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

• Superior document: Title is part of eBook package: De Gruyter DG Plus PP Package 2022 Part 2
• VerfasserIn: Qin, Yuming,; Su, Keqin,
• Place / Publishing House: Les Ulis : : EDP Sciences, , [2022]; ©2022
• Year of Publication: 2022
• Language: English
• Series: Current Natural Sciences
• Physical Description: 1 online resource (224 p.)

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.

Table of 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