Publisher's Synopsis
Invariant manifold theory provides a link between dynamical systems theory and turbulence phenomenon. This text develops such a theory for the Navier-Stokes equations in bounded and certain unbounded geometries. The main results include spectral theorems and analyticity theorems for semigroups and invariant manifolds.;This work should be of interest to scientists working in chaos and turbulence theory. Control theorists with intersts in stabilizing and controlling particular solutions of the Navier-Stokes equations will also find this book useful.