ABSTRACT

This book introduces the class of dynamical systems called semiflows, which includes systems defined or modeled by certain types of differential evolution equations (DEEs). It focuses on the basic results of the theory of dynamical systems that can be extended naturally and applied to study the asymptotic behavior of the solutions of DEEs. The auth

chapter Chapter 1|40 pages

Dynamical Processes

chapter Chapter 2|48 pages

Attractors of Semiflows

chapter Chapter 3|46 pages

Attractors for Semilinear Evolution Equations

chapter Chapter 4|42 pages

Exponential Attractors

chapter Chapter 5|64 pages

Inertial Manifolds

chapter Chapter 6|50 pages

Examples

chapter Chapter 7|32 pages

A Nonexistence Result for Inertial Manifolds