Infinite-Dimensional Dynamical Systems : An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors Paperback / softback
by James C. (University of Warwick) Robinson
Part of the Cambridge Texts in Applied Mathematics series
Paperback / softback
Description
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.
Information
-
Out of stock
- Format:Paperback / softback
- Pages:480 pages, 14 Line drawings, unspecified
- Publisher:Cambridge University Press
- Publication Date:16/04/2001
- Category:
- ISBN:9780521635646
Information
-
Out of stock
- Format:Paperback / softback
- Pages:480 pages, 14 Line drawings, unspecified
- Publisher:Cambridge University Press
- Publication Date:16/04/2001
- Category:
- ISBN:9780521635646
