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
• Language: English
• Published: New York, NY : Springer New York, 2010.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Global analysis (Mathematics).; Differentiable dynamical systems.; Differential equations, partial.; Partial Differential Equations.; Dynamical Systems and Ergodic Theory.; Analysis.; Applications of Mathematics.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-387-87712-9

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
• Evolutionary Equations
• Von Karman models with rotational forces
• Von Karman equations without rotational intertia
• Thermoelasticity of Plates
• Structural Acoustic Problems and Plates in a Potential Flow of Gas
• Attractors for evolutionary equations
• Long-time behaviour 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.