Infinite-Dimensional Dynamical Systems in Mechanics and Physics
2nd Edition
Published on 7. December 2013
Book
Paperback/Softback
XXII, 650 pages
978-1-4612-6853-6 (ISBN)
Description
In this book the author presents the dynamical systems in infinite dimension, especially those generated by dissipative partial differential equations. This book attempts a systematic study of infinite dimensional dynamical systems generated by dissipative evolution partial differential equations arising in mechanics and physics and in other areas of sciences and technology. This second edition has been updated and extended.
More details
Series
Edition
Second Edition 1997
Language
English
Place of publication
New York
United States
Target group
Primary & secondary/elementary & high school
Graduate
Illustrations
XXII, 650 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 37 mm
Weight
1007 gr
ISBN-13
978-1-4612-6853-6 (9781461268536)
DOI
10.1007/978-1-4612-0645-3
Schweitzer Classification
Other editions
Additional editions
Book
04/1997
2nd Edition
Springer
€139.09
Shipment within 5-7 days
Previous edition
Book
08/1988
Springer
€69.87
Article exhausted; check for reprint
Content
Contents: General results and concepts on invariant sets and attractors.- Elements of functional analysis.- Attractors of the dissipative evolution equation of the first order in time: reaction-diffusion equations.- Fluid mechanics and pattern formation equations.- Attractors of dissipative wave equations.- Lyapunov exponents and dimensions of attractors.- Explicit bounds on the number of degrees of freedom and the dimension of attractors of some physical systems.- Non-well-posed problems, unstable manifolds. lyapunov functions, and lower bounds on dimensions.- The cone and squeezing properties.- Inertial manifolds.- New chapters: Inertial manifolds and slow manifolds the nonselfadjoint case.