Dynamics of Evolutionary Equations

by Sell, George R.; You, Yuncheng

• ISBN13: 9780387983479
• ISBN10: 0387983473
• Format: Hardcover
• Copyright: 2002-03-01
• Publisher: Springer Verlag

Summary

The theory and applications of infinite dimensional dynamical systems have attracted the attention of scientists for quite some time. Dynamical issues arise in equations which attempt to model phenomena that change with time, and the infinite dimensional aspects occur when forces that describe the motion depend on spatial variables. This book may serve as an entree for scholars beginning their journey into the world of dynamical systems, especially infinite dimensional spaces. The main approach involves the theory of evolutionary equations. It begins with a brief essay on the evolution of evolutionary equations and introduces the origins of the basic elements of dynamical systems, flow and semiflow.

Table of Contents

Preface

The Evolution of Evolutionary Systems

Dynamical Systems: Basic Theory

Linear Semigroups

Basic Theory of Evolutionary Equations

Nonlinear Partial Differential Equations

Navier Stokes Dynamics

Basic Principles of Dynamics

Inertial Manifolds and the Reduction Principle

Appendices: Basics of Functional Analysis

Bibliography

Notation Index

Subject Index

Table of Contents provided by Publisher. All Rights Reserved.