Infinite-Dimensional Dynamical Systems

Name: Infinite-Dimensional Dynamical Systems
Brand: Cambridge University Press
SKU: 9780521632041
Price: 1021.98 RON
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An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors

Autor: James C. Robinson

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Editura: Cambridge University Press

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This book develops the theory of global attractors for a class of parabolic PDEs which includes reac...

Informații despre carte

Autor

James C. Robinson

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2001

Pagini

480

EAN

9780521632041

ISBN

0521632048

Enbook ID

02038295

Editura

Cambridge University Press

Greutate

860

Dimensiuni

237 x 161 x 31

Descriere completă

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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Infinite-Dimensional Dynamical Systems

An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors

Informații despre carte

Descriere completă

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