Infinite-dimensional dynamical systems (Upper. Lower)

Author: Guo Balin
Publisher:
Publish Date: 2002-01-01
Features: This book is a monograph on the mathematical theory of infinite-dimensional dynamical systems. It aims to introduce readers to the fundamental knowledge of infinite-dimensional dynamical systems and then present current research topics and significant new results in the field of infinite-dimensional dynamical systems using a relatively simple and clear, accessible approach with minimal. These results include those obtained by the author and other contributors. The book is divided into seven chapters: Chapter 1: Attractors and Dimension Estimation, Chapter 2: Inertial Manifolds, Chapter 3: Approximate Inertial Manifolds, Chapter 4: Discrete Attractors and Approximate Calculations, Chapter 5: Some Properties of Global Attractors, Chapter 6: Structure of Systems with Small Dissipation, Chapter 7: Existence and Stability of Solitons. This book can serve as a reference for senior undergraduate and graduate students majoring in applied mathematics, as well as for researchers engaged in nonlinear science research.