Name: Infinite-Dimensional Dynamical Systems Hardback: An Introduction to Dissipative Parabolic Pdes and the Theory of Global Attractors (Cambridge Texts in Applied Mathematics) (en Inglés)
Price: 802.54 PEN
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Author: Robinson, James C.
ISBN: 9780521632041

portada Infinite-Dimensional Dynamical Systems Hardback: An Introduction to Dissipative Parabolic Pdes and the Theory of Global Attractors (Cambridge Texts in Applied Mathematics) (en Inglés)

Infinite-Dimensional Dynamical Systems Hardback: An Introduction to Dissipative Parabolic Pdes and the Theory of Global Attractors (Cambridge Texts in Applied Mathematics) (en Inglés)

Formato

Libro Físico

Autor

James C. Robinson

Editorial

Cambridge University Press

Año

2001

Idioma

Inglés

N° páginas

480

Encuadernación

Tapa Dura

Dimensiones

22.9 x 15.2 x 3.0 cm

Peso

0.87 kg.

ISBN

0521632048

ISBN13

9780521632041

N° edición

Categorías

Topología
Matemáticas aplicadas

Infinite-Dimensional Dynamical Systems Hardback: An Introduction to Dissipative Parabolic Pdes and the Theory of Global Attractors (Cambridge Texts in Applied Mathematics) (en Inglés)

James C. Robinson (Autor) · Cambridge University Press · Tapa Dura

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Reseña del libro "Infinite-Dimensional Dynamical Systems Hardback: An Introduction to Dissipative Parabolic Pdes and the Theory of Global Attractors (Cambridge Texts in Applied Mathematics) (en Inglés)"

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.