Infinite-Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic Pdes and the Theory of Global Attractors

by James C. Robinson

Book Overview

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...

• Format: Paperback
• Language: English
• ISBN: 0521635640
• ISBN13: 9780521635646
• Release Date: August 2010
• Publisher: Cambridge University Press
• Length: 480 Pages
• Weight: 1.45 lbs.
• Dimensions: 1.0" x 6.1" x 8.9"