Von Karman Evolution Equations Well-posedness and Long Time Dynamics /

• Main Authors: Chueshov, Igor (Author), Lasiecka, Irena (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2010.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Dynamics.; Ergodic theory.; Partial differential equations.; Applied mathematics.; Engineering mathematics.; Partial Differential Equations.; Dynamical Systems and Ergodic Theory.; Analysis.; Applications of Mathematics.

The main goal of this book is to discuss and present results on well-posedness, regularity and long-time behavior of non-linear dynamic plate (shell) models described by von Karman evolutions. While many of the results presented here are the outgrowth of very recent studies by the authors, including...

Table of Contents:

• Well-Posedness
• Preliminaries
• Evolutionary Equations
• Von Karman Models with Rotational Forces
• Von Karman Equations Without Rotational Inertia
• Thermoelastic Plates
• Structural Acoustic Problems and Plates in a Potential Flow of Gas
• Long-Time Dynamics
• Attractors for Evolutionary Equations
• Long-Time Behavior of Second-Order Abstract Equations
• Plates with Internal Damping
• Plates with Boundary Damping
• Thermoelasticity
• Composite Wave–Plate Systems
• Inertial Manifolds for von Karman Plate Equations.