Asympstotic Behavior of Dissipative Systems (Mathematical Surveys and Monographs, 25) - Hardcover

Hale, Jack K.

Hardcover

ISBN 10: 082181527X ISBN 13: 9780821815274

Publisher: Amer Mathematical Society, 1988

Synopsis

This book is directed at researchers in nonlinear ordinary and partial differential equations and at those who apply these topics to other fields of science. About one third of the book focuses on the existence and properties of the flow on the global attractor for a discrete or continuous dynamical system. The author presents a detailed discussion of abstract properties and examples of asymptotically smooth maps and semigroups. He also covers some of the continuity properties of the global attractor under perturbation, its capacity and Hausdorff dimension, and the stability of the flow on the global attractor under perturbation. The remainder of the book deals with particular equations occurring in applications and especially emphasizes delay equations, reaction-diffusion equations, and the damped wave equations. In each of the examples presented, the author shows how to verify the existence of a global attractor, and, for several examples, he discusses some properties of the flow on the global attractor.

Edition details

• Publisher: Amer Mathematical Society
• Publication date: 1988
• Language: English
• ISBN 10: 082181527X
• ISBN 13: 9780821815274
• Binding: Hardcover
• Number of pages: 198