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Sinopse
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.
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Especificações
| ISBN | 9780521635646 |
|---|---|
| Peso | 536g |
| Livro disponível - pronta entrega | Não |
| Tipo item | Livro Importado |
| Número de páginas | 480 |
| Número da edição | 1ª EDICAO - 2001 |
| Código Interno | 40379 |
| Código de barras | 9780521635646 |
| Acabamento | PAPERBACK |
| Autor | ROBINSON, JAMES C. |
| Editora | CAMBRIDGE UNIVERSITY PRESS |
| Sob encomenda | Sim |
