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Von Karman Evolution Equations Well-posedness and Long Time Dynamics

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...

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Bibliographic Details
Main Authors: Chueshov, Igor, Lasiecka, Irena (Author)
Format: eBook
Language:English
Published: New York, NY Springer New York 2010, 2010
Edition:1st ed. 2010
Series:Springer Monographs in Mathematics
Subjects:
Applied Mathematics
Dynamical Systems And Ergodic Theory
Ergodic Theory
Engineering Mathematics
Mathematical Analysis
Analysis
Applications Of Mathematics
Partial Differential Equations
Analysis (mathematics)
Dynamics
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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

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