Asymptotic Behavior of Dissipative Systems is popular PDF and ePub book, written by Jack K. Hale in 2010-01-04, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Asymptotic Behavior of Dissipative Systems can be Read Online from any device for your convenience.
Asymptotic Behavior of Dissipative Systems Book PDF Summary
This monograph reports the advances that have been made in the area by the author and many other mathematicians; it is an important source of ideas for the researchers interested in the subject. --Zentralblatt MATH Although advanced, this book is a very good introduction to the subject, and the reading of the abstract part, which is elegant, is pleasant. ... this monograph will be of valuable interest for those who aim to learn in the very rapidly growing subject of infinite-dimensional dissipative dynamical systems. --Mathematical Reviews 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.
Detail Book of Asymptotic Behavior of Dissipative Systems PDF
- Author : Jack K. Hale
- Release : 04 January 2010
- Publisher : American Mathematical Soc.
- ISBN : 9780821849347
- Genre : Mathematics
- Total Page : 210 pages
- Language : English
- PDF File Size : 16,8 Mb
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