Overview
- Authors well-known experts of nonlinear PDE
- Exhaustive introduction in theory and methods of evolutionary Karman plate theory
- Self-contained exposition of methods pertaining to well-posedness, stability
- Critical nonlinearities and nonlinear damping highly exposed
- Relevant tools developed. These constitute new and original results in the field
Part of the book series: Springer Monographs in Mathematics (SMM)
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Table of contents (13 chapters)
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Front Matter
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Back Matter
Keywords
About this book
Reviews
From the book reviews:
“The monograph investigates von Kármán 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 für 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)Authors and Affiliations
Bibliographic Information
Book Title: Von Karman Evolution Equations
Book Subtitle: Well-posedness and Long Time Dynamics
Authors: Igor Chueshov, Irena Lasiecka
Series Title: Springer Monographs in Mathematics
DOI: https://doi.org/10.1007/978-0-387-87712-9
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2010
Hardcover ISBN: 978-0-387-87711-2Published: 06 May 2010
Softcover ISBN: 978-1-4614-2591-5Published: 27 May 2012
eBook ISBN: 978-0-387-87712-9Published: 08 April 2010
Series ISSN: 1439-7382
Series E-ISSN: 2196-9922
Edition Number: 1
Number of Pages: XIV, 770
Number of Illustrations: 10 b/w illustrations
Topics: Partial Differential Equations, Dynamical Systems and Ergodic Theory, Analysis, Applications of Mathematics