Von Karman Evolution Equations

From the book reviews: "The monograph investigates von Karman evolution equations from the point of view of the existence and uniqueness and asymptotic behavior of a solution. ... The monograph is nicely written and contains results based on new developments in the subject. It can be recommended to experts working in partial differential equations and dynamical systems and also to physicists and engineers interested in the asymptotic analysis of dissipative systems arising in continuum mechanics." (Igor Bock, zbMATH, Vol. 1298, 2014) "The authors present an in-depth account of the state of the art in the field ... . The book presents in a self-contained and comprehensive manner all necessary analytical tools as well as a wealth of applications. Many of the results included in this volume are either available for the first time in book form or are even entirely new. Without doubt it will set the standard for the field for years to come." (M. Kunzinger, Monatshefte fur Mathematik, Vol. 167 (1), July, 2012) "This almost 800-page monograph ... is probably the most detailed treatise ever written on the von Karman evolution equations ... . The appendix provides the necessary background and preliminary material used throughout the book. The book contains a number of original results that appear in print for the first time. ... All the mathematical methods and asymptotic models discussed in the book were developed with real physical and engineering problems in mind. ... can be a solid basis for further finite element numerical analysis." (Alexander Figotin, SIAM Review, Vol. 53 (3), 2011)

• 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.