Attractors for Nonlinear Autonomous Dynamical Systems / Yuming Qin and Keqin Su.

Format:

Book

Author/Creator:

Qin, Yuming, author.

Su, Keqin, author.

Series:

Current neurosurgical practice.

Current Natural Sciences Series

Language:

English

Subjects (All):

Attractors (Mathematics).

Nonlinear systems.

Physical Description:

1 online resource (244 pages) : illustrations.

Edition:

First edition.

Place of Publication:

Les Ulis, France : EDP Sciences, [2022]

Summary:

This book introduces complete and systematic theories of infinite-dimensional dynamical systems and their applications in partial differential equations, especially in the models of fluid mechanics. It is based on the first author’s lecture “Infinite dimensional dynamical systems on nonlinear autonomous systems” given to graduate students in Donghua University since 2004. This book presents recent results that have been carried out by the authors on autonomous nonlinear evolutionar yequations arising from physics, fluid mechanics and material science such as the Navier–Stokes equations, Navier–Stokes–Voight systems, the nonlinear thermoviscoelastic system, etc.

Contents:

Frontmatter

Contents

Preface

Chapter 1 Preliminary

Chapter 2 Global Attractors for the Navier–Stokes–Voight Equations with Delay

Chapter 3 Global Attractor and Its Upper Estimate on Fractal Dimension for the 2D Navier–Stokes–Voight Equations

Chapter 4 Maximal Attractor for the Equations of One-Dimensional Compressible Polytropic Viscous Ideal Gas

Chapter 5 UniversalAttractors for a NonlinearSystem of Compressible One-Dimensional Heat-Conducting Viscous Real Gas

Chapter 6 Global Attractors for the Compressible Navier–Stokes Equations in Bounded Annular Domains

Chapter 7 Global Attractor for a Nonlinear Thermoviscoelastic System in Shape Memory Alloys

Chapter 8 Global Attractors for Nonlinear Reaction–Diffusion Equations and the 2D Navier–Stokes Equations

Chapter 9 Global Attractors for an Incompressible Fluid Equation and a Wave Equation

References

Index

Notes:

Includes bibliographical references and index.

Description based on: online resource; title from PDF information screen (De Gruyter, viewed November 25, 2022).

Description based on print version record.

ISBN:

9782759827039

2759827038

OCLC:

1343104374