Mathematics . 14 b/w illus. Intended for professional and scholarly audience.
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New. Trade paperback (US). 480 p. Cambridge Texts in Applied Mathematics . 14 Line drawings, unspecified. Intended for professional and scholarly audience.
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Seller's Description:
New. Trade paperback (US). Contains: Line drawings. Cambridge Texts in Applied Mathematics . 14 b/w illus. Intended for professional and scholarly audience.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
New. Trade paperback (US). Contains: Line drawings. Cambridge Texts in Applied Mathematics . 14 b/w illus. Intended for professional and scholarly audience.