Infinite Dimensional Dynamical Systems in Mechanics and Physics This book is the first attempt for a systematic study of infinite dimensional dynamical systems generated by dissipative evolution partial differential equations arising in mechanics and physics along with other areas of science and technology. A synthetic view of the relation between infinite and finite dimensional systems is presented. Equations considered include reaction diffusion Navier Stokes and other fluid mechanics equations magnetohydrodynamics thermohydraulics pattern formation Ginzburg Landau and damped wave. The last chapter of the book introduces inertial manifolds a subject of rapid development