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Medientyp:
E-Book
Titel:
Attractors for Nonlinear Autonomous Dynamical Systems
Enthält:
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
Beschreibung:
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