Nonlinear Evolution Equations

Publisher: EDP Sciences
Year: 2023
Tongue: English
Leaves: 372
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

The book introduces the existence, uniqueness, regularity and the long time behavior of solutions with respect to space and time, and the explosion phenomenon for some evolution equations, including the KdV equation, the nonlinear Schrödinger equation, the sine-Gordon equation, the Zakharov equations, the Landau-Lifshitz equations, the Boussinesq equation, the Navier-Stokes equations and the Newton-Boussinesq equations etc., as well as the basic concepts and research methods of infinite-dimensional dynamical systems. This book presents fundamental elements and important advances in nonlinear evolution equations. It is intended for senior university students, graduate students, postdoctoral fellows and young teachers to acquire a basic understanding of this field, while providing a reference for experienced researchers and teachers in natural sciences and engineering technology to broaden their knowledge.

✦ Table of Contents

Preface
Contents
Chapter 1 Physical Backgrounds for Some Nonlinear Evolution Equations
Chapter 2 The Properties of the Solutions for Some Nonlinear Evolution Equations
Chapter 3 Some Results for the Studies of Some Nonlinear Evolution Equations
Chapter 4 Similarity Solution and the Painlevé Property for Some Nonlinear Evolution Equations
Chapter 5 Infinite Dimensional Dynamical Systems
Chapter 6 Appendix
Bibliography
Index

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