Volume 1 Attractors and Inertial Manifolds

Boling Guo; Liming Ling; Yansheng Ma; Hui Yang

Published by De Gruyter 2018

Volume 1 Attractors and Inertial Manifolds

Boling Guo , Liming Ling , Yansheng Ma and Hui Yang

Part of the multi-volume work Infinite-Dimensional Dynamical Systems

https://doi.org/10.1515/9783110549652

Overview
Contents

About this book

This two-volume work presents state-of-the-art mathematical theories and results on infinite-dimensional dynamical systems. Inertial manifolds, approximate inertial manifolds, discrete attractors and the dynamics of small dissipation are discussed in detail. The unique combination of mathematical rigor and physical background makes this work an essential reference for researchers and graduate students in applied mathematics and physics.

The main emphasis in the first volume is on the mathematical analysis of attractors and inertial manifolds. This volume deals with the existence of global attractors, inertial manifolds and with the estimation of Hausdorff fractal dimension for some dissipative nonlinear evolution equations in modern physics. Known as well as many new results about the existence, regularity and properties of inertial manifolds and approximate inertial manifolds are also presented in the first volume. The second volume will be devoted to modern analytical tools and methods in infinite-dimensional dynamical systems.

Contents
Attractor and its dimension estimation
Inertial manifold
The approximate inertial manifold

Presents classical and modern results on infinite-dimensional dynamical systems.
Covers attractors, (approximate) inertial manifolds, small dissipation, etc.
Of interest to researchers and graduate students in applied mathematics and physics.

Author / Editor information

B. Guo, Inst. of Appl. Phys. & Comp. Math.; L. Ling, South China U. of Tech.; Y. Ma, Northeast Normal U.; H. Yang, Yunnan Normal U.

Topics

Frontmatter Publicly Available Download PDF	I
Preface Requires Authentication Unlicensed Licensed Download PDF	V
Contents Publicly Available Download PDF	VII
1. Attractor and its dimension estimation Requires Authentication Unlicensed Licensed Download PDF	1
2. Inertial manifold Requires Authentication Unlicensed Licensed Download PDF	201
3. The approximate inertial manifold Requires Authentication Unlicensed Licensed Download PDF	307
Bibliography Requires Authentication Unlicensed Licensed Download PDF	419
Index Requires Authentication Unlicensed Licensed Download PDF	429

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Researchers and graduate students in mathematics and physics.
Pages
- Front matter: 8
- Main content: 430
Illustrations
- Illustrations: 30

eBook

Published: July 9, 2018
ISBN: 9783110549652

Hardcover

Published: July 9, 2018
ISBN: 9783110549256